Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression

doi:10.1088/1674-1056/19/9/090504

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90504-090504.doi: 10.1088/1674-1056/19/9/090504

Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression

王兴元, 张娜

Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China

收稿日期:2010-03-09 修回日期:2010-03-25 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of Institution of Higher Education of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning P

Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression

Wang Xing-Yuan(王兴元)^† and Zhang Na(张娜)

Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China

Received:2010-03-09 Revised:2010-03-25 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of Institution of Higher Education of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165).

摘要/Abstract

摘要： Coupled map lattices are taken as examples to study the synchronisation of spatiotemporal chaotic systems. First, a generalised synchronisation of two coupled map lattices is realised through selecting an appropriate feedback function and appropriate range of feedback parameter. Based on this method we use the phase compression method to extend the range of the parameter. So, we integrate the feedback control method with the phase compression method to implement the generalised synchronisation and obtain an exact range of feedback parameter. This technique is simple to implement in practice. Numerical simulations show the effectiveness and the feasibility of the proposed program.

Abstract: Coupled map lattices are taken as examples to study the synchronisation of spatiotemporal chaotic systems. First, a generalised synchronisation of two coupled map lattices is realised through selecting an appropriate feedback function and appropriate range of feedback parameter. Based on this method we use the phase compression method to extend the range of the parameter. So, we integrate the feedback control method with the phase compression method to implement the generalised synchronisation and obtain an exact range of feedback parameter. This technique is simple to implement in practice. Numerical simulations show the effectiveness and the feasibility of the proposed program.

Key words: coupled map lattice, generalised synchronisation, feedback control, phase compression

中图分类号:

0545

王兴元, 张娜. Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression[J]. 中国物理B, 2010, 19(9): 90504-090504.

Wang Xing-Yuan(王兴元) and Zhang Na(张娜). Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression[J]. Chin. Phys. B, 2010, 19(9): 90504-090504.

参考文献 17

[1]	Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
[2]	Carroll T L and Pecora L M 1991 IEEE Trans. on Circuits Systems 38 453
[3]	Guo H J, Yin Y W and Wang H M 2008 Chin. Phys. B 17 1652
[4]	Qi W and Wang Y H 2009 Chin. Phys. B 18 1404
[5]	Wang X Y, Gulzila A and Wang M J 2008 J. Dyn. Control 6 40
[6]	Zhang H G, Ma D Z, Wang Z S and Feng J 2010 Acta. Phys. Sin. bf 59 147 (in Chinese)
[7]	Kapral R 1985 Phys. Rev. A 31 3868
[8]	Jiang Y 1998 Phys. Lett. A 240 60
[9]	Xie F G and Hu G 1996 Phys. Rev. E 53 4439
[10]	Yin X H, Ren Y and Shan X M 2002 Chaos, Solitons and Fractals 14 1077
[11]	Xue Y J and Yang S Y 2003 Chaos, Solitons and Fractals 17 967
[12]	Alexander A and Uzrich P 2008 Phys. Rev. E 77 016201
[13]	Gong X F, Chen H and Li F L 1998 Phys. Lett. A 237 217
[14]	Liu Z H, Chen S G and Hu B 1999 Phys. Rev. E 59 2817
[15]	L"u L, Li G and Chai Y 2008 Acta. Phys. Sin. 57 7517 (in Chinese)
[16]	Kaneko K 1985 Prog. Theor. Phys. 74 1033
[17]	Li Y and Zhang X 2006 Phys. Lett. A 357 209

Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression

Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 17

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	闫华, 魏平, 肖先赐. Tangent response in coupled dynamical systems[J]. 中国物理B, 2010, 19(9): 90501-090501.
[2]	马铁东, 浮洁, 孙跃. An improved impulsive control approach to robust lag synchronization between two different chaotic systems[J]. 中国物理B, 2010, 19(9): 90502-090502.
[3]	周平, 程元明, 邝菲. Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)[J]. 中国物理B, 2010, 19(9): 90503-090503.
[4]	王福来. A universal algorithm to generate pseudo-random numbers based on uniform mapping as homeomorphism[J]. 中国物理B, 2010, 19(9): 90505-090505.
[5]	刘兆冰, 张化光, 孙秋野. Novel pinning control strategies for synchronisation of complex networks with nonlinear coupling dynamics[J]. 中国物理B, 2010, 19(9): 90506-090506.
[6]	张晓明, 陈菊芳, 彭建华. Theoretical and experimental study of Chen chaotic system with notch filter feedback control[J]. 中国物理B, 2010, 19(9): 90507-090507.
[7]	周茜, 陈增强. Low dimensional chaos in the AT and GC skew profiles of DNA sequences[J]. 中国物理B, 2010, 19(9): 90508-090508.
[8]	Lu Jun-Guo. Another anticontrol method of chaos in the sense of Devaney from a Takagi–Sugeno fuzzy system via the overflow nonlinearity[J]. 中国物理B, 2005, 14(6): 1082-1087.
[9]	窦春霞, 张淑清. H_∞ tracking control of coupled spatiotemporal chaos with parametric uncertainties based on fuzzy observers　　　　　　[J]. 中国物理B, 2005, 14(5): 902-907.
[10]	高心, 虞厥邦. Chaos and chaotic control in a fractional-order electronic oscillator　　　　　[J]. 中国物理B, 2005, 14(5): 908-913.
[11]	禹东川, 吴爱国, 杨朝萍. A novel sliding mode nonlinear proportional-integral control scheme for controlling chaos　　　[J]. 中国物理B, 2005, 14(5): 914-921.
[12]	崔万照, 朱长纯, 保文星, 刘君华. Chaotic time series prediction using mean-field theory for support vector machine　　　　[J]. 中国物理B, 2005, 14(5): 922-929.
[13]	张家树, 李恒超, 肖先赐. Local discrete cosine transformation domain Volterra prediction of chaotic time series[J]. 中国物理B, 2005, 14(1): 49-54.
[14]	王世红, 刘维清, 马宝军, 肖井华, 蒋达娅. Phase synchronization of Chua circuit induced by the periodic signals[J]. 中国物理B, 2005, 14(1): 55-60.
[15]	周宇飞, C.K.Tse, 丘水生, 陈军宁. An improved resonant parametric perturbation for chaos control with applications to control of DC/DC converters[J]. 中国物理B, 2005, 14(1): 61-66.