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

132 Scopus citations

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
DOIs
StatePublished - 1996

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    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. https://doi.org/10.1103/PhysRevLett.77.5361