Phase Effect in Controlling Non-autonomous Chaos in the Presence of Noise
Ruo-Qian Zhu1, Long-Suo Li2, Xin-Rong Cong2, Yi-Xin Dou3,4
(1.School of Management, Harbin University of Science and Technology, Harbin 150080, China; 2.Dept. of Mathematics, Harbin Institute of Technology, Harbin 150001, China;3. Dept. of Astronautical Science and Mechanics, School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;4. School of Finance, Harbin University of Commerce, Harbin 150028, China)
Abstract:
The effect of random phase on the Josephson junction system dynamic model is investigated. It is shown that random phase has the suppressing ability for controlling chaos. The top Lyapunov exponent is used to detect the chaotic dynamics in the system, and the method for calculating the top Lyapunov exponent is based on Khasminskii’s spherical coordinate formulation for linear stochastic systems. In addition, Poincaré map, phase portraits and time evolution are investigated to verify the obtained results. It is found that these results have the excellent agreement.
Key words: chaos control, random phase, Gauss white noise
DOI：10.11916/j.issn.1005-9113.2013.04.009
Clc Number:O23
Fund:
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Phase Effect in Controlling Non-autonomous Chaos in the Presence of Noise
本站小编 哈尔滨工业大学/2019-10-24
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