The Impact of Competing Time Delays in Coupled Stochastic Systems
Statistical Mechanics
2011-01-12 v1 Chaotic Dynamics
Abstract
We study the impact of competing time delays in coupled stochastic synchronization and coordination problems. We consider two types of delays: transmission delays between interacting elements and processing, cognitive, or execution delays at each element. We establish the scaling theory for the phase boundary of synchronization and for the steady-state fluctuations in the synchronizable regime. Further, we provide the asymptotic behavior near the boundary of the synchronizable regime. Our results also imply the potential for optimization and trade-offs in synchronization problems with time delays.
Keywords
Cite
@article{arxiv.1011.2957,
title = {The Impact of Competing Time Delays in Coupled Stochastic Systems},
author = {D. Hunt and G. Korniss and B. K. Szymanski},
journal= {arXiv preprint arXiv:1011.2957},
year = {2011}
}