The impact of competing time delays in coupled stochastic systems

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 phas...

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Bibliographic Details
Published in:Physics letters. A 2011-01, Vol.375 (5), p.880-885
Main Authors: Hunt, D., Korniss, G., Szymanski, B.K.
Format: Article
Language:English
Subjects:
Asymptotic properties
Boundaries
Delay
Phase boundaries
Scaling
Solid state physics
Stochastic synchronization and coordination
Stochastic systems
Synchronism
Synchronization
Time delay
Time delays
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Summary: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.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2010.12.060