中国物理B ›› 2008, Vol. 17 ›› Issue (6): 2004-2009.doi: 10.1088/1674-1056/17/6/012

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Study on phase synchronization of stochastic chaotic system

杨晓丽1, 徐伟2   

  1. (1)College of Mathematics and Information Science, Shanxi Normal University, Xi'an 710062, China;Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China ; (2)Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • 收稿日期:2007-08-24 修回日期:2007-10-19 出版日期:2008-06-20 发布日期:2008-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10726042) and Youth Science Foundation of Shanxi Normal University.

Study on phase synchronization of stochastic chaotic system

Yang Xiao-Li(杨晓丽)a)b)† and Xu Wei(徐伟)b)   

  1. a College of Mathematics and Information Science, Shanxi Normal University, Xi'an 710062, China; b Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2007-08-24 Revised:2007-10-19 Online:2008-06-20 Published:2008-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10726042) and Youth Science Foundation of Shanxi Normal University.

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摘要： This paper detects and characterizes the diverse roles played by bounded noise in chaotic phase synchronization (CPS) of weakly coupled nonlinear stochastic systems. Analysis of a paradigmatic model of two bidirectional coupled three-level food chains is carried out by various statistical measures such as Shannon entropy and mutual information. The results indicate that inside the synchronous regime, CPS is considerably reduced under the influence of bounded noise; near the onset of phase synchronization, temporal phase locking is diversely changed with the increase of noise, i.e., either weak or strong noise also degrades the degree of CPS, while intermediate noise enhances CPS remarkably, and an optimal noise intensity is detected that maximizes the enhancement.

关键词: chaotic phase synchronization, coupling, bounded noise

Abstract: This paper detects and characterizes the diverse roles played by bounded noise in chaotic phase synchronization (CPS) of weakly coupled nonlinear stochastic systems. Analysis of a paradigmatic model of two bidirectional coupled three-level food chains is carried out by various statistical measures such as Shannon entropy and mutual information. The results indicate that inside the synchronous regime, CPS is considerably reduced under the influence of bounded noise; near the onset of phase synchronization, temporal phase locking is diversely changed with the increase of noise, i.e., either weak or strong noise also degrades the degree of CPS, while intermediate noise enhances CPS remarkably, and an optimal noise intensity is detected that maximizes the enhancement.

Key words: chaotic phase synchronization, coupling, bounded noise

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
02.50.Ey (Stochastic processes) 05.40.Ca (Noise)