Intermittent behavior near the synchronization threshold in system with fluctuating control parameter
1 Saratov State University - Astrakhanskaya, 83, Saratov, 410012, Russia
2 Saratov State Technical University - Politechnicheskaja, 77, Saratov, 410054, Russia
Received: 12 November 2013
Accepted: 25 February 2014
In this paper the characteristics of the intermittent behavior observed near the synchronization threshold of a periodic oscillator driven by the external harmonic signal are studied in the case when the amplitude of the external signal fluctuates, i.e., it changes its value randomly in some moments of time. The analytical law for the distribution of the laminar phases lengths has been deduced. The very good agreement between the discovered theoretical law and the results of numerical simulation has been shown.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.Tp – Time series analysis / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2014