Centers and isochronous centers of a class of quasi-analytic switching systems

DOI10.1007/s11425-016-9158-2zbMath1400.34044arXiv1708.07546OpenAlexW2962892961MaRDI QIDQ1656890

Y. Aharonov

Publication date: 10 August 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07546

zbMATH Keywords

isochronous centercenterlimit cycleLyapunov constantquasi-analytic switching system

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) Discontinuous ordinary differential equations (34A36)

Related Items

Twenty-Six Crossing Limit Cycles Around One Singular Point in a Cubic Switching System ⋮ Limit Cycles from Hopf Bifurcation in Nongeneric Quadratic Reversible Systems with Piecewise Perturbations ⋮ Integrability and non-linearizability of weak saddles in a cubic Kolmogorov model ⋮ Heteroclinic loop bifurcations by perturbing a class of \(\mathrm{Z}_2\)-equivariant quadratic switching Hamiltonian systems with nilpotent singular points ⋮ Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system

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