Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2480
Title: Parametrically modulated oscillator dimer: an analytic solution
Authors: KAWAI, Ryoichi 
Lindenberg, K
VAN DEN BROECK, Christian 
Issue Date: 2002
Publisher: ELSEVIER SCIENCE BV
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 312(1-2). p. 119-140
Abstract: A dimer consisting of two coupled oscillators undergoing periodic parametric modulations with a phase difference 0 reveals a rich panorama of stability-instability boundaries as a function of the system parameters. It was recently established that the instabilities observed in such dimers with a phase difference theta = 0 and with a phase difference theta = pi qualitatively and even quantitatively capture a great deal of the behavior of a mean field model of coupled parametric oscillators with random phases that undergo collective parametric instabilities. These similarities were established numerically for lack of an analytic solution for the 0 = pi dimer. Herein we present an analytic solution for such a parametrically modulated dimer. We present the exact associated instability boundaries and thus improve on earlier ones generated by numerical simulations. (C) 2002 Elsevier Science B.V. All rights reserved.
Notes: Univ Calif San Diego, Inst Nonlinear Sci, Dept Chem & Biochem, La Jolla, CA 92093 USA. Univ Alabama, Dept Phys, Birmingham, AL 35294 USA. Limburg Univ Centrum, B-3590 Diepenbeek, Belgium.Lindenberg, K, Univ Calif San Diego, Inst Nonlinear Sci, Dept Chem & Biochem, La Jolla, CA 92093 USA.
Keywords: parametric oscillators; periodic modulation; resonance; instability
Document URI: http://hdl.handle.net/1942/2480
Link to publication: htyp://dx.doi.org/10.1016/S0378-4371(02)00966-4
ISSN: 0378-4371
e-ISSN: 1873-2119
ISI #: 000177992600011
Category: A1
Type: Journal Contribution
Validations: ecoom 2003
Appears in Collections:Research publications

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