Computational singular perturbation method for the non-standard FitzHugh-Nagumo system

摘要

An effective computational singular perturbation (CSP) method for solving the non-standard FitzHugh-Nagumo system is constructed and evaluated by detailed algebra factorization. Furthermore, our studies illustrate a geometric CSP framework with the layer and reduced problems for the non-standard FitzHugh-Nagumo system. Finally, the first two CSP manifolds and two CSP fast fibers are also presented for the FitzHugh-Nagumo system by one-step and two-step CSP updates in this context. The CSP method can further describe F'enichel manifolds and facilitate a better understanding of the dynamic properties of complex neuron models or circuit neural models.

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