Patterns of exact synchronization in chains of feedback loops with two characteristic time-lags
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2006
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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.
Ključne reči:
synchronization / time-delay / hyperchaoticIzvor:
International Journal of Bifurcation and Chaos, 2006, 16, 5, 1569-1584Izdavač:
- World Scientific Publ Co Pte Ltd, Singapore
DOI: 10.1142/S0218127406015519
ISSN: 0218-1274
WoS: 000240247900017
Scopus: 2-s2.0-33747499518
Institucija/grupa
PharmacyTY - 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 . .