Abstract In this paper, we apply a simple adaptive feedback control scheme to synchronize two bi-directionally coupled chaotic systems. Based on the invariance principle of differential equations, sufficient conditions for the global asymptotic synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller are given. Unlike other control schemes for bi-directionally coupled systems, this scheme is very simple to implement in practice and need not consider coupling terms. As examples, the autonomous hyperchaotic Chen systems and the new non-autonomous 4D systems are illustrated. Numerical simulations show that the proposed method is effective and robust against the effect of weak noise.
Revised: 20 December 2006
Accepted manuscript online:
Fund: Project
supported by the National Natural Science Foundation of China (Grant
Nos 10472091, 10502042 and 10332030) and Graduate Starting Seed Fund
of Northwestern Polytechnical University (Grant No Z200655).
Cite this article:
Xiao Yu-Zhu(肖玉柱) and Xu Wei(徐伟) Complete synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller 2007 Chinese Physics 16 1597
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.
