Global dynamics of the Rossler system with conserved quantities
Lima, Mauricio Firmino Silva (Universidade Federal do ABC(Brazil). Centro de Matemática Computacâo e Cognicâo)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2011
Abstract:	The subject of this paper concerns with a class of Rössler systems that admits conserved quantities. For this class of systems a complete description of the global dynamics in the Poincaré sphere is provided.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The first author is partially supported by CNPq grant number 200293/2010-9. Both authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Equilibrium point ; First integral ; Invariant manifolds ; Periodic orbit ; Homoclinic orbit ; Poincaré compactification ; Poincaré sphere ; Rössler system
Published in:	Journal of Physics. A. Mathematical and General, Vol. 44 Núm. 36 (2011) , p. 365201, ISSN 1361-6447

DOI: 10.1088/1751-8113/44/36/365201

Postprint 15 p, 389.8 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles