The number of limit cycles of the FitzHugh nerve system
DOI10.1090/S0033-569X-2015-01384-7zbMath1323.34044OpenAlexW2072415269MaRDI QIDQ5254377
Publication date: 9 June 2015
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0033-569x-2015-01384-7
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness of limit cycles for Liénard differential equations of degree four
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Bifurcation phenomena in FitzHugh's nerve conduction equations
- Quadratic Liénard equations with quadratic damping
- Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop.
- Cubic Lienard equations with linear damping
- On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations
- Nonexistence of periodic solutions for the FitzHugh nerve system
- 23.—Oscillation Phenomena in the Hodgkin-Huxley Equations
- On existence of periodic orbits for the FitzHugh nerve system
- Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop
- Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles
This page was built for publication: The number of limit cycles of the FitzHugh nerve system
