Cencini, M. & Vulpiani, A.
Chaos
From Simple Models to Complex Systems
World Scientific Publishing Co.Pte. Ltd. 2009.11
480 pp.(H)
ISBN 981-4277-65-7
10,800円
Contents
1.First Encounter with Chaos/ 2.The Language of Dynamical Systems/ 3.Examples of Chaotic Behaviors/ 4.Probabilistic Approach to Chaos/ 5.Characterization of Chaotic Dynamical Systems/ 6.From Order to Chaos in Dissipative Systems/ 7.Chaos in Hamiltonian Systems/ 8.Chaos and Information Theory/ 9.Coarse-Grained Information and Large Scale Predictability/ 10.Chaos in Numerical and Laboratory Experiments/ 11.Chaos in Low Dimensional Systems/ 12.Spatiotemporal Chaos/ 13.Turbulence as a Dynamical System Problem/ 14.Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study/ Index/
* Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research.
* The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. *
Thiel, M. et al. ed.
Nonlinear Dynamics and Chaos
Advances and Perspectives
Springer-Verlag 2010.4
320 pp.(H)
ISBN 3-642-04628-2
18,400円
Contents
1. "How Did you Get Into Chaos?"/ 2. Singular Perturbations of Complex Analytic Dynamical Systems/ 3. Heteroclinic Switching in Coupled Oscillator Networks: Dynamics on Odd Graphs/ 4. Dynamics of Finite-Size Particles in Chaotic Fluid Flows/ 5. Langevin Equation for Slow Degrees of Freedom of Hamiltonian Systems/ 6. Stable Chaos/ 7. Superpersistent Chaotic Transients/ 8. Synchronization and Climate Dynamics/ 9. Stochastic Synchronization/ 10. Experimental Huygens Synchronization of Oscillators/ 11. Controlling Chaos: The OGY Method, its Use in Mechanics, and an Alternative Unified Framework for Control of Non-Regular Dynamics/ 12. Detection of Patterns Within Randomness/ Index/
* The first contribution in this book, "How did you get into Chaos?", is actually a collection of personal accounts by a number of distinguished scientists on how they entered the field of chaos and dynamical systems, featuring comments and recollections by James Yorke, Harry Swinney, Floris Takens, Peter Grassberger, Edward Ott, Lou Pecora, Itamar Procaccia, Michael Berry, Giulio Casati, Valentin Afraimovich, Robert MacKay, and last but not least, Celso Grebogi, to whom this volume is dedicated. *
Sanjuan, M. A. F. & Grebogi, C. ed.
Recent Progress in Controlling Chaos
World Scientific Publishing Co.Pte. Ltd. 2010.1
440 pp.(H)
ISBN 981-4291-69-2
14,400円
Contents
1. Reduction of the Chaotic Transport of Impurities in Turbulent Magnetized Plasmas/ 2. Controlling Chaos in a Chaotic Neural Network/ 3. Adaptive Feedback Control of Periodic Orbits in Chaotic Systems/ 4. Feedback Anti-Control of Chaos/ 5. Delayed Feedback Control Techniques/ 7. Phase Control in Nonlinear Systems/ 8. Recent Advances in Control of Complex Dynamics in Mechanical and Structural Systems/ 9. Clipping Chaos to Cycles/ 10. A Minimal Model of City Traffic: Chaos, Critical Behavior and Control/ 11. Controlling Chaotic Bursting in Map-Based Neuron Network Models/ 12. Partial Control of Chaotic Systems/ 13. Continuous and Pulsive Feedback Control of Chaos/ 14. Chaos Control/ 15. Chaos Stabilization in the Three Body Problem/ 16. Controlling the Chaos Using Fuzzy Estimation in a Gyrostat Satellite/ Index/
* This review volume consists an indispensable collection of research papers chronicling the recent progress in controlling chaos. Here, new theoretical ideas, as experimental implementations of controlling chaos, are included, while the applications contained in this volume can be referred to as turbulent magnetized plasmas, chaotic neural networks, modeling city traffic and models of interest in celestial mechanics. *
Haake, F.
Quantum Signatures of Chaos 3rd ed.
