Discretized fast-slow systems near transcritical singularities

DOI10.1088/1361-6544/ab15c1zbMath1416.37045arXiv1806.06561OpenAlexW3103056675WikidataQ127761714 ScholiaQ127761714MaRDI QIDQ5380371

Maximilian Engel, Christian Kuehn

Publication date: 4 June 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06561

zbMATH Keywords

discretizationinvariant manifoldstranscritical bifurcationblow-up methodslow manifoldsloss of normal hyperbolicity

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Finite difference and finite volume methods for ordinary differential equations (65L12) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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