Study on phase synchronization of stochastic chaotic system
Yang Xiao-Li(杨晓丽)a)b)† and Xu Wei(徐伟)b)
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
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.
Received: 24 August 2007
Revised: 19 October 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10726042) and Youth
Science Foundation of Shanxi Normal University.
Cite this article:
Yang Xiao-Li(杨晓丽) and Xu Wei(徐伟) Study on phase synchronization of stochastic chaotic system 2008 Chin. Phys. B 17 2004
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
