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Nonlinear Dynamics

Integrability, Chaos and Patterns

  • M. Lakshmanan
  • S. Rajasekar

Part of the Advanced Texts in Physics book series (ADTP)

Table of contents

  1. Front Matter
    Pages I-XX
  2. M. Lakshmanan, S. Rajasekar
    Pages 1-15
  3. M. Lakshmanan, S. Rajasekar
    Pages 17-30
  4. M. Lakshmanan, S. Rajasekar
    Pages 31-74
  5. M. Lakshmanan, S. Rajasekar
    Pages 75-121
  6. M. Lakshmanan, S. Rajasekar
    Pages 123-158
  7. M. Lakshmanan, S. Rajasekar
    Pages 159-189
  8. M. Lakshmanan, S. Rajasekar
    Pages 191-234
  9. M. Lakshmanan, S. Rajasekar
    Pages 235-258
  10. M. Lakshmanan, S. Rajasekar
    Pages 259-293
  11. M. Lakshmanan, S. Rajasekar
    Pages 295-340
  12. M. Lakshmanan, S. Rajasekar
    Pages 341-357
  13. M. Lakshmanan, S. Rajasekar
    Pages 359-380
  14. M. Lakshmanan, S. Rajasekar
    Pages 381-405
  15. M. Lakshmanan, S. Rajasekar
    Pages 407-454
  16. M. Lakshmanan, S. Rajasekar
    Pages 455-495
  17. M. Lakshmanan, S. Rajasekar
    Pages 497-521
  18. Back Matter
    Pages 523-619

About this book

Introduction

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.

Keywords

Analysis Chaos Potential Schrödinger equation Soliton construction direct scattering problem inverse scattering problem linear optimization linearity nonlinear dynamics

Authors and affiliations

  • M. Lakshmanan
    • 1
  • S. Rajasekar
    • 2
  1. 1.Department of Physics and Center for Nonlinear DynamicsBharathidasan UniversityTiruchirapalliIndia
  2. 2.Department of PhysicsManonmaniam Sundaranar UniversityTirunelveliIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-55688-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-62872-6
  • Online ISBN 978-3-642-55688-3
  • Series Print ISSN 1439-2674
  • Buy this book on publisher's site