Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system

DOI10.1016/j.jmaa.2018.07.053zbMath1410.34092OpenAlexW2885003308MaRDI QIDQ1664469

Wilker Fernandes, Valery G. Romanovski, Regilene D. S. Oliveira

Publication date: 27 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.07.053

zbMATH Keywords

isochronicitycenter-focus problemplanar differential systemsequivariant systemsglobal phase portraits

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) Symmetries, invariants of ordinary differential equations (34C14) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (3)

Symmetric centers on planar cubic differential systems ⋮ Simultaneity of centres in double-reversible planar differential systems ⋮ Isochronicity of bi-centers for symmetric quartic differential systems

Uses Software

• primdec

Cites Work

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