Overview

As in the first edition, the influence of random noise on the chaotic behavior of dissipative dynamical systems is investigated. Problems are illustrated by mechanical examples. This revised and updated edition contains new sections on the summary of probability theory, homoclinic chaos, Melnikov method, routes to chaos, stabilization of period-doubling, and Hopf bifurcation by noise. Some chapters have been rewritten and new examples have been added.Contents: Probability Theory Brief SummaryChaotic and Stochastic ProcessesNoisy Dynamical SystemsFokker Planck Kolmogorov EquationMulti-Maxima Probability Density FunctionsRandom Lyapunov ExponentsPoincare Maps for Noisy SystemsRegular and Chaotic Stochastic ProcessesStochastic Sensitivity Functions and ChaosHomoclinic Chaos Perturbated by NoiseExamplesNoisy Routes to ChaosReferencesReadership: Solid state physicists, applied mathematicians and research engineers.

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9781299673236

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