Phase-Induced (In)-Stability in Coupled Parametric Oscillators

Details Phase-Induced (In)-Stability in Coupled Parametric Oscillators Phase-Induced (In)-Stability in Coupled Parametric Oscillators

2000-08-02

arxiv.org/abs/cond-mat/0008022v1

Phys. Rev. E Vol. 63, 036605 (2001). (9 pages)

Physics

Condensed Matter

Statistical Mechanics

19 pages, 8 figures; a version with better quality figures can be found in http://hypatia.ucsd.edu/~mauro/English/publications

Scientific paper

10.1103/PhysRevE.63.036605

We report results on a model of two coupled oscillators that undergo periodic parametric modulations with a phase difference $\theta$. Being to a large extent analytically solvable, the model reveals a rich $\theta$ dependence of the regions of parametric resonance. In particular, the intuitive notion that anti-phase modulations are less prone to parametric resonance is confirmed for sufficiently large coupling and damping. We also compare our results to a recently reported mean field model of collective parametric instability, showing that the two-oscillator model can capture much of the qualitative behavior of the infinite system.

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