期刊
PHYSICS LETTERS A
卷 375, 期 5, 页码 880-885出版社
ELSEVIER
DOI: 10.1016/j.physleta.2010.12.060
关键词
Stochastic synchronization and coordination; Time delays; Scaling
资金
- DTRA [HDTRA1-09-1-0049]
- Army Research Laboratory [W911NF-09-2-0053]
- Office of Naval Research [N00014-09-1-0607]
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. (C) 2010 Elsevier B.V. All rights reserved.
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