Nonlinear Dynamics
Subtitle: Integrability, Chaos and Patterns
By: by M. Lakshmanan, S. Rajasekar
Contributors: Rajasekar, S.
Series: Advanced Texts in Physics, 1439-2674; Advanced texts in physics
Publisher: Springer Berlin Heidelberg; Imprint; Springer
Published: 2003
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 619
ISBN-13: 9783642556883
Description: 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, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.
Table of contents: title: What is Nonlinearity?- Linear and Nonlinear Oscillators; title: Qualitative Features; title: Bifurcations and Onset of Chaos in Dissipative Systems; title: Chaos in Dissipative Nonlinear Oscillators and Criteria for Chaos; title: Chaos in Nonlinear Electronic Circuits; title: Chaos in Conservative Systems; title: Characterization of Regular and Chaotic Motions; title: Further Developments in Chaotic Dynamics; title: Finite Dimensional Integrable Nonlinear Dynamical Systems; title: Linear and Nonlinear Dispersive Waves; title: Korteweg-De Vries Equation and Solitons; title: Basic Soliton Theory of KdV Equation; title: Other Ubiquitous Soliton Equations; title: Spatio-Temporal Patterns; title: Nonlinear Dynamics: From Theory to Technology; title: Appendices.