Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree

DOI10.1016/j.aim.2011.02.003zbMath1230.37028OpenAlexW2090727745MaRDI QIDQ531807

Jaume Llibre, Claudia Valls

Publication date: 20 April 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.02.003

zbMATH Keywords

centerisochronicityalgebraic setAbel differential equationPoincaré-Lyapunov constantspolynomial differential equationcenter space

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10)

Related Items

Centers for a class of generalized quintic polynomial differential systems, Averaging methods of arbitrary order, periodic solutions and integrability, Centralizers and normalizers of local analytic and formal vector fields, Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center, Center problem in the center manifold for quadratic and cubic differential systems in \(\mathbb{R}^3\), The period functions' higher order derivatives, Centers of quasi-homogeneous polynomial differential equations of degree three, Analytic integrability for some degenerate planar vector fields, Centers and isochronous centers for generalized quintic systems, Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\), On the Topology of Isochronous Centers of Hamiltonian Differential Systems, CENTER PROBLEM FOR THIRD-ORDER ODEs

Cites Work

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