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arXiv · 1011.2957

The Impact of Competing Time Delays in Coupled Stochastic Systems

D. Hunt·G. Korniss·B. K. Szymanski
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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.

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D. Hunt, G. Korniss, B. K. Szymanski. 2010-11-12. The Impact of Competing Time Delays in Coupled Stochastic Systems. https://doi.org/10.1016/j.physleta.2010.12.060

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