Canard cycle transition at a slow-fast passage through a jump point
From MaRDI portal
Publication:2449598
DOI10.1016/j.crma.2014.02.008zbMath1291.34097OpenAlexW4243381602MaRDI QIDQ2449598
Freddy Dumortier, Peter De Maesschalck, Robert Roussarie
Publication date: 9 May 2014
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2014.02.008
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)
Related Items
Singular perturbations of the Holling I predator-prey system with a focus, Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold, Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III, Side-comparison for transition maps in multi-layer canard problems, Perturbation of a piecewise regular-singular Liénard system, Singular perturbations of generalized Holling type III predator-prey models with two canard points, Canard-cycle transition at a fast-fast passage through a jump point, Slow divergence integral and its application to classical Liénard equations of degree 5, Several bifurcation mechanisms for limit cycles in a predator-prey system, Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator–prey systems, Relaxation oscillation and canard explosion for a SIRS model with nonlinear incidence rate, Slow-Fast Dynamics and Its Application to a Biological Model
Cites Work
- Cyclicity of common slow-fast cycles
- Slow divergence integral and balanced canard solutions
- Canard-cycle transition at a fast-fast passage through a jump point
- Canard cycles and center manifolds
- Multiple canard cycles in generalized Liénard equations
- Relaxation oscillation and canard explosion
- Unnamed Item