Multistability, Basin Boundary Structure, and Chaotic Behavior in a Suspension Bridge Model

Celso Grebogi, R. L. Viana, M. S. T. Freitas

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

We consider the dynamics of the first vibrational mode of a suspension bridge, resulting from the coupling between its roadbed (elastic beam) and the hangers, supposed to be one-sided springs which respond only to stretching. The external forcing is due to time-periodic vortices produced by impinging wind on the bridge structure. We have studied some relevant dynamical phenomena in such a system, like periodic and quasiperiodic responses, chaotic motion, and boundary crises. In the weak dissipative limit the dynamics is mainly multistable, presenting a variety of coexisting attractors, both periodic and chaotic, with a highly involved basin of attraction structure.

Original languageEnglish
Pages (from-to)927-950
Number of pages23
JournalInternational Journal of Bifurcation and Chaos
Volume14
Publication statusPublished - 2004

Keywords

  • multistability
  • chaos
  • basin boundaries
  • suspension bridge
  • NONLINEAR DYNAMICS
  • GRAZING BIFURCATIONS
  • PERIODIC ATTRACTORS
  • IMPACT OSCILLATOR
  • LINEAR-OSCILLATOR
  • SYSTEMS
  • MAP

Cite this

Multistability, Basin Boundary Structure, and Chaotic Behavior in a Suspension Bridge Model. / Grebogi, Celso; Viana, R. L.; Freitas, M. S. T.

In: International Journal of Bifurcation and Chaos, Vol. 14, 2004, p. 927-950.

Research output: Contribution to journalArticle

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N2 - We consider the dynamics of the first vibrational mode of a suspension bridge, resulting from the coupling between its roadbed (elastic beam) and the hangers, supposed to be one-sided springs which respond only to stretching. The external forcing is due to time-periodic vortices produced by impinging wind on the bridge structure. We have studied some relevant dynamical phenomena in such a system, like periodic and quasiperiodic responses, chaotic motion, and boundary crises. In the weak dissipative limit the dynamics is mainly multistable, presenting a variety of coexisting attractors, both periodic and chaotic, with a highly involved basin of attraction structure.

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