Synchronization patterns in chains of N bi-directionally delayed coupled systems with delayed feedback are studied. Each system is hyperchaotic 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 between 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:
synchronization / time-delay / hyperchaotic
Source:
International Journal of Bifurcation and Chaos, 2006, 16, 5, 1569-1584
TY - JOUR
AU - Burić, Nikola
AU - Todorović, Kristina
PY - 2006
UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/688
AB - Synchronization patterns in chains of N bi-directionally delayed coupled systems with delayed feedback are studied. Each system is hyperchaotic 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 between 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 - World Scientific Publ Co Pte Ltd, Singapore
T2 - International Journal of Bifurcation and Chaos
T1 - Patterns of exact synchronization in chains of feedback loops with two characteristic time-lags
VL - 16
IS - 5
SP - 1569
EP - 1584
DO - 10.1142/S0218127406015519
ER -
@article{
author = "Burić, Nikola and Todorović, Kristina",
year = "2006",
abstract = "Synchronization patterns in chains of N bi-directionally delayed coupled systems with delayed feedback are studied. Each system is hyperchaotic 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 between 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 = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "International Journal of Bifurcation and Chaos",
title = "Patterns of exact synchronization in chains of feedback loops with two characteristic time-lags",
volume = "16",
number = "5",
pages = "1569-1584",
doi = "10.1142/S0218127406015519"
}
Burić, N.,& Todorović, K.. (2006). Patterns of exact synchronization in chains of feedback loops with two characteristic time-lags. in International Journal of Bifurcation and Chaos
World Scientific Publ Co Pte Ltd, Singapore., 16(5), 1569-1584.
https://doi.org/10.1142/S0218127406015519
Burić N, Todorović K. Patterns of exact synchronization in chains of feedback loops with two characteristic time-lags. in International Journal of Bifurcation and Chaos. 2006;16(5):1569-1584.
doi:10.1142/S0218127406015519 .
Burić, Nikola, Todorović, Kristina, "Patterns of exact synchronization in chains of feedback loops with two characteristic time-lags" in International Journal of Bifurcation and Chaos, 16, no. 5 (2006):1569-1584,
https://doi.org/10.1142/S0218127406015519 . .
