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© 2014

Deterministic Nonlinear Systems

A Short Course

  • Authored by leading researchers in the field

  • Concise introduction and presentation, suitable as textbook and as self-study guide

  • Particular emphasis on systems with self-sustained oscillations and synchronization

Textbook

Part of the Springer Series in Synergetics book series (SSSYN)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 1-22
  3. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 23-35
  4. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 37-52
  5. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 53-73
  6. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 75-92
  7. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 93-105
  8. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 107-122
  9. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 123-143
  10. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 145-156
  11. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 157-173
  12. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 175-201
  13. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 203-215
  14. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 217-243
  15. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 245-271
  16. Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
    Pages 273-294

About this book

Introduction

This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. 

This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.

Keywords

Anishchenko-Astakhov Oscillator Deterministic Chaos Theory Nonlinear Dynamics Textbook Oscillations and Synchronization in Complex Systems Poincare Recurrences Stability and Bifurcations in Nonlinear Dynamical Systems

Authors and affiliations

  1. 1.Department of PhysicsSaratov State University Instiute of Nonlinear DynamicsSaratovRussia
  2. 2.Department of PhysicsSaratov State University Institute of Nonlinear DynamicsSaratovRussia
  3. 3.Department of PhysicsSaratov State University Institute of Nonlinear DynamicsSaratovRussia

About the authors

Prof. Dr. Vadim S. Anishchenko is Head of Radiophysics and Nonlinear Dynamics Chair and the scientific supervisor of the Laboratory of Nonlinear Dynamics of Saratov State University. He is a specialist in the field of theory of oscillations, statistical radiophysics and nonlinear dynamics and the author of seven scientific monographs, three text-books and of more than 200 journal articles.

Prof. Anishchenko is an Honored Man of Sciences of Russia, a corresponding member of Russian Academy of Natural Sciences, and Soros Professor. In 1999 he was elected the recipient of a Humboldt Research Award.

Bibliographic information