A scenario for torus T-2 destruction via a global bifurcation

T Pereira, M S Baptista, M B Reyes, I L Caldas, J C Sartorelli, J Kurths

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We show a scenario of a two-frequeney torus breakdown, in which a global bifurcation occurs due to the collision of a quasi-periodic torus T-2 with saddle points, creating a heteroclinic saddle connection. We analyze the geometry of this torus-saddle collision by showing the local dynamics and the invariant manifolds (global dynamics) of the saddle points. Moreover, we present detailed evidences of a heteroclinic saddle-focus orbit responsible for the type-if intermittency induced by this global bifurcation. We also characterize this transition to chaos by measuring the Lyapunov exponents and the scaling laws. (C) 2007 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)2198-2210
Number of pages13
JournalChaos, Solitons & Fractals
Volume39
Issue number5
DOIs
Publication statusPublished - 15 Mar 2009

Keywords

  • dissipative dynamical-systems
  • periodic-orbits
  • attractors
  • turbulence
  • driven

Cite this

Pereira, T., Baptista, M. S., Reyes, M. B., Caldas, I. L., Sartorelli, J. C., & Kurths, J. (2009). A scenario for torus T-2 destruction via a global bifurcation. Chaos, Solitons & Fractals, 39(5), 2198-2210. https://doi.org/10.1016/j.chaos.2007.06.115

A scenario for torus T-2 destruction via a global bifurcation. / Pereira, T; Baptista, M S; Reyes, M B; Caldas, I L; Sartorelli, J C; Kurths, J.

In: Chaos, Solitons & Fractals, Vol. 39, No. 5, 15.03.2009, p. 2198-2210.

Research output: Contribution to journalArticle

Pereira, T, Baptista, MS, Reyes, MB, Caldas, IL, Sartorelli, JC & Kurths, J 2009, 'A scenario for torus T-2 destruction via a global bifurcation' Chaos, Solitons & Fractals, vol. 39, no. 5, pp. 2198-2210. https://doi.org/10.1016/j.chaos.2007.06.115
Pereira, T ; Baptista, M S ; Reyes, M B ; Caldas, I L ; Sartorelli, J C ; Kurths, J. / A scenario for torus T-2 destruction via a global bifurcation. In: Chaos, Solitons & Fractals. 2009 ; Vol. 39, No. 5. pp. 2198-2210.
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