000057942 001__ 57942
000057942 005__ 20170327111841.0
000057942 0247_ $$2doi$$a10.1063/1.4871712
000057942 0248_ $$2sideral$$a85121
000057942 037__ $$aART-2014-85121
000057942 041__ $$aeng
000057942 100__ $$0(orcid)0000-0001-5484-6536$$aBlesa Moreno, Fernando$$uUniversidad de Zaragoza
000057942 245__ $$aUnbounded dynamics in dissipative flows: Rössler model
000057942 260__ $$c2014
000057942 5060_ $$aAccess copy available to the general public$$fUnrestricted
000057942 5203_ $$aTransient 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.
000057942 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883
000057942 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000057942 590__ $$a1.954$$b2014
000057942 591__ $$aPHYSICS, MATHEMATICAL$$b9 / 54 = 0.167$$c2014$$dQ1$$eT1
000057942 591__ $$aMATHEMATICS, APPLIED$$b17 / 255 = 0.067$$c2014$$dQ1$$eT1
000057942 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000057942 700__ $$0(orcid)0000-0002-8089-343X$$aBarrio, Roberto$$uUniversidad de Zaragoza
000057942 700__ $$0(orcid)0000-0002-5701-1670$$aSerrano, Sergio$$uUniversidad de Zaragoza
000057942 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDepartamento de Matemática Aplicada$$cMatemática Aplicada
000057942 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDepartamento de Física Aplicada$$cFísica Aplicada
000057942 773__ $$g24 (2014), 024407 [13 pp]$$pChaos$$tCHAOS$$x1054-1500
000057942 8564_ $$s2326003$$uhttp://zaguan.unizar.es/record/57942/files/texto_completo.pdf$$yVersión publicada
000057942 8564_ $$s136807$$uhttp://zaguan.unizar.es/record/57942/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000057942 909CO $$ooai:zaguan.unizar.es:57942$$particulos$$pdriver
000057942 951__ $$a2016-12-20-09:41:36
000057942 980__ $$aARTICLE