Transitions to bubbling of chaotic systems


Journal Article

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. © 1996 The American Physical Society.

Full Text

Cited Authors

  • Venkataramani, SC; Hunt, BR; Ott, E; Gauthier, DJ; Bienfang, JC

Published Date

  • January 1, 1996

Published In

Volume / Issue

  • 77 / 27

Start / End Page

  • 5361 - 5364

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/PhysRevLett.77.5361

Citation Source

  • Scopus