DERIVATION OF ISOCHRONICITY CONDITIONS FOR QUASI-CUBIC HOMOGENEOUS ANALYTIC SYSTEMS

DOI10.1142/S0218127413501496zbMath1277.34036OpenAlexW1994133903MaRDI QIDQ2866051

Feng Li, Yusen Wu, Pei-Luan Li

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/s0218127413501496

zbMATH Keywords

isochronous centerperiod constantquasi-cubic analytic system

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)

Uses Software

• Mathematica

Cites Work

• Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities
• Cubic systems and Abel equations
• Center problem for several differential equations via Cherkas' method
• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• An explicit expression of the first Lyapunov and period constants with applications
• A new method to determine isochronous center conditions for polynomial differential systems.
• Center and isochronous center at infinity for differential systems.
• The constrained solutions of two matrix equations
• A class of reversible cubic systems with an isochronous center
• One-point extensions of \(t\)-Koszul algebras.

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