Duffing振子系统耦合的检测
Detection of coupling in Duffing oscillator systems
摘要：
在复杂动力系统中，从观测的时间序列中检测耦合及其方向是一项具有挑战性的任务。研究了耦合Duffing振子系统在正则和混沌动力学状态下的耦合问题。通过观察基于Shannon熵的条件互信息，我们成功地推断了不同系统区域的耦合方向。此外，我们表明，在弱耦合限制的CMI的值可以用来推断耦合参数通过计算的导数的条件互信息相对于耦合强度，称为信息敏感性。完整的数值实现可在https://repo.ijs.si/mbresar/duffing-cmi上获得。
英文摘要：
In complex dynamical systems, the detection of coupling and its direction from observed time series is a challenging task. We study coupling in coupled Duffing oscillator systems in regular and chaotic dynamical regimes. By observing the conditional mutual information (CMI) based on the Shannon entropy, we successfully infer the direction of coupling for different system regimes. Moreover, we show that in the weak coupling limit the values of CMI can be used to infer the coupling parameters by computing the derivative of the conditional mutual information with respect to the coupling strength, called the information susceptibility. The complete numerical implementation is available at https://repo.ijs.si/mbresar/duffing-cmi.
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