Global phase portraits of ℤ2-symmetric planar polynomial Hamiltonian systems of degree three with a nilpotent saddle at the origin
Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)

Additional title:	Global phase portraits of ℤ2-symmetric planar polynomial Hamiltonian systems of degree 3 with a nilpotent saddle at the origin
Date:	2020
Abstract:	We characterize the phase portraits in the Poincaré disk of all planar polynomial Hamiltonian systems of degree three with a nilpotent saddle at the origin and ℤ2-symmetric with (x,y)→(-x,y).
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Polynomial Hamiltonian systems ; Nilpotent saddle ; Phase portrait ; Poincaré compactification
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 1 (January 2020) , art. 2050006, ISSN 1793-6551

DOI: 10.1142/S0218127420500066

Postprint 47 p, 886.5 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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