Center, limit cycles and isochronous center of a \(Z_{4}\)-equivariant quintic system

DOI10.1007/s10114-010-7541-9zbMath1214.34025OpenAlexW1977071188MaRDI QIDQ606286

Heilong Mi, Yi-rong Liu, Chao-xiong Du

Publication date: 17 November 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7541-9

zbMATH Keywords

isochronous centercenterlimit cyclefocal value\(Z_4\)-equivariant quintic system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

Simultaneity of centres in ℤ _q -equivariant systems ⋮ Bifurcations of limit circles and center conditions for a class of non-analytic cubic \(Z_2\) polynomial differential systems ⋮ Integrability of complex planar systems with homogeneous nonlinearities ⋮ The problem of bicenter and isochronicity for a class of quasi symmetric planar systems

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