利用混沌同步辨识未知系统的动态特性
Using synchronization of chaos to identify the dynamics of unknown systems
摘要：
我们解决的问题，如何确定一个在很大程度上未知的混沌系统的知识，其状态演化的方程。该技术可应用于随时间缓慢漂移的参数的估计。为了实现这一点，我们提出了一种自适应策略，其目的是在同步未知的真实系统与另一个系统的参数是自适应进化收敛于真实的。我们提出的策略进行了测试，以确定洛伦兹和罗斯勒系统的方程。我们还考虑了测量噪声和我们的拟合模型与真实动态一致性的偏差的影响。
英文摘要：
We address the issue of how to identify the equations of a largely unknown chaotic system from knowledge about its state evolution. The technique can be applied to the estimation of parameters that drift slowly with time. To accomplish this, we propose an adaptive strategy that aims at synchronizing the unknown real system with another system whose parameters are adaptively evolved to converge on those of the real one. Our proposed strategy is tested to identify the equations of the Lorenz and the Rossler systems. We also consider the effects of measurement noise and of deviation of our fitting model from consistency with the true dynamics.
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