非线性映射参数辨识的离散变分方法

Parameter identification of map chaotic system with discrete variational method

提出一种辨识非线性映射系统巾未知参数的离散变分方法,对以bmx_(k+1)=F(x_k,θ)为状态控制方程的所有映射混沌系统具有通用性.对典型的Logistic映射和Hen6n映射巾的未知参数进行了估计,仿真结果表明了该方法的有效性.

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：x_（k＋1） = F（x_k,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.