GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH COLLINEAR OR INFINITELY MANY SINGULARITIES

DOI10.1142/S0218127412502732zbMath1258.34052OpenAlexW2002693421MaRDI QIDQ4908378

Magdalena Caubergh, Jaume Llibre, Joan Torregrosa

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412502732

zbMATH Keywords

center-focus problemcubic vector fieldsglobal classification of phase portraitsreversible planar vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (3)

Phase portraits of planar piecewise linear refracting systems: focus-saddle case ⋮ Centers and limit cycles of vector fields defined on invariant spheres ⋮ GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH NONCOLLINEAR SINGULARITIES

Cites Work

• Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
• Bifurcation at infinity in polynomial vector fields
• Quadratic systems with center and their perturbations
• Mathematical problems for the next century
• Qualitative theory of planar differential systems
• GLOBAL CLASSIFICATION OF A CLASS OF CUBIC VECTOR FIELDS WHOSE CANONICAL REGIONS ARE PERIOD ANNULI
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• On a certain generalization of Bautin's theorem

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