Center Problems and Limit Cycle Bifurcations in a Class of Quasi-Homogeneous Systems

DOI10.1142/S0218127415501357zbMath1326.34069OpenAlexW2220234366MaRDI QIDQ3453706

Yanqin Xiong, Yong Wang, Mao'an Han

Publication date: 30 November 2015

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

Full work available at URL: https://doi.org/10.1142/s0218127415501357

zbMATH Keywords

cyclicityweight degreePoincaré bifurcationquasi-homogeneous polynomial differential 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) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) 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

On the Limit Cycles Bifurcating from Piecewise Quasi-Homogeneous Differential Center, Quasi-homogeneous polynomial differential systems having a center at the origin, Center Problem for Quasi-Homogeneous Polynomial Systems with a Given Weight Degree, Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems, An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems

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