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CHAOS IN SYSTEMS WITH NOISE

by T Kapitaniak (Lodz, Poland)

The influence of random noise on the chaotic behaviour of nonlinear system is investigated. Methods which enable chaotic behaviour in noisy systems to be determined are presented.


Contents:

  • Introduction — Chaotic and Stochastic Processes and Their Kolmogorov Entropy
  • Noisy Dynamics Systems
  • Fokker-Planck-Kolmogorov Equation
  • Multi-Maxima Probability Density Functions
  • Chaotic and Regular Stochastic Processes
  • Poincare Maps for Noisy Systems
  • Random Lyapunov Exponents
  • Examples: A Simple Mechanical System with Stress Relaxation
  • Non-Linear Oscillator with Quasi-Periodic Excitation
  • Chaotic Oscillations of the Buckled Beam
  • Noisy Chaotic Movement of a Simple Mechanical Machine
  • Stochastic Sensitivity Functions and Chaos
  • Noisy Routes to Chaos
  • References


Readership: Solid state physicists and applied physicists.

140pp Pub. date: Mar 1988
ISBN 9971-50-542-8 US$35 / £24


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 4 July 2008