The center-focus problem and small amplitude limit cycles in rigid systems

DOI10.3934/dcds.2012.32.1627zbMath1245.34033OpenAlexW2324702887MaRDI QIDQ414772

Fabio Scalco Dias, Luis Fernando Mello

Publication date: 11 May 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.1627

zbMATH Keywords

limit cycleLyapunov coefficientcenter-focus problemrigid 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) 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)

Limit cycles in uniform isochronous centers of discontinuous differential systems with four zones ⋮ Rigid centres on the center manifold of tridimensional differential systems ⋮ Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers ⋮ Center conditions for a class of planar rigid polynomial differential systems ⋮ LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS ⋮ Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers

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