BIFURCATION OF LIMIT CYCLES AND ISOCHRONOUS CENTERS FOR A QUARTIC SYSTEM

DOI10.1142/S0218127413501721zbMath1277.34044OpenAlexW2152994297MaRDI QIDQ2866077

Aiyong Chen, Qiujin Xu, Wen-tao Huang

Publication date: 13 December 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127413501721

zbMATH Keywords

isochronous centerlimit cyclesingular point valuequartic systemperiod constants

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) 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)

Related Items (6)

Two kinds of bifurcation phenomena in a quartic system ⋮ Local cyclicity and criticality in FF-type piecewise smooth cubic and quartic Kukles systems ⋮ Center and isochronous center conditions for switching systems associated with elementary singular points ⋮ Bifurcation of limit cycles and isochronous centers on center manifolds for four‐dimensional systems ⋮ Limit cycles and invariant curves in a class of switching systems with degree four ⋮ Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems

Cites Work

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