Parametric resonance in coupled oscillators driven by colored noiseR. V. Bobryk1, 2 and A. Chrzeszczyk1, 3
1 Institute of Mathematics, Swietokrzyska Academy Swietokrzyska 15, 25-406 Kielce, Poland
2 Institute APMM, National Academy of Sciences of Ukraine 79060 Lviv, Ukraine
3 WSU - 25-410 Kielce, Poland
received 2 March 2004; accepted in final form 1 September 2004
published online 16 October 2004
The parametric resonance in two coupled oscillators driven by a Gaussian colored parametric noise is investigated. It is shown that the resonance depends essentially on the form of coupling. The phenomenon is illustrated by stability diagrams, which are obtained numerically.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
02.50.Ey - Stochastic processes.
© EDP Sciences 2004