Noise destroys the coexistence of periodic orbits of a piecewise linear map  

作　　者：王参军 杨科利 屈世显 

机构地区：[1]Institute of Theoretical & Computational Physics,School of Physics and Information Technology,Shaanxi Normal University [2]Nonlinear Research Institute,Baoji University of Arts and Sciences

出　　处：《Chinese Physics B》2013年第3期205-208,共4页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 10875076);the Science Foundation of the Education Bureau of Shaanxi Province,China (Grant No. 12JK0962);the Science Foundation of Baoji University of Science and Arts of China (Grant No. ZK11053)

摘　　要：The effects of Gaussian white noise and 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 P-6 orbits is enhanced greatly.When τ〈τc,the orbits of P-5 and P-6 coexist,but the stability of the P-5 orbits is enhanced and that of P-6 is weakened with τ increasing.The effects of Gaussian white noise and 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 P-6 orbits is enhanced greatly.When τ〈τc,the orbits of P-5 and P-6 coexist,but the stability of the P-5 orbits is enhanced and that of P-6 is weakened with τ increasing.

关 键 词：piecewise linear map noise periodic orbit 

分 类 号：O422.6[理学—声学]