Canards in a minimal piecewise-linear square-wave burster
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Publication:4596708
DOI10.1063/1.4958297zbMath1375.92013OpenAlexW2502602525WikidataQ54324981 ScholiaQ54324981MaRDI QIDQ4596708
Martin Krupa, Soledad Fernández-García, Mathieu Desroches
Publication date: 4 December 2017
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4958297
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Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold ⋮ Spike-adding canard explosion in a class of square-wave bursters
Cites Work
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- Chasse au canard
- Geometric singular perturbation theory for ordinary differential equations
- Non-smooth dynamical systems
- Melnikov theory for a class of planar hybrid systems
- A showcase of torus canards in neuronal bursters
- Spike-adding in parabolic bursters: the role of folded-saddle canards
- Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator
- Synchronization of Elliptic Bursters
- Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster
- Canard solutions in planar piecewise linear systems with three zones
- Canards in piecewise-linear systems: explosions and super-explosions
- Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
- LORENZ EQUATION AND CHUA’S EQUATION
- The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
- Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes
- Piecewise-Linear Identification of Nonlinear Dynamical Systems in View of Their Circuit Implementations
- Piecewise-Linear Approximation of Nonlinear Dynamical Systems
- Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh--Rose Burster
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Computing Slow Manifolds of Saddle Type
- A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System
- Introduction to the Qualitative Theory of Differential Systems
- METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL
- On simplifying and classifying piecewise-linear systems
- Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh–Nagumo Type
- Canonical Discontinuous Planar Piecewise Linear Systems
- NEURAL EXCITABILITY, SPIKING AND BURSTING
- Bursting
- Relaxation oscillation and canard explosion