Sector-delayed-Hopf-type mixed-mode oscillations in a prototypical three-time-scale model

DOI10.1016/j.amc.2015.09.083zbMath1410.34168OpenAlexW2219466128MaRDI QIDQ668488

Nikola Popović, Peter De Maesschalck, Ekaterina Kutafina

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://www.pure.ed.ac.uk/ws/files/21713920/dMKP2015.pdf

zbMATH Keywords

singular perturbationsmixed-mode oscillationscanardsfast-slow dynamicsdelayed Hopf bifurcationneuronal modelling

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Canard solutions to ordinary differential equations (34E17)

Related Items (7)

Fenichel Theory for Multiple Time Scale Singular Perturbation Problems ⋮ Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations ⋮ Complex oscillatory patterns in a three-timescale model of a generalist predator and a specialist predator competing for a common prey ⋮ Homogenization of coupled fast-slow systems via intermediate stochastic regularization ⋮ Multistability and fast-slow analysis for van der Pol-Duffing oscillator with varying exponential delay feedback factor ⋮ Stochastic stabilization problem of complex networks without strong connectedness ⋮ Analysis of Interacting Local Oscillation Mechanisms in Three-Timescale Systems

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