GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH NONCOLLINEAR SINGULARITIES

DOI10.1142/S0218127413501617zbMath1277.34032MaRDI QIDQ2866063

Magdalena Caubergh, Joan Torregrosa

Publication date: 13 December 2013

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

zbMATH Keywords

bifurcation diagramcubic vector fieldglobal classification of phase portraitsreversible planar vector field

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) Bifurcation theory for ordinary differential equations (34C23)

Related Items (1)

Centers and limit cycles of vector fields defined on invariant spheres

Cites Work

• Global dynamics of a cubic Hamiltonian system with a periodic annulus linked to equilibria at infinity
• Bifurcation at infinity in polynomial vector fields
• The classification on the global phase portraits of two-dimensional Lotka-Volterra system
• Global phase portraits of a SIS model
• GLOBAL PHASE PORTRAITS OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A SEMI-ELEMENTAL TRIPLE NODE
• THE GEOMETRY OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS AND AN INVARIANT STRAIGHT LINE
• 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
• GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH COLLINEAR OR INFINITELY MANY SINGULARITIES
• THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER

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