| Autor: |
Wagemakers, Alexandre, Used, Javier, Sanjuán, Miguel A. F. |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Eur. Phys. J. Spec. Top. (2018) 227: 1281 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1140/epjst/e2018-800044-x |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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