Bifurcation of Critical Periods from a Quartic Isochronous Center

DOI10.1142/S0218127414500898zbMath1296.34078MaRDI QIDQ3191247

Linping Peng, Zhao-sheng Feng

Publication date: 1 October 2014

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

zbMATH Keywords

bifurcationcritical periodperiod annulusrigidly isochronous centerhomogeneous perturbation

Mathematics Subject Classification ID

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items

A Higher-Order Period Function and Its Application ⋮ Number of Critical Periods for Perturbed Rigidly Isochronous Centers ⋮ Bifurcation of Limit Cycles from a Quintic Center via the Second Order Averaging Method ⋮ LOCAL BIFURCATION OF CRITICAL PERIODS IN QUADRATIC-LIKE CUBIC SYSTEMS

Cites Work

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• The monotonicity of the period function for planar Hamiltonian vector fields
• Perturbations of quadratic centers
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• The monotonicity of period function for the codimension four quadratic system \(Q_4\).
• Linearization of isochronous centers
• On the critical periods of perturbed isochronous centers
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• Properties of the period function for some Hamiltonian systems and homogeneous solutions of a semilinear elliptic equation
• On the monotonicity of the period function of a quadratic system
• On the reversible quadratic centers with monotonic period function
• Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops
• Finiteness for critical periods of planar analytic vector fields
• The bifurcation set of the period function of the dehomogenized Loud's centers is bounded
• On the period function of planar systems with unknown normalizers
• Critical periods of perturbations of reversible rigidly isochronous centers

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