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.
TY - 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 . .
