Transitions to Bubbling of Chaotic Systems
- University of Maryland, College Park, Maryland 20742 (United States)
- Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Box 90305, Durham, North Carolina 27708 (United States)
Certain dynamical systems (e.g., synchronized chaotic oscillators) 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 {open_quote}{open_quote}hard{close_quote}{close_quote} (the bursts appear abruptly with large amplitude) or {open_quote}{open_quote}soft{close_quote}{close_quote} (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. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 435240
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 27 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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