Deterministic nonlinear systems : a short course

Author(s)

• Anishchenko, V. S. (Vadim Semenovich)
• Vadivasova, Tatyana E.
• Strelkova, Galina I.

Bibliographic Information

Deterministic nonlinear systems : a short course

Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova

（Springer series in synergetics）

Springer, c2014

Note

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

Preface.- Part I Dynamical Systems.- Stability of Dynamical Systems.- Linear Approach.- Bifurcations of Dynamical Systems.- Dynamical Systems With One Degree of Freedom.- Systems with Phase Space Dimension N>3, Deterministic Chaos.- From Order to Chaos: Bifurcation Scenarios.- Part II From Order to Chaos: Bifurcation Scenarios.- Robust and Nonrobust Dynamical Systems. Classification of Attractor Types.- Characteristics of Poincare Recurrences.- Fractals in Nonlinear Dynamics.- Anishchenko - Astakhov Oscillator of Chaotic Self-sustained Oscillations.- Oscillator of Two-Frequency Quasiperiodic Oscillations.- Synchronization of Periodic Self-sustained Oscillations.- Synchronization of Two-frequency Self-sustained Oscillations.- Synchronization of Chaotic Oscillations.- Recommended Literature.

by "Nielsen BookData"

Details

• NCID: BB16200098
• ISBN:
  • 9783319068701
• LCCN: 2014942075
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cham
• Pages/Volumes: xiv, 294 p.
• Size: 25 cm
• Classification:
  • DC23 : 003.75
• Subject Headings:
  • LCSH : Nonlinear systems
  • LCSH : Differentiable dynamical systems
• Parent Bibliography ID:
  • BA00004912