Extended and Symmetric Loss of Stability for Canards in Planar Fast-Slow Maps
DOI10.1137/20M1313611zbMath1478.37054arXiv1912.10286OpenAlexW3105017939MaRDI QIDQ4983516
Maximilian Engel, Hildeberto Jardón-Kojakhmetov
Publication date: 20 April 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.10286
Bifurcations of singular points in dynamical systems (37G10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discrete version of topics in analysis (39A12) Singular perturbations for ordinary differential equations (34E15) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)
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- Neural excitability and singular bifurcations
- Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations
- Multiple time scale dynamics
- On integrability of Hirota-Kimura type discretizations
- Chasse au canard
- Dynamic transcritical bifurcations in a class of slow-fast predator-prey models
- On stability loss delay for dynamical bifurcations
- A survey of some results on overstability and bifurcation delay
- Geometric singular perturbation theory for ordinary differential equations
- Normally hyperbolic invariant manifolds in dynamical systems
- Excitable neurons, firing threshold manifolds and canards
- Multi-timescale systems and fast-slow analysis
- On maximum bifurcation delay in real planar singularly perturbed vector fields
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Extending slow manifolds near transcritical and pitchfork singularities
- Mixed-Mode Oscillations with Multiple Time Scales
- On Integrability of Hirota–Kimura-Type Discretizations: Experimental Study of the Discrete Clebsch System
- Multiagent Decision-Making Dynamics Inspired by Honeybees
- Canard cycles and center manifolds
- Geometric properties of Kahan's method
- Discretized fast–slow systems near pitchfork singularities
- Discretized fast-slow systems near transcritical singularities
- Invariant manifolds
- Relaxation oscillation and canard explosion
- The entry-exit function and geometric singular perturbation theory
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