Uniqueness and stability of periodic bursting solutions
type: Item
instance of: scholarly article
title: Uniqueness and stability of periodic bursting solutions
zbMATH Open document ID: 0935.34045
author: E. Lee
author: D. Terman
published in: Journal of Differential Equations
publication date: 2000-01-04T00:00:00Z
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34C26
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 34C30
Mathematics Subject Classification ID: 34C37
zbMATH DE Number: 1384459
zbMATH Keywords: uniqueness
zbMATH Keywords: stability
zbMATH Keywords: square bursting oscillators
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: geometric singular perturbation
describes a project that uses: AUTO
MaRDI profile type: Publication
cites work: On the dynamics of bursting systems
cites work: Q4049364
cites work: Topological and phenomenological classification of bursting oscillations
cites work: Applications of centre manifold theory
cites work: Q4749133
cites work: Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
cites work: Q5658861
cites work: Q4771890
cites work: Q4141818
cites work: Geometric singular perturbation theory for ordinary differential equations
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Invariant manifolds
cites work: Q4884302
cites work: Perturbation Techniques for Models of Bursting Electrical Activity in Pancreatic $\beta $-Cells
cites work: Q5726808
cites work: Q3275127
cites work: Q3857636
cites work: Transversal heteroclinic and homoclinic orbits in singular perturbation problems
cites work: Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes
cites work: The transition from bursting to continuous spiking in excitable membrane models
cites work: Global bifurcations and chaos. Analytical methods
description: scientific article; zbMATH DE number 1384459