Vialar, T.
Complex and Chaotic Nonlinear Dynamics
Advances in Economics and Finance, Mathematics and Statistics
（複雑系およびカオス系非線形力学）
Springer-Verlag 2009.5
752 pp.(H)
ISBN 3-540-85977-2
25,500円
Contents
1.Investigation Methods of Complex and Chaotic Nonlinear Dynamics/ 2.Statistics of Complex and Chaotic Nonlinear Dynamics: Invariants and Rare Events/ 3.Spectral and Time-frequency Theories and Waveforms: Regularity and Singularity/ 4.Economic Growth, Instability and Nonlinearity/ Appendix/ Bibliography/ Index/
* This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing.
* Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book. *
Skiadas, C. H.
Chaotic Modelling and Simulation
Analysis of Chaotic Models, Attractors and Forms
Chapman & Hall/ CRC, USA 2008.10
364 pp.(H)
ISBN 1-4200-7900-X
11,800円
Contents
1.Introduction/ 2.Models and Modeling/ 3.The Logistic Model/ 4.The Delay Logistic Model/ 5.The Henon Model/ 6.Three-Dimensional and Higher-Dimensional Models/ 7.Nonchaotic Systems/ 8.Rotations/ 9.Shape and Form/ 10.Chaotic Advection/ 11.Chaos in Galaxies and Related Simulations/ 12.Galactic-Type Potentials and the Henon-Heiles System/ 13.Odds and Ends/ 14.Milestones/ References/ Index/
* Offers Both Standard and Novel Approaches for the Modeling of Systems Examines the Interesting Behavior of Particular Classes of Models Chaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models. Using more than 500 graphs and illustrations, the authors show how to design, estimate, and test an array of models. *
Orsucci, F.F. ed.
Chaos and Complexity Research Progress
Nova Science Pub. 2009.1
231 pp. (H)
ISBN 1-60456-166-1
11,000円
Contents
1. Dynamical Prediction of Chaotic Time Series/ 2. Dynamics as a Heuristic Framework for Psychopathology/ 3. Collective Phenomena in Living Systems and in Social Organization/ 4. Contribution to the Debate on Linear and Nonlinear Analysis of the Electroencephalogram/ 5. Complex Dynamics of Visual Arts/ 6. The Myth of the Tower of Babylon as a Symbol of Creative Chaos/ 7. Measures of Coupling Strength and Synchronization in Non Linear Interaction of Heart Rate and Systolic Blood Pressure in the Cardiovascular Control System/ 8. Filtering Time Series Using Point-Wise Dimension: Application to the Study of Electrocardiograms/ 9. Non Periodic Cycles in Italian Financial Market/ 10. Noninvertible Maps and Complex Basin Boundaries in Dynamic Economic Models with Coexisting Attractors/ 11. Phase-Portrait in Conversation-Processes/ 12. Option Pricing: A Straightforward Procedure/ 13. The Riemann Magneton of Primes/ 14. Self-Organized Power-Law Equilibrium Distributions in Structured Dynamical Systems/ 15. Climatic Memory/ 16. On the Complex Foundation of Ethics/ Index/
* This book presents new international research on artificial life, cellular automata, chaos theory, cognition, complexity theory, synchronization, fractals, genetic algorithms, information systems, metaphors, neural networks, non-linear dynamics, parallel computation and synergetics. The unifying feature of this research is the tie to chaos and complexity. *
Zhang, H. et al.
Controlling Chaos
Suppression, Synchronization and Chaotification
Springer-Verlag 2009.8
344 pp.(H)
ISBN 1-84882-522-6
18,000円
Contents
1.Overview/ 2.Preliminaries of Nonlinear Dynamics and Chaos/ 3.Entrainment and Migration Control of Chaotic Systems/ 4.Feedback Control of Chaotic Systems/ 5.Synchronizing Chaotic Systems Based on Feedback Control/ 6.Synchronizing Chaotic Systems via Impulsive Control/ 7.Synchronization of Chaotic Systems with Time Delay/ 8.Synchronizing Chaotic Systems Based on Fuzzy Models/ 9.Chaotification of Nonchaotic Systems/ Index/ *
Bolotin, Y. et al.
Chaos
Concepts, Control and Constructive Use
Springer-Verlag 2009.9
198 pp.(H)
ISBN 3-642-00936-0
16,600円
Contents
1.Introduction/ 2.Paradigm for Chaos/ 3.Main Features of Chaotic Systems/ 4.Reconstruction of Dynamical Systems/ 5.Controlling Chaos/ 6.Synchronization of Chaotic Systems/ 7.Stochastic Resonance/ 8.The Appearance of Regular Fluxes Without Gradients/ References/ Index/
* The study of chaotic behaviour in nonlinear, dynamical systems is now a well established research domain with ramifications into all fields of sciences, spanning a vast range of applications, from celestial mechanics, via climate change, to the functioning of brownian motors in cells. A more recent discovery is that chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter itself for the system under investigation, stochastic resonance being a prime example. *
Skiadas, C. H. et al. ed.
Topics on Chaotic Systems
Selected Papers from CHAOS 2008 International Conference
World Scientific Publishing Co.Pte. Ltd. 2009.9
436 pp.(H)
ISBN 981-4271-33-0
14,200円
Chania, Crete, Greece, 3 - 6 June 2008
Contents
1.The Effects of Machine Components on Bifurcation and Chaos as Applied to Multimachine System/ 2.Magic Angle Chaotic Precession/ 3.Chaotic Phenomena at Czech Capital Market / 4.A Novel Monolithic Integrated Optical Chaos Emitter: Experiment, Data Analysis and Numerical Predictions/ 5.A Note on Quantum Chaology and Gamma Approximations to Eigenvalue Spacings for Infinite Random Matrices/ 6.A Seven Mode Truncation of the Kolmogorov Flow with Drag: Analysis and Control/ 7.Chaotic Behavior of a Self-Replicating Robotic Population/ 8.Visualisation of Atmospheric Pressure Plasma Electrical Parameters/ 9.Analysing Time Series Using Symbolic Representations/ 10.Von Karman Streets Chaotic Simulation/ Index/
* This volume includes the best papers presented at the CHAOS 2008 International Conference on Chaotic Modeling, Simulation and Applications. It provides a valuable collection of new ideas, methods, and techniques in the field of nonlinear dynamics, chaos, fractals and their applications in general science and in engineering sciences. *
Schuster, H. G. ed.
Reviews of Nonlinear Dynamics and Complexity Vol.2
非線形力学と複雑性の概説 第２巻
Wiley-VCH 2009.6
258 pp.(H)
ISBN 3-527-40850-9
16,900円
Contents
1.Human Mobility and Spatial Disease Dynamics/ 2.Stochastic Evolutionary Game Dynamics/ 3.Dynamic and Topological Interplay in Adaptive Networks/ 4.Fractal Models of Earthquake Dynamics/ 5.Epilepsy/ 6.Structure in Networks/ Index/
* Adopting a cross-disciplinary approach, the review character of this monograph sets it apart from specialized journals. The editor is advised by a first-class board of international scientists, such that the carefully selected and invited contributions represent the latest and most relevant findings. The resulting review uses a common language and enables both researchers and newcomers in both natural and social science as well as engineering to access the most important results on the following topics:
・Epidemic Dynamics on Adaptive Networks
・Forecast and Control of Epidemics ・Community Detection in Networks
・Control of Excitable Media
・Caustics
・Evolution of Cooperation
・Econophysics *
370-50 登録日 09.09.16
