Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder

DOI10.1016/j.bulsci.2015.06.002zbMath1350.34035arXiv1404.2630OpenAlexW2951761354MaRDI QIDQ293529

Rodrigo D. Euzébio, Claudio A. Buzzi, Ana Cristina Mereu

Publication date: 9 June 2016

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2630

zbMATH Keywords

limit cyclesaveraging methodMalkin's bifurcation functionnon-smooth vector fields

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

Bifurcation of piecewise smooth manifolds from 3D center-type vector fields

Cites Work

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• Limit cycles bifurcating from isochronous surfaces of revolution in \(\mathbb R^3\)
• Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems
• Limit cycles bifurcating from a two-dimensional isochronous cylinder
• Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
• Averaging methods for finding periodic orbits via Brouwer degree.
• Piecewise-smooth dynamical systems. Theory and applications
• Limit Cycles Bifurcating from a 2-Dimensional Isochronous Torus in ℝ³
• Bifurcation of limit cycles from a centre in ℝ⁴in resonance 1:N

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