Synchronization patterns in chains of N bi-directionally delayed coupled systems with delayed feedback are studied in this paper. Each system is hyper-chaotic when decoupled from the chain. It is shown that chains with odd or even number of cites N display different spatial patterns of stable exact synchronization. When N is odd the only stable pattern of exact synchronization is among all of the units. When N is even, next to the nearest neighbors could become exactly synchronized, with the dynamics of the nearest neighbors related in a more complicated way. Sufficiently strong coupling leads to the nearest neighbor synchronization also for even N. No other patterns have been observed.
Keywords:
Time lag / synchronization / hyper-chaotic system / Ikeda model / Mackey-Glass model
Source:
9th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2008 Proceedings, 2008, 51-
TY - CONF
AU - Burić, Nikola
AU - Todorović, Kristina
AU - Vasović, Nebojša
AU - Samcović, Andreja
PY - 2008
UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1044
AB - Synchronization patterns in chains of N bi-directionally delayed coupled systems with delayed feedback are studied in this paper. Each system is hyper-chaotic when decoupled from the chain. It is shown that chains with odd or even number of cites N display different spatial patterns of stable exact synchronization. When N is odd the only stable pattern of exact synchronization is among all of the units. When N is even, next to the nearest neighbors could become exactly synchronized, with the dynamics of the nearest neighbors related in a more complicated way. Sufficiently strong coupling leads to the nearest neighbor synchronization also for even N. No other patterns have been observed.
PB - IEEE, New York
C3 - 9th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2008 Proceedings
T1 - Synchronization Patterns in Neural Chains based on Hyper-Chaotic Cells
SP - 51
DO - 10.1109/NEUREL.2008.4685559
ER -
@conference{
author = "Burić, Nikola and Todorović, Kristina and Vasović, Nebojša and Samcović, Andreja",
year = "2008",
abstract = "Synchronization patterns in chains of N bi-directionally delayed coupled systems with delayed feedback are studied in this paper. Each system is hyper-chaotic when decoupled from the chain. It is shown that chains with odd or even number of cites N display different spatial patterns of stable exact synchronization. When N is odd the only stable pattern of exact synchronization is among all of the units. When N is even, next to the nearest neighbors could become exactly synchronized, with the dynamics of the nearest neighbors related in a more complicated way. Sufficiently strong coupling leads to the nearest neighbor synchronization also for even N. No other patterns have been observed.",
publisher = "IEEE, New York",
journal = "9th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2008 Proceedings",
title = "Synchronization Patterns in Neural Chains based on Hyper-Chaotic Cells",
pages = "51",
doi = "10.1109/NEUREL.2008.4685559"
}
Burić, N., Todorović, K., Vasović, N.,& Samcović, A.. (2008). Synchronization Patterns in Neural Chains based on Hyper-Chaotic Cells. in 9th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2008 Proceedings
IEEE, New York., 51.
https://doi.org/10.1109/NEUREL.2008.4685559
Burić N, Todorović K, Vasović N, Samcović A. Synchronization Patterns in Neural Chains based on Hyper-Chaotic Cells. in 9th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2008 Proceedings. 2008;:51.
doi:10.1109/NEUREL.2008.4685559 .
Burić, Nikola, Todorović, Kristina, Vasović, Nebojša, Samcović, Andreja, "Synchronization Patterns in Neural Chains based on Hyper-Chaotic Cells" in 9th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2008 Proceedings (2008):51,
https://doi.org/10.1109/NEUREL.2008.4685559 . .
