Isochronicity for a \(Z_{2}\)-equivariant cubic system

DOI10.1007/s11071-016-3112-7zbMath1372.34062OpenAlexW2529154658MaRDI QIDQ2411246

Chao-xiong Du, Yi-rong Liu

Publication date: 20 October 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-3112-7

zbMATH Keywords

integrabilityperiodic constants\(Z_{2}\)-equivariantbi-isochronous centers

Mathematics Subject Classification ID

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

Related Items (6)

Simultaneity of centres in ℤ _q -equivariant systems ⋮ Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system ⋮ Complete classification on center of cubic planar systems symmetric with respect to a straight line ⋮ Complex integrability and linearizability of cubic \(Z_2\)-equivariant systems with two \(1:q\) resonant singular points ⋮ Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems ⋮ Integrability and linearizability of cubic \(Z_2\) systems with non-resonant singular points

Uses Software

• Mathematica

Cites Work

• Unnamed Item
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• A class of ninth degree system with four isochronous centers
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