Existence of Periodic Solutions of the FitzHugh--Nagumo Equations for an Explicit Range of the Small Parameter
DOI10.1137/15M1007707zbMath1360.34069arXiv1502.02451MaRDI QIDQ2819093
Aleksander Czechowski, Piotr Zgliczyński
Publication date: 28 September 2016
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.02451
covering relationsperiodic orbitcontinuationslow-fast systemFitzHugh-Nagumo modelrigorous computationisolating segments
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Algorithms with automatic result verification (65G20) Multiple scale methods for ordinary differential equations (34E13)
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