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1.


    Serra, Roberto.
    Modelling Protocells [Electronic resource] : the Emergent Synchronization of Reproduction and Molecular Replication / / Roberto. Serra, Villani, Marco. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XV, 182 p. 46 illus., 33 illus. in color. - ISBN 9789402411607
    Зміст:
Рубрики: Statistical physics.
   Dynamical systems.

   Biophysics.

   Biological physics.

   Evolutionary biology.

   Biotechnology.

   Complex Systems.

   Biological and Medical Physics, Biophysics.

   Evolutionary Biology.

   Biotechnology.

   Statistical Physics and Dynamical Systems.

Анотація: The monograph discusses models of synthetic protocells, which are cell-like structures obtained from non-living matter endowed with some rudimentary kind of metabolism and genetics, but much simpler than biological cells. They should grow and proliferate, generating offsprings that resemble in some way the parent protocells with some variation, so that selection may take place. Sustainable protocell populations have not yet been obtained experimentally and mathematical models are therefore extremely important to address key questions concerning their synthesis and behavior. Different protocell “architectures” have been proposed and high-level abstract models like those that are presented in this book are particularly relevant to gain a better understanding of the different properites. These models are able to treat all the major dynamical phenomena in a unified framework, so they can be seen as “virtual laboratories” for protocell research. Particular attention is paid to the problem of synchronization of the fission rate of the whole protocell and the duplication rate of its "protogenetic" material, which is shown to be an emergent property that spontaneously develops in successive generations. The book is of interest for a broad range of scientists working in soft matter physics, chemistry and biology, interested in the role protocells may play on the development of new technologies with medical, environmental and industrial applications as well as scientists interested in the origin of life.
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Villani, Marco.; Serra, Roberto. \.\
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2.


   
    Applications of Sliding Mode Control in Science and Engineering [Electronic resource] / ed.: Vaidyanathan, Sundarapandian., Lien, Chang-Hua. - 1st ed. 2017. - [S. l. : s. n.]. - XI, 470 p. 246 illus., 236 illus. in color. - ISBN 9783319555980
    Зміст:
Рубрики: Computational intelligence.
   Control engineering.

   Statistical physics.

   Computational Intelligence.

   Control and Systems Theory.

   Applications of Nonlinear Dynamics and Chaos Theory.

Анотація: Gathering 20 chapters contributed by respected experts, this book reports on the latest advances in and applications of sliding mode control in science and engineering. The respective chapters address applications of sliding mode control in the broad areas of chaos theory, robotics, electrical engineering, physics, chemical engineering, memristors, mechanical engineering, environmental engineering, finance, and biology. Special emphasis has been given to papers that offer practical solutions, and which examine design and modeling involving new types of sliding mode control such as higher order sliding mode control, terminal sliding mode control, super-twisting sliding mode control, and integral sliding mode control. This book serves as a unique reference guide to sliding mode control and its recent applications for graduate students and researchers with a basic knowledge of electrical and control systems engineering.
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Vaidyanathan, Sundarapandian. \ed.\; Lien, Chang-Hua. \ed.\
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3.


    Duriez, Thomas.
    Machine Learning Control – Taming Nonlinear Dynamics and Turbulence [Electronic resource] / Thomas. Duriez, Brunton, Steven L., Noack, Bernd R. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XX, 211 p. 73 illus., 58 illus. in color. - ISBN 9783319406244
    Зміст:
Рубрики: Fluid mechanics.
   Fluids.

   Control engineering.

   Microprogramming .

   Artificial intelligence.

   Statistical physics.

   Engineering Fluid Dynamics.

   Fluid- and Aerodynamics.

   Control and Systems Theory.

   Control Structures and Microprogramming.

   Artificial Intelligence.

   Applications of Nonlinear Dynamics and Chaos Theory.

