Slow–fast systems and sliding on codimension 2 switching manifolds

DOI10.1080/14689367.2019.1579782zbMath1429.34065arXiv1808.07968OpenAlexW2888083225WikidataQ128491723 ScholiaQ128491723MaRDI QIDQ5240658

Willian Pereira Nunes, Paulo Ricardo da Silva

Publication date: 29 October 2019

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07968

zbMATH Keywords

singular perturbationnon-smooth systemsinvariant manifoldsHopf bifurcationBogdanov-Takens bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

Structural stability for 2-dimensional piecewise smooth vector fields where the switching manifold is a double discontinuity

Cites Work

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