Authors: ChunBiao Gan ShiXi Yang Hua Lei
Publish Date: 2012/09/16
Volume: 28, Issue: 5, Pages: 1416-1423
Abstract
We investigate a kind of noiseinduced transition to noisy chaos in dynamical systems Due to similar phenomenological structures of stable hyperbolic attractors excited by various physical realizations from a given stationary random process a specific Poincaré map is established for stochastically perturbed quasiHamiltonian system Based on this kind of map various point sets in the Poincaré’s crosssection and dynamical transitions can be analyzed Results from the customary Duffing oscillator show that the point sets in the Poincaré’s global crosssection will be highly compressed in one direction and extend slowly along the deterministic perioddoubling bifurcation trail in another direction when the strength of the harmonic excitation is fixed while the strength of the stochastic excitation is slowly increased This kind of transition is called the noiseinduced pointoverspreading route to noisy chaos
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