Анотація: This is the first book on a generally applicable control strategy for turbulence and other complex nonlinear systems. The approach of the book employs powerful methods of machine learning for optimal nonlinear control laws. This machine learning control (MLC) is motivated and detailed in Chapters 1 and 2. In Chapter 3, methods of linear control theory are reviewed. In Chapter 4, MLC is shown to reproduce known optimal control laws for linear dynamics (LQR, LQG). In Chapter 5, MLC detects and exploits a strongly nonlinear actuation mechanism of a low-dimensional dynamical system when linear control methods are shown to fail. Experimental control demonstrations from a laminar shear-layer to turbulent boundary-layers are reviewed in Chapter 6, followed by general good practices for experiments in Chapter 7. The book concludes with an outlook on the vast future applications of MLC in Chapter 8. Matlab codes are provided for easy reproducibility of the presented results. The book includes interviews with leading researchers in turbulence control (S. Bagheri, B. Batten, M. Glauser, D. Williams) and machine learning (M. Schoenauer) for a broader perspective. All chapters have exercises and supplemental videos will be available through YouTube. .
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Brunton, Steven L.; Noack, Bernd R.; Duriez, Thomas. \.\
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4.


   
    Active Particles, Volume 1 [Electronic resource] : advances in Theory, Models, and Applications / / ed.: Bellomo, Nicola., Degond, Pierre., Tadmor, Eitan. - 1st ed. 2017. - [S. l. : s. n.]. - X, 402 p. 100 illus., 94 illus. in color. - ISBN 9783319499963
    Зміст:
Рубрики: Mathematical models.
   System theory.

   Statistical physics.

   Dynamical systems.

   Mathematical Modeling and Industrial Mathematics.

   Complex Systems.

   Complex Systems.

   Statistical Physics and Dynamical Systems.

   Systems Theory, Control.

Анотація: This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.
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Bellomo, Nicola. \ed.\; Degond, Pierre. \ed.\; Tadmor, Eitan. \ed.\
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5.


    Packwood, Daniel.
    Bayesian Optimization for Materials Science [Electronic resource] / Daniel. Packwood ; . - 1st ed. 2017. - [S. l. : s. n.]. - VIII, 42 p. 16 illus., 12 illus. in color. - ISBN 9789811067815
    Зміст:
Рубрики: Materials science.
   Force and energy.

   Statistics .

   Statistical physics.

   Energy Materials.

   Statistical Theory and Methods.

   Statistical Physics and Dynamical Systems.

Анотація: This book provides a short and concise introduction to Bayesian optimization specifically for experimental and computational materials scientists. After explaining the basic idea behind Bayesian optimization and some applications to materials science in Chapter 1, the mathematical theory of Bayesian optimization is outlined in Chapter 2. Finally, Chapter 3 discusses an application of Bayesian optimization to a complicated structure optimization problem in computational surface science. Bayesian optimization is a promising global optimization technique that originates in the field of machine learning and is starting to gain attention in materials science. For the purpose of materials design, Bayesian optimization can be used to predict new materials with novel properties without extensive screening of candidate materials. For the purpose of computational materials science, Bayesian optimization can be incorporated into first-principles calculations to perform efficient, global structure optimizations. While research in these directions has been reported in high-profile journals, until now there has been no textbook aimed specifically at materials scientists who wish to incorporate Bayesian optimization into their own research. This book will be accessible to researchers and students in materials science who have a basic background in calculus and linear algebra.
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6.


   
    Avalanches in Functional Materials and Geophysics [Electronic resource] / ed.: Salje, Ekhard K.H., Saxena, Avadh., Planes, Antoni. - 1st ed. 2017. - [S. l. : s. n.]. - XVII, 298 p. 171 illus., 80 illus. in color. - ISBN 9783319456126
    Зміст:
Рубрики: Statistical physics.
   Geophysics.

   Structural materials.

   Condensed matter.

   Applications of Nonlinear Dynamics and Chaos Theory.

   Geophysics/Geodesy.

   Structural Materials.

   Condensed Matter Physics.

   Geophysics and Environmental Physics.

Анотація: This book provides the state-of-the art of the present understanding of avalanche phenomena in both functional materials and geophysics. The main emphasis of the book is analyzing these apparently different problems within the common perspective of out-of-equilibrium phenomena displaying spatial and temporal complexity that occur in a broad range of scales. Many systems, when subjected to an external force, respond intermittently in the form of avalanches that often span over a wide range of sizes, energies and durations. This is often related to a class of critical behavior characterized by the absence of characteristic scales. Typical examples are magnetization processes, plastic deformation and failure occuring in functional materials. These phenomena share many similarities with seismicity arising from the earth crust failure due to stresses that originate from plate tectonics.
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Salje, Ekhard K.H. \ed.\; Saxena, Avadh. \ed.\; Planes, Antoni. \ed.\
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7.


    de Oliveira, Oliveira, Mário J.
    Equilibrium Thermodynamics [Electronic resource] / Oliveira, Mário J. de Oliveira ; . - 2nd ed. 2017. - [S. l. : s. n.]. - XI, 400 p. 81 illus. - ISBN 9783662532072
    Зміст:
Рубрики: Thermodynamics.
   Phase transitions (Statistical physics).