Springer-Verlag 2010.4
570 pp.(H)
ISBN 3-642-05427-7
15,800円
Contents
1. Introduction/ 2. Time Reversal and Unitary Symmetries/ 3. Level Repulsion/ 4. Random-Matrix Theory/ 5. Level Clustering/ 6. Level Dynamics/ 7. Quantum Localization/ 8. Dissipative Systems/ 9. Classical Hamiltonian Chaos/ 10. Semiclassical Roles for Classical Orbits/ 11. Superanalysis for Random-Matrix Theory/ References/ Index/
* This by now classic text provides an excellent introduction and survey to the continuously expanding field of quantum chaos . The topics treated include a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria to distinguish regular and irregular motion, antiunitary symmetries (generalized time reversal), random matrix theory and a thorough account of the quantum mechanics of dissipative systems. Each chapter is accompanied by a selection of problems which will help the newcomer to test and deepen his/her understanding and to acquire an active command of the methods presented. *
Zelinka, I. et al. ed.
Evolutionary Algorithms and Chaotic Systems
Springer-Verlag 2010.2
560 pp.(H)
ISBN 3-642-10706-0
25,500円
Contents
1. Motivation for application of evolutionary computation to chaotic Systems/ 2. Evolutionary algorithms for chaos researchers/ 3. Chaos theory for evolutionary algorithms researchers/ 4. Evolutionary Algorithms and the Edge of Chaos/ 5. Evolutionary design of chaos control in 1D/6. Evolutionary control of CML systems/ 7. Chaotic systems reconstruction/ 8. Evolutionary reconstruction of chaotic systems/ 9. Cryptography based on Spatiotemporal Chaotic Systems/ 10. Evolutionary Decryption of Chaotically Encrypted Information/ 11. Chaos synthesis by evolutionary algorithms/ 12. Evolutionary Synchronization of Chaotic Systems/ 13. Evolutionary optimization and dynamic fitness landscapes/ 14. Controller parameters optimization on a representative set of systems using deterministic-chaotic-mutation evolutionary algorithms/ 15. Chaotic Attributes and Permutative Optimization/ Index/
* This book discusses the mutual intersection of two interesting fields of research, i.e. deterministic chaos and evolutionary computation. Evolutionary computation which are able to handle tasks such as control of various chaotic systems and synthesis of their structure are explored, while deterministic chaos is investigated as a behavioral part of evolutionary algorithms. *
Seuront, L.
Fractals and Multifractals in Ecology and Aquatic Science
CRC Press 2009.10
360 pp.(H)
ISBN 0-8493-2782-2
11,200円
Contents
1. About Geometries and Dimensions/ 2. Self-Similar Fractals/ 3. Self-Affine Fractals/ 4. Frequency Distribution Dimensions/ 5. Fractal-Related Concepts: Some Clarifications/ 6. Estimating Dimensions with Confidence/ 7. From Fractals to Multifractals/ Index/
* Provides an Intuitive View of Various Ecological Patterns and Processes Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet research within this broad field is becoming increasingly mathematical. Written in a step-by-step fashion, Fractals and Multifractals in Ecology and Aquatic Science provides scientists with a basic understanding of fractals and multifractals and the techniques for utilizing them when analyzing ecological phenomenon. *
Yoshida, Z.
Nonlinear Science
The Challenge of Complex Systems
（吉田善章著：非線形とは何か ― 複雑系への挑戦）
Springer-Verlag 2009.11
215 pp.(H)
ISBN 3-642-03405-5
15,900円
Contents
1. Nonlinearity and Nonlinear Science/ 2. From Regularity to Chaos/ 3. Science Facing Complexity/ 4. Conjunction of Micro and Macro Scales/ Index/
* This book gives a general, basic understanding of the mathematical structure "nonlinearity" that lies in the depths of complex systems. Analyzing the heterogeneity that the prefix "non" represents with respect to notions such as the linear space, integrability and scale hierarchy, "nonlinear science" is explained as a challenge of deconstruction of the modern sciences.
* This book is not a technical guide to teach mathematical tools of nonlinear analysis, nor a zoology of so-called nonlinear phenomena. By critically analyzing the structure of linear theories, and clarifying their limitation, this book makes the meaning of "nonlinear" (and, at the same time, of "linear") precise and concrete. *
370-51 登録日 10.05.20
