中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60507-060507.doi: 10.1088/1674-1056/19/6/060507

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Synchronization-based approach for parameter identification in delayed chaotic network

蔡国梁, 邵海见   

  1. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China
  • 收稿日期:2009-11-06 出版日期:2010-06-15 发布日期:2010-06-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~70571030 and 90610031), the Social Science Foundation from Ministry of Education of China (Grant No.~08JA790057) and the Advanced Talents' Foundation and Student's Foundatio

Synchronization-based approach for parameter identification in delayed chaotic network

Cai Guo-Liang(蔡国梁)† and Shao Hai-Jian(邵海见)   

  1. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China
  • Received:2009-11-06 Online:2010-06-15 Published:2010-06-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~70571030 and 90610031), the Social Science Foundation from Ministry of Education of China (Grant No.~08JA790057) and the Advanced Talents' Foundation and Student's Foundatio

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摘要： This paper introduces an adaptive procedure for the problem of synchronization and parameter identification for chaotic networks with time-varying delay by combining adaptive control and linear feedback. In particular, we consider that the equations $\dot {x}_i (t)$  (for $i =r+1, r+2,\ldots , n$) can be expressed by the former $\dot {x}_i (t)$  (for $i = 1, 2,\ldots , r$), which is not the same as the previous equation. This approach is also able to track changes in the operating parameters of chaotic networks rapidly and the speed of synchronization and parameter estimation can be adjusted. In addition, this method is quite robust against the effect of slight noise and the estimated value of a parameter fluctuates around the correct value.

Abstract: This paper introduces an adaptive procedure for the problem of synchronization and parameter identification for chaotic networks with time-varying delay by combining adaptive control and linear feedback. In particular, we consider that the equations $\dot {x}_i (t)$  (for $i =r+1, r+2,\ldots , n$) can be expressed by the former $\dot {x}_i (t)$  (for $i = 1, 2,\ldots , r$), which is not the same as the previous equation. This approach is also able to track changes in the operating parameters of chaotic networks rapidly and the speed of synchronization and parameter estimation can be adjusted. In addition, this method is quite robust against the effect of slight noise and the estimated value of a parameter fluctuates around the correct value.

Key words: chaotic network, parameter identification, synchronization, time-varying delay

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)