Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces

DOI10.1007/s00033-020-01450-1zbMath1476.37032OpenAlexW3120317866MaRDI QIDQ2026438

Yuzhou Tian, Jaume Llibre

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01450-1

zbMATH Keywords

global dynamicsFitzHugh-Nagumo systemPoincaré compactificationinvariant algebraic surface

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Symmetries and invariants of dynamical systems (37C79)

Related Items (2)

On integrability of the segmented disc dynamo: the effect of mechanical friction ⋮ Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application

Cites Work

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