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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Bibliographic Details
Main Author: Lakshmanan, M.
Corporate Author: SpringerLink (Online service)
Other Authors: Rajasekar, S.
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint : Springer, 2003.
Series:Advanced texts in physics.
Subjects:
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.