Effects of Colored Noise on Periodic Orbits in a One-Dimensional Map

噪音能导致反的加倍时期的转变和混乱。在逻辑地图的不同周期的序列，周期的轨道上的有颜色的噪音的效果被调查。这被发现轨道的动态行为，由指数地相关的有颜色的噪音导致了，在他们的动态行为上的噪音紧张的转变，和效果的合并是不同的与噪音的关联时间的效果不同。显著地，也就是，噪音能导致新周期的轨道二条新轨道出现在时期--在分叉参数值=的四个序列 3.5 ，在时期的四条新轨道--在=的八个序列 3.55 ，并且在时期的三条新轨道--在=的六个序列 3.846 分别地。而且，新轨道的动态行为清楚地显示出 resonancelike 反应到有颜色的噪音。

Noise can induce inverse period-doubling transition and chaos. The effects of the colored noise on periodic orbits, of the different periodic sequences in the logistic map, are investigated. It is found that the dynamical behaviors of the orbits, induced by an exponentially correlated colored noise, are different in the mergence of transition, and the effects of the noise intensity on their dynamical behaviors are different from the effects of the correlation time of noise. Remarkably, the noise can induce new periodic orbits, namely, two new orbits emerge in the period-four sequence at the bifurcation parameter value μ = 3.5, four new orbits in the period-eight sequence at μ= 3.55, and three new orbits in the period-six sequence at μ = 3.846, respectively. Moreover, the dynamical behaviors of the new orbits clearly show the resonancelike response to the colored noise.