Analytic first integrals of the FitzHugh-Nagumo systems

DOI10.1007/s00033-007-7087-6zbMath1194.92014OpenAlexW2019097041MaRDI QIDQ1041097

Jaume Llibre, Claudia Valls

Publication date: 30 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00033-007-7087-6

zbMATH Keywords

integrabilityanalytic first integralsFitzHugh-Nagumo equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Qualitative theory for ordinary differential equations (34C99) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (8)

On integrability of the segmented disc dynamo: the effect of mechanical friction ⋮ On first integrals of a family of generalized Lorenz-like systems ⋮ Liouvillian integrability of the FitzHugh-Nagumo systems ⋮ Global dynamical behavior of Fitzhugh-Nagumo systems with invariant algebraic surfaces ⋮ Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces ⋮ Zero-Hopf bifurcation in the FitzHugh-Nagumo system ⋮ Invariant algebraic surfaces of the FitzHugh-Nagumo system ⋮ First integrals of the Maxwell-Bloch system

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