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arXiv · 1804.07165

Reducing the number of time delays in coupled dynamical systems

Alexandre Wagemakers·Javier Used·Miguel A. F. Sanjuán
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Abstract

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 set to zero a significant amount of time-delayed connections without altering the global dynamics. We will focus on graphs of interactions with identical time delays and bidirectional connections. With these premises, it is possible to find a configuration where a number $n_z$ of time delays have been removed with $n_v-1 \leq n_z \leq n_v^2/4$, where $n_v$ is the number of dynamical systems on a connected graph.

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Alexandre Wagemakers, Javier Used, Miguel A. F. Sanjuán. 2018-04-18. Reducing the number of time delays in coupled dynamical systems. https://doi.org/10.1140/epjst/e2018-800044-x

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