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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Ruo-Qian Zhu,Long-Suo Li,Xin-Rong Cong,Yi-Xin Dou.Phase Effect in Controlling Non-autonomous Chaos in the Presence of Noise[J].Journal of Harbin Institute Of Technology(New Series),2013,20(4):48-51.DOI:10.11916/j.issn.1005-9113.2013.04.009.
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Phase Effect in Controlling Non-autonomous Chaos in the Presence of Noise
Author NameAffiliation
Ruo-Qian Zhu School of Management, Harbin University of Science and Technology, Harbin 150080, China 
Long-Suo Li Dept.of Mathematics, Harbin Institute of Technology, Harbin 150001, China 
Xin-Rong Cong Dept.of Mathematics, Harbin Institute of Technology, Harbin 150001, China 
Yi-Xin Dou Dept.of Astronautical Science and Mechanics, School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
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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