Synchronization rate of synchronized coupled systems

Xiaohua Xiong, Shangnan Hong, Junwei Wang and Dengwen Gan

Physica A: Statistical Mechanics and its Applications, 2007, vol. 385, issue 2, 689-699

Abstract: Synchronization phenomena, an emergent property in networks of interacting dynamical elements, are widely observed in nature, and have become the subject of intense research. Here we will investigate the synchronization rate problem in coupled limit-cycle and chaotic oscillators. Based on the mode decomposition method and Gershgörin's discs theorem, some sufficient conditions for synchronization of coupled systems are obtained, and a synchronization rate is then derived. Such a synchronization rate indicates that the error functions between state variables of underlying individual systems tend to zero in the exponential form as time tends to the infinity. Several numerical examples are also given to validate the theoretical results.

Keywords: Synchronization rate; Limit cycle; Chaotic attractor; Floquet multipliers (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:385:y:2007:i:2:p:689-699

DOI: 10.1016/j.physa.2007.07.003

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