Home > Articles > Published articles > Global phase portraits of some reversible cubic centers with collinear or infinitely many singularities |
Date: | 2012 |
Abstract: | We study the reversible cubic vector fields of the form ˙x = −y + ax2 + bxy + cy2 − y(x2 + y2), y˙ = 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 and diffeomorphic equivalence. |
Grants: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Note: | Agraïments: Furthermore the first author also is supported by the Juan de la Cierva grant number JCI-2007-49-764 and the second author also is partially supported by ICREA Academia. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Center-focus problem ; Reversible planar vector fields ; Cubic vector fields ; Global classification of phase portraits |
Published in: | International journal of bifurcation and chaos in applied sciences and engineering, Vol. 22 Núm. 11 (2012) , p. 1250273 (20 pages), ISSN 1793-6551 |
Postprint 23 p, 2.0 MB |