Reducing the number of time delays in coupled dynamical systems

被引：0
|
作者：
Alexandre Wagemakers
Javier Used
Miguel A. F. Sanjuán
机构：
[1] Nonlinear Dynamics,Department of Applied Informatics
[2] Chaos and Complex Systems Group,undefined
[3] Departamento de Física,undefined
[4] Universidad Rey Juan Carlos,undefined
[5] Kaunas University of Technology,undefined
[6] Institute for Physical Science and Technology,undefined
[7] University of Maryland,undefined
来源：
The European Physical Journal Special Topics | 2018年 / 227卷
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摘要：
When several dynamical systems interact, the transmission of the information between them necessarily implies a time delay. When the time delay is not negligible, the study of the dynamics of these interactions deserve a special treatment. We will show here that under certain assumptions, it is possible to reduce the number of time delays without altering the global dynamics. We will focus here on graphs of interactions with identical time delays and bidirectional connections. With these premises, it is possible to find a configuration where a number nz of time delays have been removed with nv − 1 ≤ nz ≤ nv2 /4, where nv is the number of dynamical systems on a connected graph.
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页码：1281 / 1289
页数：8
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