   Physical chemistry.

   Statistical physics.

   Dynamical systems.

   Thermodynamics.

   Phase Transitions and Multiphase Systems.

   Physical Chemistry.

   Complex Systems.

   Statistical Physics and Dynamical Systems.

Анотація: This textbook provides an exposition of equilibrium thermodynamics and its applications to several areas of physics with particular attention to phase transitions and critical phenomena. The applications include several areas of condensed matter physics and include also a chapter on thermochemistry. Phase transitions and critical phenomena are treated according to the modern development of the field, based on the ideas of universality and on the Widom scaling theory. For each topic, a mean-field or Landau theory is presented to describe qualitatively the phase transitions. These theories include the van der Waals theory of the liquid-vapor transition, the Hildebrand-Heitler theory of regular mixtures, the Griffiths-Landau theory for multicritical points in multicomponent systems, the Bragg-Williams theory of order-disorder in alloys, the Weiss theory of ferromagnetism, the Néel theory of antiferromagnetism, the Devonshire theory for ferroelectrics and Landau-de Gennes theory of liquid crystals. This new edition presents expanded sedctions on phase transitions, liquid crystals and magnetic systems, for all problems detailed solutions are provided. It is intended for students in physics and chemistry and provides a unique combination of thorough theoretical explanation and presentation of applications in both areas. Chapter summaries, highlighted essentials and problems with solutions enable a self sustained approach and deepen the knowledge. It is intended for students in physics and chemistry and provides a unique combination of thorough theoretical explanation and presentation of applications in both areas. Chapter summaries, highlighted essentials and problems with solutions enable a self sustained approach and deepen the knowledge.
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de Oliveira, Mário J. \.\
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8.


    Baldock, Robert John Nicholas.
    Classical Statistical Mechanics with Nested Sampling [Electronic resource] / Robert John Nicholas. Baldock ; . - 1st ed. 2017. - [S. l. : s. n.]. - XII, 144 p. 30 illus., 25 illus. in color. - ISBN 9783319667690
    Зміст:
Рубрики: Statistical physics.
   Dynamical systems.

   Phase transitions (Statistical physics).

   Physics.

   Complex Systems.

   Phase Transitions and Multiphase Systems.

   Numerical and Computational Physics, Simulation.

   Statistical Physics and Dynamical Systems.

Анотація: This thesis develops a nested sampling algorithm into a black box tool for directly calculating the partition function, and thus the complete phase diagram of a material, from the interatomic potential energy function. It represents a significant step forward in our ability to accurately describe the finite temperature properties of materials. In principle, the macroscopic phases of matter are related to the microscopic interactions of atoms by statistical mechanics and the partition function. In practice, direct calculation of the partition function has proved infeasible for realistic models of atomic interactions, even with modern atomistic simulation methods. The thesis also shows how the output of nested sampling calculations can be processed to calculate the complete PVT (pressure–volume–temperature) equation of state for a material, and applies the nested sampling algorithm to calculate the pressure–temperature phase diagrams of aluminium and a model binary alloy.
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9.


    Ren, Chiang H.
    How Systems Form and How Systems Break [Electronic resource] : a Beginner’s Guide for Studying the World / / Chiang H. Ren ; . - 1st ed. 2017. - [S. l. : s. n.]. - XII, 179 p. 47 illus., 1 illus. in color. - ISBN 9783319440309
    Зміст:
Рубрики: Computational complexity.
   Vibration.

   Dynamical systems.

   Dynamics.

   Statistical physics.

   System theory.

   Complexity.

   Vibration, Dynamical Systems, Control.

   Complex Systems.

   Systems Theory, Control.

   Statistical Physics and Dynamical Systems.

