Europhys. Lett.
Volume 48, Number 5, December 1999
Page(s) 498 - 504
Section General
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00511-0

Europhys. Lett, 48 (5), pp. 498-504 (1999)

Coupled parametric oscillators

I. Bena and C. Van den Broeck

Limburgs Universitair Centrum - B-3590 Diepenbeek, Belgium

(received 26 May 1999; accepted in final form 30 September 1999)

PACS. 05.90$\rm +m$ - Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems.
PACS. 64.60$\rm -i$ - General studies of phase transitions.


The region of collective parametric instability for a set of coupled oscillators, subjected to periodic block pulses with random phases, is calculated analytically in the mean-field limit. An extremely rich phase diagram is obtained, with the instability appearing in a much wider region than that of the individual parametric resonance, and persisting in the overdamped limit.


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