Please wait a minute...
Chinese Physics, 2005, Vol. 14(1): 86-94    DOI: 10.1088/1009-1963/14/1/017
GENERAL Prev   Next  

Generalized synchronization of hyperchaos and chaos using active backstepping design

Zhang Hao (张浩)a, Ma Xi-Kui (马西奎)ab, Yang Yu (杨宇)a, Xu Cui-Dong (徐翠东)a 
a School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China; b Key Laboratory of High Voltage Engineering and Electrical New Technology under the State Ministry of Education, Chongqing University, Chongqing 400044, China
Abstract  A novel active backstepping control method is presented for synchronizing two identical R?ssler hyperchaotic systems with each other, and extended to achieve the generalized synchronization of the Chua chaotic system with the R?ssler hyperchaotic system. It is a systematic design approach and consists of a recursive procedure interlacing the choice of a Lyapunov function with the design of active control. In particular, this technique gives flexibility in constructing a control law.Numerical experiments verify the feasibility and effectiveness of the proposed control technique.
Keywords:  generalized synchronization      hyperchaos      chaos      active backstepping design  
Received:  27 April 2004      Revised:  30 June 2004      Accepted manuscript online: 
PACS:  0545  
  4265  
  4660D  
Fund: Project supported in part by the Doctoral Foundation of Xi'an Jiaotong University, China (Grant NoDFXJTU2003-7) and by Visiting Scholar Foundation of Key Laboratory in University, China

Cite this article: 

Zhang Hao (张浩), Ma Xi-Kui (马西奎), Yang Yu (杨宇), Xu Cui-Dong (徐翠东) Generalized synchronization of hyperchaos and chaos using active backstepping design 2005 Chinese Physics 14 86

[1] An incommensurate fractional discrete macroeconomic system: Bifurcation, chaos, and complexity
Abderrahmane Abbes, Adel Ouannas, and Nabil Shawagfeh. Chin. Phys. B, 2023, 32(3): 030203.
[2] A novel algorithm to analyze the dynamics of digital chaotic maps in finite-precision domain
Chunlei Fan(范春雷) and Qun Ding(丁群). Chin. Phys. B, 2023, 32(1): 010501.
[3] 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.
[4] Synchronously scrambled diffuse image encryption method based on a new cosine chaotic map
Xiaopeng Yan(闫晓鹏), Xingyuan Wang(王兴元), and Yongjin Xian(咸永锦). Chin. Phys. B, 2022, 31(8): 080504.
[5] 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.
[6] Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation
Wenjie Yang(杨文杰). Chin. Phys. B, 2022, 31(2): 020201.
[7] Complex dynamic behaviors in hyperbolic-type memristor-based cellular neural network
Ai-Xue Qi(齐爱学), Bin-Da Zhu(朱斌达), and Guang-Yi Wang(王光义). Chin. Phys. B, 2022, 31(2): 020502.
[8] Energy spreading, equipartition, and chaos in lattices with non-central forces
Arnold Ngapasare, Georgios Theocharis, Olivier Richoux, Vassos Achilleos, and Charalampos Skokos. Chin. Phys. B, 2022, 31(2): 020506.
[9] Resonance and antiresonance characteristics in linearly delayed Maryland model
Hsinchen Yu(于心澄), Dong Bai(柏栋), Peishan He(何佩珊), Xiaoping Zhang(张小平), Zhongzhou Ren(任中洲), and Qiang Zheng(郑强). Chin. Phys. B, 2022, 31(12): 120502.
[10] An image encryption algorithm based on spatiotemporal chaos and middle order traversal of a binary tree
Yining Su(苏怡宁), Xingyuan Wang(王兴元), and Shujuan Lin(林淑娟). Chin. Phys. B, 2022, 31(11): 110503.
[11] Nonlinear dynamics analysis of cluster-shaped conservative flows generated from a generalized thermostatted system
Yue Li(李月), Zengqiang Chen(陈增强), Zenghui Wang(王增会), and Shijian Cang(仓诗建). Chin. Phys. B, 2022, 31(1): 010501.
[12] Dynamics analysis in a tumor-immune system with chemotherapy
Hai-Ying Liu(刘海英), Hong-Li Yang(杨红丽), and Lian-Gui Yang(杨联贵). Chin. Phys. B, 2021, 30(5): 058201.
[13] Control of chaos in Frenkel-Kontorova model using reinforcement learning
You-Ming Lei(雷佑铭) and Yan-Yan Han(韩彦彦). Chin. Phys. B, 2021, 30(5): 050503.
[14] Resistance fluctuations in superconducting KxFe2-ySe2 single crystals studied by low-frequency noise spectroscopy
Hai Zi(子海), Yuan Yao(姚湲), Ming-Chong He(何明冲), Di Ke(可迪), Hong-Xing Zhan(詹红星), Yu-Qing Zhao(赵宇清), Hai-Hu Wen(闻海虎), and Cong Ren(任聪). Chin. Phys. B, 2021, 30(4): 047402.
[15] A multi-directional controllable multi-scroll conservative chaos generator: Modelling, analysis, and FPGA implementation
En-Zeng Dong(董恩增), Rong-Hao Li(李荣昊), and Sheng-Zhi Du(杜升之). Chin. Phys. B, 2021, 30(2): 020505.
No Suggested Reading articles found!