中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30502-030502.doi: 10.1088/1674-1056/22/3/030502
王参军a b, 杨科利a b, 屈世显a
Wang Can-Jun (王参军)a b, Yang Ke-Li (杨科利)a b, Qu Shi-Xian (屈世显)a
摘要: The effects of the Gaussian white noise and the Gaussian colored noise on the periodic orbits of period-5 (P-5) and period-6 (P-6) in their coexisting domain of a piecewise linear map are investigated numerically. The probability densities of some orbits are calculated. When the noise intensity is D=0.0001, only the orbits of P-5 exist, and the coexisting phenomenon is destroyed. On the other hand, the self-correlation time τ of the colored noise also affects the coexisting phenomenon. When τc<τ<τc', only the orbits of P-5 appear, and the stability of the orbits of P-5 is enhanced. However, when τ>τc' (τc and τc' are critical values), only the orbits of P-6 exist, and the stability of the orbits of P-6 is enhanced greatly. When τ<τc, the orbits of P-5 and P-6 coexist, but the stability of the orbits of P-5 is enhanced and that of P-6 is weakened with τ increasing.
中图分类号: (Noise)