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物理学报  2012 

Parameter identification of map chaotic system with discrete variational method
非线性映射参数辨识的离散变分方法

Keywords: chaotic system,parameter identification,discrete variational method,adjoint equation
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,参数辨识,离散变分方法,伴随方程

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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,θ).Numerical simulations on the well-known Logistic map and Henon 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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