Mixed-Mode Oscillations and Twin Canard Orbits in an Autocatalytic Chemical Reaction

DOI10.1137/16M1099248zbMath1381.37107OpenAlexW2773488274MaRDI QIDQ4601204

Cris R. Hasan, Hinke M. Osinga, Bernd Krauskopf

Publication date: 12 January 2018

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1099248

zbMATH Keywords

slow manifoldmultiple time scalesmixed-mode oscillationtwin canard orbit

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Computational methods for bifurcation problems in dynamical systems (37M20) Singular perturbations for ordinary differential equations (34E15) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Canard solutions to ordinary differential equations (34E17)

Related Items

Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations ⋮ Slow-fast dynamics in the truss core sandwich plate under excitations with high and low frequencies ⋮ A Lin's method approach for detecting all canard orbits arising from a folded node ⋮ Complex bursting dynamics in the cubic-quintic Duffing-van der Pol system with two external periodic excitations ⋮ Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation ⋮ Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model

Uses Software

• AUTO
• AUTO-07P

Cites Work

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