Анотація: Our world is composed of systems within systems—the machines we build, the information we share, the organizations we form, and elements of nature that surround us. Therefore, nearly every field of study and practice embodies behaviors stemming from system dynamics. Yet the study of systems has remained somewhat fragmented based on philosophies, methodologies, and intentions. Many methodologies for analyzing complex systems extend far beyond the traditional framework of deduction evaluation and may, thus, appear mysterious to the uninitiated. This book seeks to dispel the mysteries of systems analysis by holistically explaining the philosophies, methodologies, and intentions in the context of understanding how all types of systems in our world form and how these systems break. This presentation is made at the level of conceptual understanding, with plenty of figures but no mathematical formulas, for the beginning student and interested readers new to studying systems. Through the conceptual understanding provided, students are given a powerful capability to see the hidden behaviors and unexplained consequences in the world around us.
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Ren, Chiang H. \.\
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10.


    Xu, Jian-Jun.
    Interfacial Wave Theory of Pattern Formation in Solidification [Electronic resource] : dendrites, Fingers, Cells and Free Boundaries / / Jian-Jun. Xu ; . - 2nd ed. 2017. - [S. l. : s. n.]. - XX, 591 p. 168 illus., 69 illus. in color. - ISBN 9783319526638
    Зміст:
Рубрики: Amorphous substances.
   Complex fluids.

   Chemical engineering.

   Materials—Surfaces.

   Thin films.

   Statistical physics.

   Fluid mechanics.

   Soft and Granular Matter, Complex Fluids and Microfluidics.

   Industrial Chemistry/Chemical Engineering.

   Surfaces and Interfaces, Thin Films.

   Applications of Nonlinear Dynamics and Chaos Theory.

   Engineering Fluid Dynamics.

Анотація: This comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences.
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11.


   
    Simulating Social Complexity [Electronic resource] : a Handbook / / ed.: Edmonds, Bruce., Meyer, Ruth. - 2nd ed. 2017. - [S. l. : s. n.]. - VII, 838 p. 85 illus., 32 illus. in color. - ISBN 9783319669489
    Зміст:
Рубрики: Application software.
   Social sciences.

   Statistical physics.

   Dynamical systems.

   Behavioral sciences.

   Game theory.

   Computer simulation.

   Computer Appl. in Social and Behavioral Sciences.

   Social Sciences, general.

   Complex Systems.

   Behavioral Sciences.

   Game Theory, Economics, Social and Behav. Sciences.

   Simulation and Modeling.

Анотація: This volume examines all aspects of using agent or individual-based simulation. This approach represents systems as individual elements having their own set of differing states and internal processes. The interactions between elements in the simulation represent interactions in the target systems. What makes this "social" is that it can represent an observed society. Social systems include all those systems where the components have individual agency but also interact with each other. This includes human societies and groups, but also increasingly socio-technical systems where the internet-based devices form the substrate for interaction. These systems are central to our lives, but are among the most complex known. This poses particular problems for those who wish to understand them. The complexity often makes analytic approaches infeasible but, on the other hand, natural language approaches are also inadequate for relating intricate cause and effect. This is why individual an d agent-based computational approaches hold out the possibility of new and deeper understanding of such systems. This handbook marks the maturation of this new field. It brings together summaries of the best thinking and practices in this area from leading researchers in the field and constitutes a reference point for standards against which future methodological advances can be judged. This second edition adds new chapters on different modelling purposes and applying software engineering methods to simulation development. Revised existing content will keep the book up-to-date with recent developments. This volume will help those new to the field avoid "reinventing the wheel" each time, and give them a solid and wide grounding in the essential issues. It will also help those already in the field by providing accessible overviews of current thought. The material is divided into four sections: Introduction, Methodology, Mechanisms, and Applications . Each chapter starts with a very brief section called ‘Why read this chapter?’ followed by an abstract, which summarizes the content of the chapter. Each chapter also ends with a section on ‘Further Reading’. Whilst sometimes covering technical aspects, this second edition of Simulating Social Complexity is designed to be accessible to a wide range of researchers, including both those from the social sciences as well as those with a more formal background. It will be of use as a standard reference text in the field and also be suitable for graduate level courses.
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12.


    Deymier, Pierre.
    Sound Topology, Duality, Coherence and Wave-Mixing [Electronic resource] : an Introduction to the Emerging New Science of Sound / / Pierre. Deymier, Runge, Keith. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XIII, 363 p. 50 illus., 31 illus. in color. - ISBN 9783319623801
    Зміст:
Рубрики: Solid state physics.
   Acoustics.

   Acoustical engineering.

   Vibration.

   Dynamical systems.

   Dynamics.

   Ceramics.

   Glass.

   Composites (Materials).

   Composite materials.

   Statistical physics.

   Solid State Physics.

