Local analysis near a folded saddle-node singularity
type: Item
instance of: scholarly article
title: Local analysis near a folded saddle-node singularity
zbMATH Open document ID: 1198.34103
author: M. Krupa
author: Martin Wechselberger
published in: Journal of Differential Equations
publication date: 2010-06-25T00:00:00Z
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34E13
Mathematics Subject Classification ID: 34E17
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 5726572
zbMATH Keywords: folded singularities
zbMATH Keywords: canards
zbMATH Keywords: delayed Hopf bifurcation
MaRDI profile type: Publication
full work available at URL: j.jde.2010.02.006
OpenAlex ID: W2041579436
cites work: Singular Hopf Bifurcation to Relaxation Oscillations
cites work: Singular Hopf Bifurcation to Relaxation Oscillations. II
cites work: Q3310966
cites work: Perturbation singulière en dimension trois : Canards en un point pseudo-singulier nœud. (Singular perturbation, tridimensional case: canards on a pseudo-singular node point)
cites work: The Forced van der Pol Equation II: Canards in the Reduced System
cites work: Singular Hopf bifurcation in systems with fast and slow variables
cites work: Q3425108
cites work: The Geometry of Slow Manifolds near a Folded Node
cites work: The canard unchained or how fast/slow dynamical systems bifurcate
cites work: Canard cycles and center manifolds
cites work: Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model
cites work: Geometric singular perturbation theory for ordinary differential equations
cites work: Singular Hopf Bifurcation in Systems with Two Slow Variables
cites work: Q3371983
cites work: Bifurcation, bursting, and spike frequency adaptation
cites work: Chaotic attractors of relaxation oscillators
cites work: Asymptotic analysis of subcritical Hopf-homoclinic bifurcation
cites work: Q4112233
cites work: Q4847945
cites work: Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example
cites work: Relaxation oscillation and canard explosion
cites work: Extending geometric singular perturbation theory to nonhyperbolic points -- fold and canard points in two dimensions
cites work: Q4550183
cites work: Geometry of Mixed-Mode Oscillations in the 3-D Autocatalator
cites work: Q3203361
cites work: Q3833310
cites work: Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model
cites work: Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model
cites work: The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales
cites work: Q4777734
cites work: Q4550185
cites work: Canards in \(\mathbb{R}^3\)
cites work: Relaxation oscillations in \({\mathbb R}^3\)
cites work: Q4166990
cites work: Entrée-sortie dans un tourbillon
cites work: Extending Melnikov theory to invariant manifolds on non-compact domains
cites work: Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
DOI: 10.1016/J.JDE.2010.02.006
Recommended article: Q3600701
Recommended article: Propagation of singularities in a locally integrable structure
Recommended article: Local analysis of singularities of an invertible system of ordinary differential equations
Recommended article: Analytical classification of singular saddle-node vector fields
Recommended article: Singular Free Boundary Problems and Local Bifurcation Theory
Recommended article: The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness
Recommended article: Q5448256
Recommended article: Local Numerical Analysis of Hopf Bifurcation
Recommended article: Q4226770
Recommended article: Q4543533
description: scientific article; zbMATH DE number 5726572