57942 20170327111841.0 doi 10.1063/1.4871712 sideral 85121 ART-2014-85121 eng (orcid)0000-0001-5484-6536 Blesa Moreno, Fernando Universidad de Zaragoza Unbounded dynamics in dissipative flows: Rössler model 2014 Access copy available to the general public Unrestricted Transient chaos and unbounded dynamics are two outstanding phenomena that dominate in chaotic systems with large regions of positive and negative divergences. Here, we investigate the mechanism that leads the unbounded dynamics to be the dominant behavior in a dissipative flow. We describe in detail the particular case of boundary crisis related to the generation of unbounded dynamics. The mechanism of the creation of this crisis in flows is related to the existence of an unstable focus-node (or a saddle-focus) equilibrium point and the crossing of a chaotic invariant set of the system with the weak-(un)stable manifold of the equilibrium point. This behavior is illustrated in the well-known Rössler model. The numerical analysis of the system combines different techniques as chaos indicators, the numerical computation of the bounded regions, and bifurcation analysis. For large values of the parameters, the system is studied by means of Fenichel's theory, providing formulas for computing the slow manifold which influences the evolution of the first stages of the orbit. info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.954 2014 PHYSICS, MATHEMATICAL 9 / 54 = 0.167 2014 Q1 T1 MATHEMATICS, APPLIED 17 / 255 = 0.067 2014 Q1 T1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0002-8089-343X Barrio, Roberto Universidad de Zaragoza (orcid)0000-0002-5701-1670 Serrano, Sergio Universidad de Zaragoza 2005 595 Universidad de Zaragoza Departamento de Matemática Aplicada Matemática Aplicada 2002 385 Universidad de Zaragoza Departamento de Física Aplicada Física Aplicada 24 (2014), 024407 [13 pp] Chaos CHAOS 1054-1500 2326003 http://zaguan.unizar.es/record/57942/files/texto_completo.pdf Versión publicada 136807 http://zaguan.unizar.es/record/57942/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:57942 articulos driver 2016-12-20-09:41:36 ARTICLE