   Acoustics.

   Engineering Acoustics.

   Vibration, Dynamical Systems, Control.

   Ceramics, Glass, Composites, Natural Materials.

   Applications of Nonlinear Dynamics and Chaos Theory.

Анотація: This book offers an essential introduction to the notions of sound wave topology, duality, coherence and wave-mixing, which constitute the emerging new science of sound. It includes general principles and specific examples that illuminate new non-conventional forms of sound (sound topology), unconventional quantum-like behavior of phonons (duality), radical linear and nonlinear phenomena associated with loss and its control (coherence), and exquisite effects that emerge from the interaction of sound with other physical and biological waves (wave mixing).  The book provides the reader with the foundations needed to master these complex notions through simple yet meaningful examples. General principles for unraveling and describing the topology of acoustic wave functions in the space of their Eigen values are presented. These principles are then applied to uncover intrinsic and extrinsic approaches to achieving non-conventional topologies by breaking the time revers al symmetry of acoustic waves. Symmetry breaking can impart topological immunity to wave degradation from imperfection scattering and catalyze controlled coherence. In the intrinsic case and the phonon representation of acoustic waves, the self-interaction/interference of a wave through its supporting medium exposes the notion of duality in the quantum statistics (i.e. boson vs. fermion characterized by the symmetry of multiple particle states) and how the quantum analogue behaviors of sound can be exploited in the form of novel sound-based information transfer and processing devices. By considering media that mix different types of waves, the book addresses the interaction of sound with other physical and biological waves but also brings to light examples of extrinsic processes that can lead to symmetry breaking. The coherent conversion of sound into other types of waves as well as the sound-induced non-conventional topology of elastic, electronic, spin and biological waves are presented in the case of media exhibiting elasto-electronic, photo-elastic, magneto-elastic effects and biological mechano-transduction.
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13.


    Chechurin, Leonid.
    Physical Fundamentals of Oscillations [Electronic resource] : frequency Analysis of Periodic Motion Stability / / Leonid. Chechurin, Chechurin, Sergej. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XV, 264 p. 196 illus., 33 illus. in color. - ISBN 9783319751542
    Зміст:
Рубрики: Computational complexity.
   Control engineering.

   Statistical physics.

   Complexity.

   Control and Systems Theory.

   Applications of Nonlinear Dynamics and Chaos Theory.

Анотація: The book introduces possibly the most compact, simple and physically understandable tool that can describe, explain, predict and design the widest set of phenomena in time-variant and nonlinear oscillations. The phenomena described include parametric resonances, combined resonances, instability of forced oscillations, synchronization, distributed parameter oscillation and flatter, parametric oscillation control, robustness of oscillations and many others. Although the realm of nonlinear oscillations is enormous, the book relies on the concept of minimum knowledge for maximum understanding. This unique tool is the method of stationarization, or one frequency approximation of parametric resonance problem analysis in linear time-variant dynamic systems. The book shows how this can explain periodic motion stability in stationary nonlinear dynamic systems, and reveals the link between the harmonic stationarization coefficients and describing functions. As such, the book speaks the language of control: transfer functions, frequency response, Nyquist plot, stability margins, etc. An understanding of the physics of stability loss is the basis for the design of new oscillation control methods for, several of which are presented in the book. These and all the other findings are illustrated by numerical examples, which can be easily reproduced by readers equipped with a basic simulation package like MATLAB with Simulink. The book offers a simple tool for all those travelling through the world of oscillations, helping them discover its hidden beauty. Researchers can use the method to uncover unknown aspects, and as a reference to compare it with other, for example, abstract mathematical means. Further, it provides engineers with a minimalistic but powerful instrument based on physically measurable variables to analyze and design oscillatory systems.
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Chechurin, Sergej.; Chechurin, Leonid. \.\
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14.


    Sicuro, Gabriele.
    The Euclidean Matching Problem [Electronic resource] / Gabriele. Sicuro ; . - 1st ed. 2017. - [S. l. : s. n.]. - XIV, 136 p. 50 illus., 6 illus. in color. - ISBN 9783319465777
    Зміст:
Рубрики: Physics.
   Statistical physics.

   Dynamical systems.

   Mathematical physics.

   Mathematical Methods in Physics.

   Complex Systems.

   Mathematical Physics.

   Statistical Physics and Dynamical Systems.

Анотація: This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain. iv.
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15.


    Luo, Albert C. J.
    Galloping Instability to Chaos of Cables [Electronic resource] / Albert C. J. Luo, Yu, Bo. ; . - 1st ed. 2017. - [S. l. : s. n.]. - X, 208 p. 35 illus. - ISBN 9789811052422
Рубрики: Vibration.
   Dynamical systems.

   Dynamics.

   Statistical physics.

   Vibration, Dynamical Systems, Control.

   Applications of Nonlinear Dynamics and Chaos Theory.

Анотація: This book provides students and researchers with a systematic solution for fluid-induced structural vibrations, galloping instability and the chaos of cables. They will also gain a better understanding of stable and unstable periodic motions and chaos in fluid-induced structural vibrations. Further, the results presented here will help engineers effectively design and analyze fluid-induced vibrations.
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Yu, Bo.; Luo, Albert C. J. \.\
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16.


    Schlawin, Frank.
    Quantum-Enhanced Nonlinear Spectroscopy [Electronic resource] / Frank. Schlawin ; . - 1st ed. 2017. - [S. l. : s. n.]. - XIV, 259 p. 95 illus., 14 illus. in color. - ISBN 9783319443973
    Зміст:
Рубрики: Quantum optics.
   Spectroscopy.

   Microscopy.

   Statistical physics.

   Quantum physics.

   Quantum Optics.

   Spectroscopy and Microscopy.

   Applications of Nonlinear Dynamics and Chaos Theory.

   Quantum Physics.

Анотація: This thesis focuses on nonlinear spectroscopy from a quantum optics perspective. First, it provides a detailed introduction to nonlinear optical signals; starting from Glauber’s photon counting formalism, it establishes the diagrammatic formulation, which forms the backbone of nonlinear molecular spectroscopy. The main body of the thesis investigates the impact of quantum correlations in entangled photon states on two-photon transitions, with a particular focus on the time-energy uncertainty, which restricts the possible simultaneous time and frequency resolution in measurements. It found that this can be violated with entangled light for individual transitions. The thesis then presents simulations of possible experimental setups that could exploit this quantum advantage. The final chapter is devoted to an application of the rapidly growing field of multidimensional spectroscopy to trapped ion chains, where it is employed to investigate nonequilibrium properties in quantum simulations.
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Дод.точки доступу:
Schlawin, Frank. \.\
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17.


    Liu, Xinzhi.
    Infectious Disease Modeling [Electronic resource] : a Hybrid System Approach / / Xinzhi. Liu, Stechlinski, Peter. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XVI, 271 p. 72 illus., 67 illus. in color. - ISBN 9783319532080
    Зміст:
Рубрики: Mathematical models.
   Infectious diseases.

   Computational complexity.

   Statistical physics.

   Epidemiology.

   Mathematical Modeling and Industrial Mathematics.

   Infectious Diseases.

   Complexity.

   Applications of Nonlinear Dynamics and Chaos Theory.

   Epidemiology.

Анотація: This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. The scope of coverage includes background on mathematical epidemiology, including classical formulations and results; a motivation for seasonal effects and changes in population behavior, an investigation into term-time forced epidemic models with switching parameters, and a detailed account of several different control strategies. The main goal is to study these models theoretically and to establish conditions under which eradication or persistence of the disease is guaranteed. In doing so, the long-term behavior of the models is determined through mathematical techniques from switched systems theory. Numerical simulations are also given to augment and illustrate the theoretical results and to help study the efficacy of the control schemes.
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Дод.точки доступу:
Stechlinski, Peter.; Liu, Xinzhi. \.\
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18.


    Luo, Albert C. J.
    Memorized Discrete Systems and Time-delay [Electronic resource] / Albert C. J. Luo ; . - 1st ed. 2017. - [S. l. : s. n.]. - X, 298 p. 35 illus., 17 illus. in color. - ISBN 9783319427782
    Зміст:
Рубрики: Computational complexity.
   Statistical physics.

   System theory.

   Systems biology.

   Econometrics.

   Complexity.

   Applications of Nonlinear Dynamics and Chaos Theory.

   Complex Systems.

   Systems Biology.

   Econometrics.

