Super-explosion and inverse canard explosion in a piecewise-smooth slow-fast Leslie-Gower model

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

Cites Work

Unnamed Item
A predator-prey model with a Holling type I functional response including a predator mutual interference
Chasse au canard
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
Relaxation oscillations in a slow-fast modified Leslie-Gower model
Singular perturbations of the Holling I predator-prey system with a focus
Relaxation oscillations of a slow-fast predator-prey model with a piecewise smooth functional response
Relaxation oscillations for Leslie-type predator-prey model with Holling type I response functional function
The entry-exit theorem and relaxation oscillations in slow-fast planar systems
Canard cycles with two breaking parameters
A comparison of two predator-prey models with Holling's type I functional response
Relaxation oscillations in a slow-fast predator-prey model with weak Allee effect and Holling-IV functional response
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold
Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
Canard Explosion and Relaxation Oscillation in Planar, Piecewise-Smooth, Continuous Systems
Canard-like phenomena in piecewise-smooth Van der Pol systems
Canards in piecewise-linear systems: explosions and super-explosions
Mixed-Mode Oscillations with Multiple Time Scales
Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
Relaxation oscillations including a standard chase on French ducks
Canard cycles and center manifolds
Canard Cycles
Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh–Nagumo Type
DYNAMIC ANALYSIS OF A HOLLING I PREDATOR-PREY SYSTEM WITH MUTUAL INTERFERENCE CONCERNING PEST CONTROL
Relaxation oscillation and canard explosion
Canards in $\mathbb{R}^3$