Global dynamical behavior of Fitzhugh-Nagumo systems with invariant algebraic surfaces

DOI10.1007/s12346-021-00452-2zbMath1460.37025OpenAlexW3128016170MaRDI QIDQ2229221

Jiang Yu, Xiang Zhang, Li-Wei Zhang

Publication date: 22 February 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00452-2

zbMATH Keywords

blow upglobal dynamicsPoincaré compactificationinvariant algebraic surfaceFitzhugh-Nagumo system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Normal forms for dynamical systems (37G05) Symmetries and invariants of dynamical systems (37C79)

Cites Work

• Liouvillian integrability of the FitzHugh-Nagumo systems
• Global dynamics of the Rikitake system
• Analytic first integrals of the FitzHugh-Nagumo systems
• Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces
• Invariant algebraic surfaces of the FitzHugh-Nagumo system
• Qualitative theory of planar differential systems
• GLOBAL DYNAMICS OF THE LORENZ SYSTEM WITH INVARIANT ALGEBRAIC SURFACES
• Global dynamics of the Rössler system with conserved quantities
• Bounded Polynomial Vector Fields
• Dynamics of the Lorenz system having an invariant algebraic surface
• Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz system
• THE CHEN SYSTEM HAVING AN INVARIANT ALGEBRAIC SURFACE
• The topological structure of the Rabinovich system having an invariant algebraic surface

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