Nonlinear Dynamics : Integrability, Chaos and Patterns /
Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, m...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint : Springer,
2003.
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| Series: | Advanced texts in physics.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- What is Nonlinearity?- Linear and Nonlinear Oscillators
- Qualitative Features
- Bifurcations and Onset of Chaos in Dissipative Systems
- Chaos in Dissipative Nonlinear Oscillators and Criteria for Chaos
- Chaos in Nonlinear Electronic Circuits
- Chaos in Conservative Systems
- Characterization of Regular and Chaotic Motions
- Further Developments in Chaotic Dynamics
- Finite Dimensional Integrable Nonlinear Dynamical Systems
- Linear and Nonlinear Dispersive Waves
- Korteweg-De Vries Equation and Solitons
- Basic Soliton Theory of KdV Equation
- Other Ubiquitous Soliton Equations
- Spatio-Temporal Patterns
- Nonlinear Dynamics: From Theory to Technology
- Appendices.