On the non-existence of isochronous tangential centers in Filippov vector fields

DOI10.1090/proc/16047OpenAlexW3212054010MaRDI QIDQ5039257

Leandro A. Silva, Douglas Duarte Novaes

Publication date: 12 October 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.09020

zbMATH Keywords

period functioncriticality problemFilippov vector fieldsmonodromic tangential singularitiesisochronicity problemtangential centers

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36)

Related Items (1)

A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness

Cites Work

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• Piecewise linear perturbations of a linear center
• Center-focus and isochronous center problems for discontinuous differential equations.
• Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields
• Criticality via first order development of the period constants
• The Center and Cyclicity Problems
• Bifurcation of Critical Periods for Plane Vector Fields
• Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
• Linearizability of linear systems perturbed by fifth degree homogeneous polynomials
• Isochronicity of a class of piecewise continuous oscillators

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