Deterministic Nonlinear Systems A Short Course /

Deterministic Nonlinear Systems A Short Course /

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...

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Bibliographic Details
Published in:Springer eBooks
Main Authors: Anishchenko, Vadim S. (Author), Vadivasova, Tatyana E. (Author), Strelkova, Galina I. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Series:Springer Series in Synergetics,
Subjects:
physics.
Vibration.
Physics.
Nonlinear Dynamics.
Classical Continuum Physics.
Vibration, Dynamical Systems, Control.
Mathematical Applications in the Physical Sciences.
Online Access:http://dx.doi.org/10.1007/978-3-319-06871-8
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Table of Contents:
  • From the Contents: Part I Dynamical Systems
  • Stability of Dynamical Systems
  • Linear Approach
  • Bifurcations of Dynamical Systems
  • Dynamical Systems With One Degree of Freedom
  • 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
  • The Anishchenko-Astakhov Oscillator of Chaotic Self-Sustained Oscillations
  • Quasiperiodic Oscillator with Two Independent Frequencies
  • Synchronization of Periodic Self-Sustained Oscillations
  • Synchronization of Two-Frequency Self-Sustained Oscillations.-Synchronization of Chaotic Oscillations
  • References.

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