Analysis of a slow-fast system near a cusp singularity

DOI10.1016/j.jde.2015.10.045zbMath1341.34059arXiv1506.08679OpenAlexW2197630424MaRDI QIDQ898574

Robert Roussarie, Henk W. Broer, Hildeberto Jardón-Kojakhmetov

Publication date: 18 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08679

zbMATH Keywords

blow-upnormal formfast-slow systemcusp catastrophetransition mapBorel's Lemma

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singular perturbations for ordinary differential equations (34E15)

Related Items

Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems ⋮ A survey on the blow-up method for fast-slow systems ⋮ Collision trajectories and regularisation of two-body problem on \(S^2\) ⋮ Mixed-Mode Oscillations in Coupled FitzHugh–Nagumo Oscillators: Blow-Up Analysis of Cusped Singularities ⋮ Stabilization of a class of slow-fast control systems at non-hyperbolic points ⋮ Formal normal form of \(A_k\) slow-fast systems ⋮ Slow unfoldings of contact singularities in singularly perturbed systems beyond the standard form

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