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Function projective synchronization of discrete-time chaotic systems
Li, Xin1,2,4; Chen, Yong1,2,3,4; Li, Zhibin3,4
2008
发表期刊ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN0932-0784
卷号63期号:1-2页码:7-14
摘要First, a function projective synchronization is defined in discrete-time dynamical systems, in which the drive and response state vectors evolve in a proportional scaling function matrix. Second, based on backstepping design with three controllers, a systematic, concrete and automatic scheme is developed to investigate the function projective synchronization of discrete-time chaotic systems. With the aid of symbolic-numeric computation, we use the proposed scheme to illustrate the function projective synchronization between the 2D Lorenz discrete-time system and the Fold discrete-time system, as well as between the 3D hyperchaotic Rossler discrete-time system and the Henon-like map. Numeric simulations are used to verify the effectiveness of our scheme. By choosing different scaling functions, the interesting attractor figures of the drive and response systems are showed in a proportional scaling function.
关键词function projective synchronization backstepping design discrete-time chaotic system
语种英语
WOS研究方向Chemistry ; Physics
WOS类目Chemistry, Physical ; Physics, Multidisciplinary
WOS记录号WOS:000254301600002
出版者VERLAG Z NATURFORSCH
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/6302
专题中国科学院数学与系统科学研究院
通讯作者Chen, Yong
作者单位1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China
2.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China
3.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China
4.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
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GB/T 7714
Li, Xin,Chen, Yong,Li, Zhibin. Function projective synchronization of discrete-time chaotic systems[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2008,63(1-2):7-14.
APA Li, Xin,Chen, Yong,&Li, Zhibin.(2008).Function projective synchronization of discrete-time chaotic systems.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,63(1-2),7-14.
MLA Li, Xin,et al."Function projective synchronization of discrete-time chaotic systems".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 63.1-2(2008):7-14.
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