Phase transition of oscillators and travelling waves in a class of relaxation systems
DOI10.3934/dcdsb.2016063zbMath1392.34041OpenAlexW2524445210MaRDI QIDQ325777
Publication date: 11 October 2016
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2016063
travelling wavesvan der Pol equationhomoclinic bifurcationorbit analysisoscillatorsFitzHugh-Nagumo equationrelaxation systemswinfree generic system
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (2)
Cites Work
- Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation
- Fast and slow waves in the FitzHugh-Nagumo equation
- Homoclinic orbits of the FitzHugh-Nagumo equation: the singular-limit
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Bifurcation phenomena near homoclinic systems: A two-parameter analysis
- A geometric approach to singular perturbation problems with applications to nerve impulse equations
- Bifurcations of traveling wave solutions in a coupled nonlinear wave equation
- Turning points and traveling waves in Fitzhugh--Nagumo type equations
- Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System
- A Homoclinic Solution for Excitation Waves on a Contractile Substratum
- Elements of applied bifurcation theory
- Relaxation oscillation and canard explosion
- Unnamed Item
- Unnamed Item
This page was built for publication: Phase transition of oscillators and travelling waves in a class of relaxation systems
