TitleTime Correlations in Mode Hopping of Coupled Oscillators
Publication TypeJournal Article
Year of Publication2017
AuthorsHeltberg ML, Krishna S, Jensen MH
JournalJournal of Statistical Physics
Date Published05/2017

We study the dynamics in a system of coupled oscillators when Arnold Tongues overlap. By varying the initial conditions, the deterministic system can be attracted to different limit cycles. Adding noise, the mode hopping between different states become a dominating part of the dynamics. We simplify the system through a Poincare section, and derive a 1D model to describe the dynamics. We explain that for some parameter values of the external oscillator, the time distribution of occupancy in a state is exponential and thus memoryless. In the general case, on the other hand, it is a sum of exponential distributions characteristic of a system with time correlations.