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Apropos canards (Q2884404)

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scientific article; zbMATH DE number 6038816

Language	Label	Description	Also known as
English	Apropos canards	scientific article; zbMATH DE number 6038816

Statements

scholarly article

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Martin Wechselberger

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Transactions of the American Mathematical Society

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publication date

29 May 2012

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zbMATH Keywords

singularly perturbed systems

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differential-algebraic equations

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folded singularities

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canards

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describes a project that uses

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MaRDI profile type

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Duck-shaped solutions and winding.

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Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman's examples

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Delay induced canards in a model of high speed machining

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Applications of centre manifold theory

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Mixed-mode oscillations with multiple time scales

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Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system

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The Geometry of Slow Manifolds near a Folded Node

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The geometry of mixed-mode oscillations in the Olsen model for the peroxidase-oxidase reaction

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Numerical continuation of canard orbits in slow–fast dynamical systems

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Nonstandard analysis in practice

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The canard unchained or how fast/slow dynamical systems bifurcate

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Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies

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Canard cycles and center manifolds

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Relaxation oscillations including a standard chase on French ducks

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Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model

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Geometric singular perturbation theory for ordinary differential equations

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Singular Hopf Bifurcation in Systems with Two Slow Variables

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Understanding anomalous delays in a model of intracellular calcium dynamics

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Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics

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Invariant manifolds

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Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example

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Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron

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Extending geometric singular perturbation theory to nonhyperbolic points -- fold and canard points in two dimensions

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Relaxation oscillation and canard explosion

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Local analysis near a folded saddle-node singularity

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Geometry of Mixed-Mode Oscillations in the 3-D Autocatalator

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Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed

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Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model

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Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model

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The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales

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Canards in \(\mathbb{R}^3\)

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Relaxation oscillations in \({\mathbb R}^3\)

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Mixed mode oscillations as a mechanism for pseudo-plateau bursting

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Extending Melnikov theory to invariant manifolds on non-compact domains

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Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node

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Folds, canards and shocks in advection–reaction–diffusion models

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Bifurcations of mixed-mode oscillations in a stellate cell model

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Homoclinic clusters and chaos associated with a folded node in a stellate cell model

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Apropos canards (English)

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Identifiers

zbMATH Open document ID

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10.1090/S0002-9947-2012-05575-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2884404

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