Mixed-mode oscillations in a piecewise linear system with multiple time scale coupling
type: Item
instance of: scholarly article
title: Mixed-mode oscillations in a piecewise linear system with multiple time scale coupling
zbMATH Open document ID: 1415.34068
author: Yanyan Li
published in: Physica D
publication date: 2019-06-27T00:00:00Z
full work available at URL: mmo-pwl-multiple-timescales.pdf
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34C46
zbMATH DE Number: 7074457
zbMATH Keywords: piecewise linear systems
zbMATH Keywords: slow-fast dynamics
zbMATH Keywords: coupled oscillators
zbMATH Keywords: secondary canards
zbMATH Keywords: mixed-mode oscillations
MaRDI profile type: Publication
OpenAlex ID: W2412639298
cites work: A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System
cites work: Mathematical Modeling of the GnRH Pulse and Surge Generator
cites work: Foliation-Based Parameter Tuning in a Model of the GnRH Pulse and Surge Generator
cites work: Nagumo's equation
cites work: Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System
cites work: Canard solutions in planar piecewise linear systems with three zones
cites work: Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh–Nagumo Type
cites work: Canards, folded nodes, and mixed-mode oscillations in piecewise-linear slow-fast systems
cites work: Canards in piecewise-linear systems: explosions and super-explosions
cites work: Relaxation oscillation and canard explosion
cites work: Q5658861
cites work: Geometric singular perturbation theory for ordinary differential equations
cites work: Canard trajectories in 3D piecewise linear systems
cites work: Slow-fast \(n\)-dimensional piecewise linear differential systems
cites work: Duck-shaped solutions and winding.
cites work: Canards in \(\mathbb{R}^3\)
cites work: Canard-mediated (de)synchronization in coupled phantom bursters
DOI: 10.1016/J.PHYSD.2016.06.002
description: scientific article; zbMATH DE number 7074457