Generalized projective synchronization of a class of chaotic (hyperchaotic) systems with uncertain parameters
Jia Zhen(贾贞)a)b)†, Lu Jun-An(陆君安)b), Deng Guang-Ming(邓光明)a), and Zhang Qun-Jiao(张群娇)b)
a Department of Mathematics and Physics, Guilin University of Technology, Guilin 541004, China; b School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Abstract In this paper is investigated the generalized projective synchronization of a class of chaotic (or hyperchaotic) systems, in which certain parameters can be separated from uncertain parameters. Based on the adaptive technique, the globally generalized projective synchronization of two identical chaotic (hyperchaotic) systems is achieved by designing a novel nonlinear controller. Furthermore, the parameter identification is realized simultaneously. A sufficient condition for the globally projective synchronization is obtained. Finally, by taking the hyperchaotic Lü system as example, some numerical simulations are provided to demonstrate the effectiveness and feasibility of the proposed technique.
Received: 05 August 2006
Revised: 07 November 2006
Accepted manuscript online:
Fund: Project supported
by the National Natural Science Foundation of China (Grant No
60574045) and partly by Foundation of Guangxi Department of
Education, China (Grant No (2006)26-118).
Cite this article:
Jia Zhen(贾贞), Lu Jun-An(陆君安), Deng Guang-Ming(邓光明), and Zhang Qun-Jiao(张群娇) Generalized projective synchronization of a class of chaotic (hyperchaotic) systems with uncertain parameters 2007 Chinese Physics 16 1246
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.
