Frontiers in the study of chaotic dynamical systems with open problems
by Sprott, Julien Clinton Zeraoulia, Elhadj
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 th…
Read More ↓Title Statements
- Full title :Frontiers in the study of chaotic dynamical systems with open problems / edited by Elhadj Zeraoulia, Julien Clinton Sprott.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Hackensack, N.J
- Language:eng
- Publication Date:2011.
Notes
Description based upon print version of record.
The Physical Object
- Description:1 online resource (268 p.).
Edition Identifiers
- ISBN:1283234955, 9781283234955, 9786613234957, 6613234958, 9814340707, 9789814340700
- oclc:on1162012022
- LC Classification:QA614.8
- Dewey Decimal:003.857
Table of Contents
Preface; Contents; Chapter 1 Problems with Lorenz's Modeling and the Algorithm of Chaos Doctrine; 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 Way to Show that Chaos Theory Suffers From Flaws; References; Chapter 2 Nonexistence of Chaotic Solutions of Nonlinear Differential Equations; 2.1. Introduction; 2.2. Open Problems About Nonexistence of Chaotic Solutions; References; Chapter 3 Some Open Problems in the Dynamics of Quadratic and Higher Degree Polynomial ODE Systems
3.1. First Open Problem3.2. Second Open Problem; 3.3. Third Open Problem; 3.4. Fourth Open Problem; 3.5. Fifth Open Problem; 3.6. Sixth Open Problem; References; Chapter 4 On Chaotic and Hyperchaotic Complex Nonlinear Dynamical Systems; 4.1. Introduction; 4.2. Examples; 4.2.1. Dynamical Properties of Chaotic Complex Chen System; 4.2.2. Hyperchaotic Complex Lorenz Systems; 4.3. Open Problems; 4.4. Conclusions; References; Chapter 5 On the Study of Chaotic Systems with Non-Horseshoe Template; 5.1. Introduction; 5.2. Formulation; 5.3. Topological Analysis and Its Invariants
5.4. Application to Circ…
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