Order Now from World Scientific
 Buy from World Scientific
Buy from Amazon.com
Buy from Barnes & Noble
World Scientific, 2011 · 268 pages
World Scientific Series on Nonlinear Science, Series B, Vol. 16
ISBN 978-981-4340-69-4 (hardcover)
ISBN 978-981-4460-79-8 (ebook)
Thirteen review articles by leading experts on the open questions in chaotic dynamics
Both discrete and continuous-time systems, experiment and theory
From Lorenz's modeling and gene networks to open billiards and network synchronization
Sets an agenda for future research in a challenging field
|
Frontiers in the Study of Chaotic Dynamical Systems with Open Problems
Edited by Elhadj Zeraoulia and J. C. Sprott
Emeritus Professor of Physics, University of Wisconsin–Madison
About the Book
This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject.
This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state of the art of the more advanced studies of chaotic dynamical systems, this book is devoted to setting an agenda for future research in this exciting and challenging field.
Contents
1. Problems with Lorenz's Modeling and the Algorithm of Chaos Doctrine (S. OuYang & Y. Lin)
2. Nonexistence of Chaotic Solutions of Nonlinear Differential Equations (L. S. Yao)
3. Some Open Problems in the Dynamics of Quadratic and Higher Degree Polynomial ODE Systems (F. Zhang & J. Heidel)
4. On Chaotic and Hyperchaotic Complex Nonlinear Dynamical Systems (G. M. Mahmoud)
5. On the Study of Chaotic Systems with Non-Horseshoe Template (A. Ray et al.)
6. Instability of Solutions of Fourth and Fifth Order Delay Differential Equations (C. Tunç)
7. Some Conjectures About the Synchronizability and the Topology of Networks (A. Caneco et al.)
8. Wavelet Study of Dynamical Systems Using Partial Differential Equations (E. B. Postnikov)
9. Combining the Dynamics of Discrete Dynamical Systems (J. S. Cánovas)
10. Code Structure for Pairs of Linear Maps with Some Open Problems (P. Troshin)
11. Recent Advances in Open Billiards with Some Open Problems (C. P. Dettmann)
12. Open Problems in the Dynamics of the Expression of Gene Interaction Networks (L. S. Liebovitch & V. Naudot)
13. How to Transform a Type of Chaos in Dynamical Systems? (E. Zeraoulia & J. C. Sprott)
|