Recovering discrete delayed fractional equations from trajectories

Mathematical Methods in the Applied Sciences(2023)

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摘要
We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic map. We show that given a trajectory, we can detect if it has some delay effect or not and also to characterize the fractional component of the underlying generation model.
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关键词
chaotic systems,delayed discrete fractional systems,fractional dynamical systems,machine learning,recurrent neural networks
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