The Impact of Competing Time Delays in Coupled Stochastic Systems

Details The Impact of Competing Time Delays in Coupled Stochastic Systems The Impact of Competing Time Delays in Coupled Stochastic Systems

2010-11-12

arxiv.org/abs/1011.2957v1

Phys. Lett. A 375, 880-885 (2011)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physleta.2010.12.060

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.

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