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Parameter identification of map chaotic system with discrete variational method

Cao Xiao-Qun Zhang Wei-Min Song Jun-Qiang Zhu Xiao-Qian Zhao Jun

Parameter identification of map chaotic system with discrete variational method

Cao Xiao-Qun, Zhang Wei-Min, Song Jun-Qiang, Zhu Xiao-Qian, Zhao Jun
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  • Received Date:  18 March 2011
  • Accepted Date:  03 May 2011
  • Published Online:  20 January 2012

Parameter identification of map chaotic system with discrete variational method

  • 1. School of Computer Science, National University of Defense Technology, Changsha 410073, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 41105063, 61070041).

Abstract: In this paper a method is proposed to estimate the unknown parameters of nonlinear map based on the discrete variational principle, which can be applied to all map chaotic systems governed by the following equation: xk+1 = F(xk,). Numerical simulations on the well-known Logistic map and Henn map are conducted and all unknown parameters of the two discrete chaotic systems are identified respectively. Simulation results show that the discrete variational method is effective for parameter identification of the map chaotic system.

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