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.
