The effects of stochastic excitation on the period-doubling bifurcation and chaotic motions of the softening Duffing oscillator, are discussed in detail. 摘要讨论了有界噪声激励对软弹簧杜芬振子的倍周期分岔至混沌运动的影响。
Neimark-R.J.Sacker bifurcation and period-doubling bifurcation existed under certain parameters, which will evolve to chaos and hyperchaos with the variation of the parameters. 研究发现系统在一定参数条件下存在内衣马克一沙克分岔和倍周期分岔，随着参数的变化系统演化为混沌和超混沌。
