【摘 要】
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Stochastic period-doubling bifurcation is explored in a forced Duiting system with a bounded random parameter as an additional weak harmonic perturbation added
【机 构】
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Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China
论文部分内容阅读
Stochastic period-doubling bifurcation is explored in a forced Duiting system with a bounded random parameter as an additional weak harmonic perturbation added to the system. Firstly, the biharmonic driven Duffing system with a random parameter is reduced to its equivalent deterministic one, and then the responses of the stochastic system can be obtained by available effective numerical methods. Finally, numerical simulations show that the phase of the additional weak harmonic perturbation has great influence on the stochastic period-doubling bifurcation in the biharmonic driven Duffing system. It is emphasized that, different from the deterministic biharmonic driven Duffing system, the intensity of random parameter in the Duffing system can also be taken as a bifurcation parameter, which can lead to the stochastic period-doubling bifurcations.
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