Synchronization of noisy delayed feedback systems with delayed coupling
Abstract
Synchronization of delayed coupled and stochastically perturbed systems with delayed nonlinear feedback is studied, using as an example circular chains of three and four delayed coupled Ikeda oscillators. It is proved that in the case of multiplicative noise the exact synchronization in the mean occurs for sufficiently large coupling, and an analytic estimate of the sufficient coupling is given. The sufficiency condition is compared with numerical computations, and typical effects of noise on the exact and some generalized types of synchronization are illustrated.
Source:
Physical Review E, 2007, 75, 2Publisher:
- American Physical Soc, College Pk
Funding / projects:
- Kvantna i optička interferometrija (RS-141003)
DOI: 10.1103/PhysRevE.75.026209
ISSN: 1539-3755
PubMed: 17358407
WoS: 000244532000023
Scopus: 2-s2.0-33847279343
Collections
Institution/Community
PharmacyTY - JOUR AU - Burić, Nikola AU - Todorović, Kristina AU - Vasović, Nebojša PY - 2007 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/951 AB - Synchronization of delayed coupled and stochastically perturbed systems with delayed nonlinear feedback is studied, using as an example circular chains of three and four delayed coupled Ikeda oscillators. It is proved that in the case of multiplicative noise the exact synchronization in the mean occurs for sufficiently large coupling, and an analytic estimate of the sufficient coupling is given. The sufficiency condition is compared with numerical computations, and typical effects of noise on the exact and some generalized types of synchronization are illustrated. PB - American Physical Soc, College Pk T2 - Physical Review E T1 - Synchronization of noisy delayed feedback systems with delayed coupling VL - 75 IS - 2 DO - 10.1103/PhysRevE.75.026209 ER -
@article{ author = "Burić, Nikola and Todorović, Kristina and Vasović, Nebojša", year = "2007", abstract = "Synchronization of delayed coupled and stochastically perturbed systems with delayed nonlinear feedback is studied, using as an example circular chains of three and four delayed coupled Ikeda oscillators. It is proved that in the case of multiplicative noise the exact synchronization in the mean occurs for sufficiently large coupling, and an analytic estimate of the sufficient coupling is given. The sufficiency condition is compared with numerical computations, and typical effects of noise on the exact and some generalized types of synchronization are illustrated.", publisher = "American Physical Soc, College Pk", journal = "Physical Review E", title = "Synchronization of noisy delayed feedback systems with delayed coupling", volume = "75", number = "2", doi = "10.1103/PhysRevE.75.026209" }
Burić, N., Todorović, K.,& Vasović, N.. (2007). Synchronization of noisy delayed feedback systems with delayed coupling. in Physical Review E American Physical Soc, College Pk., 75(2). https://doi.org/10.1103/PhysRevE.75.026209
Burić N, Todorović K, Vasović N. Synchronization of noisy delayed feedback systems with delayed coupling. in Physical Review E. 2007;75(2). doi:10.1103/PhysRevE.75.026209 .
Burić, Nikola, Todorović, Kristina, Vasović, Nebojša, "Synchronization of noisy delayed feedback systems with delayed coupling" in Physical Review E, 75, no. 2 (2007), https://doi.org/10.1103/PhysRevE.75.026209 . .