Identification of the Gray-Scott Model via Deterministic Learning

作者:Dong, Xunde*; Wang, Cong
来源:International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2021, 31(4): 2150051.
DOI:10.1142/S0218127421500516

摘要

Gray-Scott model is one of the most well-known reaction-diffusion models which has a wealth of spatiotemporal chaos behavior. It is commonly used to study spatiotemporal chaos. In the paper, a novel method is proposed for the identification of the Gray-Scott model via deterministic learning and interpolation. The method mainly consists of two phases: the local identification phase and the global identification phase. Local identification is achieved using the finite difference method and deterministic learning. Based on the local identification results, the interpolation method is employed to obtain global identification. Numerical experiments show the feasibility and effectiveness of the proposed method.

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