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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/dataset: | 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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