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 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…
Machine generated contents note 1 Problems with Lorenz's Modeling and the Algorithm of Chaos Doctrine Y. Lin -- 1.1 Introduction -- 1.2 Lorenz's Modeling and Problems of the Model -- 1.3 Computational Schemes and What Lorenz's Chaos Is -- 1.4 Discussion -- 1.5 Appendix: Another …
1. Poincare map technique, smale horseshoe, and symbolic dynamics. 1.1. Poincare and generalized Poincare mappings. 1.2. Interval methods for calculating Poincare mappings. 1.3. Smale horsehoe. 1.4. Symbolic dynamics. 1.5. Exercises -- 2. Robustness of chaos. 2.1. Strange attrac…
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contain…