非線形振動系におけるノイズに起因したカオス的挙動について : ランダム不変測度の分岐(機会力学,計測,自動制御)

抄録

Noise-induced chaotic bifurcations of random attractors arising in a Duffing oscillator and a parametrically exited pendulum with noisy harmonic excitations are investigated. We first follow the standard pullback procedure to obtain random invariant measures and then intuitively construct Poincare 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.