Please wait a minute...
Chin. Phys. B, 2008, Vol. 17(2): 492-497    DOI: 10.1088/1674-1056/17/2/025
GENERAL Prev   Next  

Passive control and synchronization of hyperchaotic Chen system

Zhang Qun-Jiao(张群娇) and Lu Jun-An(陆君安)
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Abstract  This paper investigates the control and synchronization of hyperchaotic Chen system based on the passive theory. By using two outputs, novel passive controllers are respectively designed to realize the globally asymptotical stability of the hyperchaotic Chen system and the error dynamical system, which avoids mistakes in Ref.[11], where function $W(z)$ cannot guarantee that $f_0(z)$ is globally asymptotically stable via only one output and $W(z)$ is the Lyapunov function of $f_0(z)$. Furthermore, numerical simulations are given to show the effectiveness of our method.
Keywords:  hyperchaotic Chen system      passive control      stability      synchronization  
Received:  29 December 2006      Revised:  23 June 2007      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 60574045 and 70771084).

Cite this article: 

Zhang Qun-Jiao(张群娇) and Lu Jun-An(陆君安) Passive control and synchronization of hyperchaotic Chen system 2008 Chin. Phys. B 17 492

[1] Diffusive field coupling-induced synchronization between neural circuits under energy balance
Ya Wang(王亚), Guoping Sun(孙国平), and Guodong Ren(任国栋). Chin. Phys. B, 2023, 32(4): 040504.
[2] Continuous-wave optical enhancement cavity with 30-kW average power
Xing Liu(柳兴), Xin-Yi Lu(陆心怡), Huan Wang(王焕), Li-Xin Yan(颜立新), Ren-Kai Li(李任恺), Wen-Hui Huang(黄文会), Chuan-Xiang Tang(唐传祥), Ronic Chiche, and Fabian Zomer. Chin. Phys. B, 2023, 32(3): 034206.
[3] Modulational instability of a resonantly polariton condensate in discrete lattices
Wei Qi(漆伟), Xiao-Gang Guo(郭晓刚), Liang-Wei Dong(董亮伟), and Xiao-Fei Zhang(张晓斐). Chin. Phys. B, 2023, 32(3): 030502.
[4] Suppression of laser power error in a miniaturized atomic co-magnetometer based on split ratio optimization
Wei-Jia Zhang(张伟佳), Wen-Feng Fan(范文峰), Shi-Miao Fan(范时秒), and Wei Quan(全伟). Chin. Phys. B, 2023, 32(3): 030701.
[5] Hopf bifurcation and phase synchronization in memristor-coupled Hindmarsh-Rose and FitzHugh-Nagumo neurons with two time delays
Zhan-Hong Guo(郭展宏), Zhi-Jun Li(李志军), Meng-Jiao Wang(王梦蛟), and Ming-Lin Ma(马铭磷). Chin. Phys. B, 2023, 32(3): 038701.
[6] Improvement of coercivity thermal stability of sintered 2:17 SmCo permanent magnet by Nd doping
Chao-Zhong Wang(王朝中), Lei Liu(刘雷), Ying-Li Sun(孙颖莉), Jiang-Tao Zhao(赵江涛), Bo Zhou (周波), Si-Si Tu(涂思思), Chun-Guo Wang(王春国), Yong Ding(丁勇), and A-Ru Yan(闫阿儒). Chin. Phys. B, 2023, 32(2): 020704.
[7] Formation of nanobubbles generated by hydrate decomposition: A molecular dynamics study
Zilin Wang(王梓霖), Liang Yang(杨亮), Changsheng Liu(刘长生), and Shiwei Lin(林仕伟). Chin. Phys. B, 2023, 32(2): 023101.
[8] Ion migration in metal halide perovskite QLEDs and its inhibition
Yuhui Dong(董宇辉), Danni Yan(严丹妮), Shuai Yang(杨帅), Naiwei Wei(魏乃炜),Yousheng Zou(邹友生), and Haibo Zeng(曾海波). Chin. Phys. B, 2023, 32(1): 018507.
[9] Influence of coupling asymmetry on signal amplification in a three-node motif
Xiaoming Liang(梁晓明), Chao Fang(方超), Xiyun Zhang(张希昀), and Huaping Lü(吕华平). Chin. Phys. B, 2023, 32(1): 010504.
[10] Formation of quaternary all-d-metal Heusler alloy by Co doping fcc type Ni2MnV and mechanical grinding induced B2-fcc transformation
Lu Peng(彭璐), Qiangqiang Zhang(张强强), Na Wang(王娜), Zhonghao Xia(夏中昊), Yajiu Zhang(张亚九),Zhigang Wu(吴志刚), Enke Liu(刘恩克), and Zhuhong Liu(柳祝红). Chin. Phys. B, 2023, 32(1): 017102.
[11] Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability
Xiaodong Jiao(焦晓东), Mingfeng Yuan(袁明峰), Jin Tao(陶金), Hao Sun(孙昊), Qinglin Sun(孙青林), and Zengqiang Chen(陈增强). Chin. Phys. B, 2023, 32(1): 010507.
[12] Parametric decay instabilities of lower hybrid waves on CFETR
Taotao Zhou(周涛涛), Nong Xiang(项农), Chunyun Gan(甘春芸), Guozhang Jia(贾国章), and Jiale Chen(陈佳乐). Chin. Phys. B, 2022, 31(9): 095201.
[13] Power-law statistics of synchronous transition in inhibitory neuronal networks
Lei Tao(陶蕾) and Sheng-Jun Wang(王圣军). Chin. Phys. B, 2022, 31(8): 080505.
[14] Effect of astrocyte on synchronization of thermosensitive neuron-astrocyte minimum system
Yi-Xuan Shan(单仪萱), Hui-Lan Yang(杨惠兰), Hong-Bin Wang(王宏斌), Shuai Zhang(张帅), Ying Li(李颖), and Gui-Zhi Xu(徐桂芝). Chin. Phys. B, 2022, 31(8): 080507.
[15] Multi-target ranging using an optical reservoir computing approach in the laterally coupled semiconductor lasers with self-feedback
Dong-Zhou Zhong(钟东洲), Zhe Xu(徐喆), Ya-Lan Hu(胡亚兰), Ke-Ke Zhao(赵可可), Jin-Bo Zhang(张金波),Peng Hou(侯鹏), Wan-An Deng(邓万安), and Jiang-Tao Xi(习江涛). Chin. Phys. B, 2022, 31(7): 074205.
No Suggested Reading articles found!