Project supported by the National Natural Science Foundation of China(Grant Nos10472091and10332030)
Stochastic period-doubling bifurcation is explored in a forced Duffing system with a bounded random parameter as an additional weak harmonic perturbation added to the system. Firstly, the biharmonic driven Duffing sys...
Project supported by the National Natural Science Foundation of China (Grant Nos 10472091 and 10332030)
With both additive and multiplicative noise excitations, the effect on the chaotic behaviour of the dynamical system is investigated in this paper. The random Melnikov theorem with the mean-square criterion that appli...