Анотація: This book examines discrete dynamical systems with memory—nonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems. It book further discusses stability and bifurcations of time-delay dynamical systems that can be investigated through memorized dynamical systems as well as bifurcations of memorized nonlinear dynamical systems, discretization methods of time-delay systems, and periodic motions to chaos in nonlinear time-delay systems. The book helps readers find analytical solutions of MDS, change traditional perturbation analysis in time-delay systems, detect motion complexity and singularity in MDS; and determine stability, bifurcation, and chaos in any time-delay system.
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Luo, Albert C. J. \.\
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19.


    Aluf, Ofer.
    Advance Elements of Optoisolation Circuits [Electronic resource] : nonlinearity Applications in Engineering / / Ofer. Aluf ; . - 1st ed. 2017. - [S. l. : s. n.]. - XVIII, 824 p. - ISBN 9783319553160
    Зміст:
Рубрики: Microwaves.
   Optical engineering.

   Lasers.

   Photonics.

   Statistical physics.

   Electronic circuits.

   Microwaves, RF and Optical Engineering.

   Optics, Lasers, Photonics, Optical Devices.

   Applications of Nonlinear Dynamics and Chaos Theory.

   Circuits and Systems.

Анотація: This book on advanced optoisolation circuits for nonlinearity applications in engineering addresses two separate engineering and scientific areas, and presents advanced analysis methods for optoisolation circuits that cover a broad range of engineering applications. The book analyzes optoisolation circuits as linear and nonlinear dynamical systems and their limit cycles, bifurcation, and limit cycle stability by using Floquet theory. Further, it discusses a broad range of bifurcations related to optoisolation systems: cusp-catastrophe, Bautin bifurcation, Andronov-Hopf bifurcation, Bogdanov-Takens (BT) bifurcation, fold Hopf bifurcation, Hopf-Hopf bifurcation, Torus bifurcation (Neimark-Sacker bifurcation), and Saddle-loop or Homoclinic bifurcation. Floquet theory helps as to analyze advance optoisolation systems. Floquet theory is the study of the stability of linear periodic systems in continuous time. Another way to describe Floquet theory, it is the study of linear systems of differential equations with periodic coefficients. The optoisolation system displays a rich variety of dynamical behaviors including simple oscillations, quasi-periodicity, bi-stability between periodic states, complex periodic oscillations (including the mixed-mode type), and chaos. The route to chaos in this optoisolation system involves a torus attractor which becomes destabilized and breaks up into a fractal object, a strange attractor. The book is unique in its emphasis on practical and innovative engineering applications. These include optocouplers in a variety of topological structures, passive components, conservative elements, dissipative elements, active devices, etc. In each chapter, the concept is developed from the basic assumptions up to the final engineering outcomes. The scientific background is explained at basic and advanced levels and closely integrated with mathematical theory. The book is primarily intended for newcomers to linear and nonlinear dynamics and advanced optoisolation circuits, as well as electrical and electronic engineers, students and researchers in physics who read the first book “Optoisolation Circuits Nonlinearity Applications in Engineering”. It is ideally suited for engineers who have had no formal instruction in nonlinear dynamics, but who now desire to bridge the gap between innovative optoisolation circuits and advanced mathematical analysis methods.
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Aluf, Ofer. \.\
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20.


    Sivakumar, Bellie.
    Chaos in Hydrology [Electronic resource] : bridging Determinism and Stochasticity / / Bellie. Sivakumar ; . - 1st ed. 2017. - [S. l. : s. n.]. - XXX, 394 p. 62 illus., 25 illus. in color. - ISBN 9789048125524
    Зміст:
Рубрики: Hydrogeology.
   Hydrology.

   Civil engineering.

   Statistical physics.

   Dynamical systems.

   Geotechnical engineering.

   Hydrogeology.

   Hydrology/Water Resources.

   Civil Engineering.

   Complex Systems.

   Geotechnical Engineering & Applied Earth Sciences.

   Statistical Physics and Dynamical Systems.

Анотація: This authoritative book presents a comprehensive account of the essential roles of nonlinear dynamic and chaos theories in understanding, modeling, and forecasting hydrologic systems. This is done through a systematic presentation of: (1) information on the salient characteristics of hydrologic systems and on the existing theories for their modeling; (2) the fundamentals of nonlinear dynamic and chaos theories, methods for chaos identification and prediction, and associated issues; (3) a review of the applications of chaos theory in hydrology; and (4) the scope and potential directions for the future. This book bridges the divide between the deterministic and the stochastic schools in hydrology, and is well suited as a textbook for hydrology courses.
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Sivakumar, Bellie. \.\
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