Global phase portraits of some reversible cubic centers with collinear or infinitely many singularities

M. Caubergh*, J. Llibre, J. Torregrosa

*Autor corresponent d’aquest treball

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Resum

We study the reversible cubic vector fields of the form = -y + ax 2 + bxy + cy2 - y(x2 + y2), = x + dx2 + exy + fy2 + x(x2 + y2), having simultaneously a center at infinity and at the origin. In this paper, the subclass of these reversible systems having collinear or infinitely many singularities are classified with respect to topological equivalence.

Idioma originalEnglish
Número d’article1250273
RevistaInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volum22
Número11
DOIs
Estat de la publicacióPublicada - de nov. 2012

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