用B样条神经网络控制非线性系统的混沌运动
Controlling Chaotic Motions of Nonlinear System Using B-Spline Neural Network
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摘要: 采用B样条神经网络,通过选取混沌系统不稳定周期轨道的不动点附近的数据作为参数扰动模型输入 样本的学习,把该模型训练成神经网络混沌控制器,从而预测出混沌系统将来时刻的时间序列,获得控制混沌系 统的扰动信号.用该扰动信号,将嵌入在混沌吸引子中不稳定周期轨道镇定到稳定的不动点处.通过对Henon映 射的数值仿真实验,证明采用B样条神经网络控制非线性混沌运动是有效的.Abstract: A B-spline neural network was trained to be a neural network chaotic controller to predict the time sequences of chaotic systems and obtain their perturbation signals for control of chaotic systems. The data around the fixed points of unstable periodic orbits were used as input samples to train the parametric perturbation model. The perturbation signals were embedded in a chaotic attractor on the inputs of parameter perturbation model. Numerical simulation on Henon mapping demonstrates that the proposed model is effective for nonlinear chaotic motion control.
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