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Title: Collective behavior of parametric oscillators
Authors: BENA, Ioana 
VAN DEN BROECK, Christian 
KAWAI, Ryoichi 
Copelli, M
Lindenberg, K
Issue Date: 2002
Source: PHYSICAL REVIEW E, 65(3)
Abstract: We revisit the mean-field model of globally and harmonically coupled parametric oscillators subject to periodic block pulses with initially random phases. The phase diagram of regions of collective parametric instability is presented, as is a detailed characterization of the motions underlying these instabilities. This presentation includes regimes not identified in earlier work [I. Bena and C. Van den Broeck, Europhys. Lett. 48, 498 (1999)]. In addition to the familiar parametric instability of individual oscillators, two kinds of collective instabilities are identified. In one the mean amplitude diverges monotonically while in the other the divergence is oscillatory. The frequencies of collective oscillatory instabilities in general bear no simple relation to the eigenfrequencies of the individual oscillators nor to the frequency of the external modulation. Numerical simulations show that systems with only nearest-neighbor coupling have collective instabilities similar to those of the mean-field model. Many of the mean-field results are already apparent in a simple dimer [M. Copelli and K. Lindenberg, Phys. Rev. E 63, 036605 (2001)].
Notes: Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium. Univ Alabama, Dept Phys, Birmingham, AL 35294 USA. Univ Calif San Diego, Dept Chem & Biochem 0340, La Jolla, CA 92093 USA. Univ Calif San Diego, Inst Nonlinear Sci, La Jolla, CA 92093 USA.Bena, I, Limburgs Univ Ctr, Univ Campus, B-3590 Diepenbeek, Belgium.
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ISSN: 1063-651X
DOI: 10.1103/PhysRevE.65.036611
ISI #: 000174549000052
Category: A1
Type: Journal Contribution
Validations: ecoom 2003
Appears in Collections:Research publications

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