Extended and Symmetric Loss of Stability for Canards in Planar Fast-Slow Maps

DOI10.1137/20M1313611zbMath1478.37054arXiv1912.10286OpenAlexW3105017939MaRDI QIDQ4983516

Maximilian Engel, Hildeberto Jardón-Kojakhmetov

Publication date: 20 April 2021

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

Full work available at URL: https://arxiv.org/abs/1912.10286

zbMATH Keywords

discretizationdelayed loss of stabilityfast-slow systemcanard

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discrete version of topics in analysis (39A12) Singular perturbations for ordinary differential equations (34E15) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (2)

Discrete geometric singular perturbation theory ⋮ Discretized fast-slow systems with canards in two dimensions

Uses Software

• RODAS
• DLMF
• mpmath

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