中国物理B ›› 2004, Vol. 13 ›› Issue (3): 317-328.doi: 10.1088/1009-1963/13/3/010

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Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems

禹思敏1, 丘水生2, 彭世国3, 林清华4, 马在光5   

  1. (1)College of Automation, Guangdong University of Technology, Guangzhou 510090, China; (2)College of Electronic & Information Engineering, South China University of Technology, Guangzhou 510640, China; (3)Department of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, China; (4)Department of Applied Physics, Guangdong University of Technology, Guangzhou 510090, China; (5)Department of Applied Physics, South China University of Technology, Guangzhou 510640, China
  • 收稿日期:2003-06-06 修回日期:2003-08-21 出版日期:2004-03-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the Natural Science Foundation of Guangdong Province (Grant No 032469), and the National Natural Science Foundation of China (Grant No 69672022), and the Doctoral Foundation of the State Education Ministry of China (Grant No 00056107)

Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems

Yu Si-Min (禹思敏)a, Ma Zai-Guang (马在光)b, Qiu Shui-Sheng (丘水生)c, Peng Shi-Guo (彭世国)d, Lin Qing-Hua (林清华)e    

  1. a College of Automation, Guangdong University of Technology, Guangzhou 510090, China; b Department of Applied Physics, South China University of Technology, Guangzhou 510640, China; c College of Electronic & Information Engineering, South China University of Technology, Guangzhou 510640, China; d Department of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, China; e Department of Applied Physics, Guangdong University of Technology, Guangzhou 510090, China
  • Received:2003-06-06 Revised:2003-08-21 Online:2004-03-06 Published:2005-07-06
  • Supported by:
    Project supported by the Natural Science Foundation of Guangdong Province (Grant No 032469), and the National Natural Science Foundation of China (Grant No 69672022), and the Doctoral Foundation of the State Education Ministry of China (Grant No 00056107)

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摘要： Based on our previous works and Lyapunov stability theory, this paper studies the generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems. A fourth-order circuit, by introducing additional breakpoints in the modified Chua oscillator, is implemented for the study of generation and synchronization of N-scroll chaotic attractors. This confirms the consistency of theoretical calculation, numerical simulation and circuit experiment. Furthermore, we give a refined and extended study of generating and synchronizing N-scroll hyperchaotic attractors in the fourth-order MCK system and report the new theoretical result, which is verified by computer simulations.

关键词: fourth-order systems, N-scroll chaotic attractors, N-scroll hyperchaotic attractors, N-scroll system synchronization

Abstract: Based on our previous works and Lyapunov stability theory, this paper studies the generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems. A fourth-order circuit, by introducing additional breakpoints in the modified Chua oscillator, is implemented for the study of generation and synchronization of N-scroll chaotic attractors. This confirms the consistency of theoretical calculation, numerical simulation and circuit experiment. Furthermore, we give a refined and extended study of generating and synchronizing N-scroll hyperchaotic attractors in the fourth-order MCK system and report the new theoretical result, which is verified by computer simulations.

Key words: fourth-order systems, N-scroll chaotic attractors, N-scroll hyperchaotic attractors, N-scroll system synchronization

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems)