Liouvillian integrability of the FitzHugh-Nagumo systems
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Publication:608314
DOI10.1016/j.geomphys.2010.08.005zbMath1207.34006OpenAlexW2059688095MaRDI QIDQ608314
Publication date: 25 November 2010
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.08.005
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
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Cites Work
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- Multiplicity of invariant algebraic curves in polynomial vector fields
- Analytic first integrals of the FitzHugh-Nagumo systems
- Elementary first integrals and algebraic invariant curves of differential equations
- Polynomial first integrals of the Lotka-Volterra system
- Liouvillian integration of the Lotka-Volterra system
- Rational integration of the Lotka-Volterra system
- Existence of wavefronts and impulses to FitzHugh-Nagumo equations
- Corrections and complements to ``Liouvillian integration of the Lotka-Volterra system
- Liouvillian first integrals for the planar Lotka-Volterra system
- Liouvillian and Analytic First Integrals for the Brusselator System
- On the local analytic integrability at the singular point of a class of Liénard analytic differential systems
- Liouvillian First Integrals of Differential Equations
- FITZHUGH–NAGUMO REVISITED: TYPES OF BIFURCATIONS, PERIODICAL FORCING AND STABILITY REGIONS BY A LYAPUNOV FUNCTIONAL