Transitions to bubbling of chaotic systems

Shankar C Venkataramani, Brian R. Hunt, Edward Ott, Daniel J. Gauthier, Joshua C. Bienfang

Research output: Contribution to journalArticle

129 Citations (Scopus)

Abstract

Certain dynamical systems exhibit a phenomenon called bubbling, whereby small perturbations induce intermittent bursting. In this Letter we show that, as a parameter is varied through a critical value, the transition to bubbling can be "hard" (the bursts appear abruptly with large amplitude) or "soft" (the maximum burst amplitude increases continuously from zero), and that the presence or absence of symmetry in the unperturbed system has a fundamental effect on these transitions. These results are confirmed by numerical and physical experiments.

Original languageEnglish (US)
Pages (from-to)5361-5364
Number of pages4
JournalPhysical Review Letters
Volume77
Issue number27
StatePublished - 1996
Externally publishedYes

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bursts
dynamical systems
perturbation
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Venkataramani, S. C., Hunt, B. R., Ott, E., Gauthier, D. J., & Bienfang, J. C. (1996). Transitions to bubbling of chaotic systems. Physical Review Letters, 77(27), 5361-5364.

Transitions to bubbling of chaotic systems. / Venkataramani, Shankar C; Hunt, Brian R.; Ott, Edward; Gauthier, Daniel J.; Bienfang, Joshua C.

In: Physical Review Letters, Vol. 77, No. 27, 1996, p. 5361-5364.

Research output: Contribution to journalArticle

Venkataramani, SC, Hunt, BR, Ott, E, Gauthier, DJ & Bienfang, JC 1996, 'Transitions to bubbling of chaotic systems', Physical Review Letters, vol. 77, no. 27, pp. 5361-5364.
Venkataramani SC, Hunt BR, Ott E, Gauthier DJ, Bienfang JC. Transitions to bubbling of chaotic systems. Physical Review Letters. 1996;77(27):5361-5364.
Venkataramani, Shankar C ; Hunt, Brian R. ; Ott, Edward ; Gauthier, Daniel J. ; Bienfang, Joshua C. / Transitions to bubbling of chaotic systems. In: Physical Review Letters. 1996 ; Vol. 77, No. 27. pp. 5361-5364.
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