Bifurcation and Chaos in the Presence of External Noise

Abstract

The present work investigates the influence of external non-white noise on some bifurcations of states of equilibrium, period-doubling bifurcation and on the dynamical chaos regimes. Lorenz system [1] and Anishchenko–Astakhov oscillator [2] are used as models. The peculiarities of the present investigation are in combination of numerical simulations with physical experiment and also in the use of cumulant analysis.