Noise-induced Chaotic Bifurcations of Random Attractors

Abstract

Noise-induced chaotic bifurcations of random attractors arising in a Duffing oscillator with harmonic and random excitations are investigated. We first follow the standard pullback procedure to obtain random invariant measures and then intuitively construct Poincaré maps of them. The results on the stability and fractal analysis show that the noise-induced chaotic behavior which is not strange is generated from strange but non-chaotic invariant measures.