On periodic orbits in a slow-fast system with normally elliptic slow manifold

DOI10.1002/mma.2971zbMath1375.34087OpenAlexW2123569300MaRDI QIDQ2870742

Christos Sourdis

Publication date: 21 January 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: http://preprints.acmac.uoc.gr/174/1/acmac-0174.pdf

zbMATH Keywords

singular perturbationsresonance phenomenaperiodic orbits of vector fields and flows

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (2)

Bifurcation of multiple periodic solutions for a class of nonlinear dynamical systems in \((m+4)\)-dimension ⋮ Bifurcation and number of subharmonic solutions of a 4D non-autonomous slow-fast system and its application

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