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Noise destroys the coexisting of periodic orbits of a piecewise linear map |
| Wang Can-Jun (王参军)a b, Yang Ke-Li (杨科利)a b, Qu Shi-Xian (屈世显)a |
a Institute of Theoretical & Computational Physics, School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China;
b Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721016, China |
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Abstract 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.
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Received: 19 July 2012
Revised: 10 September 2012
Accepted manuscript online:
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PACS:
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05.40.Ca
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(Noise)
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05.45.Ac
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(Low-dimensional chaos)
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| Fund: 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), and the Science Foundation of Baoji University of Science and Arts of China (Grant No. ZK11053). |
Corresponding Authors:
Qu Shi-Xian
E-mail: sxqu@snnu.edu.cn
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Cite this article:
Wang Can-Jun (王参军), Yang Ke-Li (杨科利), Qu Shi-Xian (屈世显) Noise destroys the coexisting of periodic orbits of a piecewise linear map 2013 Chin. Phys. B 22 030502
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