TY - JOUR
T1 - Understanding synchronization induced by "common noise"
AU - Guan, Shuguang
AU - Lai, Ying-Cheng
AU - Lai, C. H.
AU - Gong, Xiaofeng
N1 - Funding Information:
Y.C.L. was supported by AFOSR under Grants No. F49620-03-1-0219.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2006/4/17
Y1 - 2006/4/17
N2 - Noise-induced synchronization refers to the phenomenon where two uncoupled, independent nonlinear oscillators can achieve synchronization through a "common" noisy forcing. Here, "common" means identical. However, "common noise" is a construct which does not exist in practice. Noise by nature is unique and two noise signals cannot be exactly the same. How to justify and understand this central concept in noise-induced synchronization? What is the relation between noise-induced synchronization and the usual chaotic synchronization? Here we argue and demonstrate that noise-induced synchronization is closely related to generalized synchronization as characterized by the emergence of a functional relation between distinct dynamical systems through mutual interaction. We show that the same mechanism applies to the phenomenon of noise-induced (or chaos-induced) phase synchronization.
AB - Noise-induced synchronization refers to the phenomenon where two uncoupled, independent nonlinear oscillators can achieve synchronization through a "common" noisy forcing. Here, "common" means identical. However, "common noise" is a construct which does not exist in practice. Noise by nature is unique and two noise signals cannot be exactly the same. How to justify and understand this central concept in noise-induced synchronization? What is the relation between noise-induced synchronization and the usual chaotic synchronization? Here we argue and demonstrate that noise-induced synchronization is closely related to generalized synchronization as characterized by the emergence of a functional relation between distinct dynamical systems through mutual interaction. We show that the same mechanism applies to the phenomenon of noise-induced (or chaos-induced) phase synchronization.
UR - http://www.scopus.com/inward/record.url?scp=33645050384&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33645050384&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2005.11.067
DO - 10.1016/j.physleta.2005.11.067
M3 - Article
AN - SCOPUS:33645050384
SN - 0375-9601
VL - 353
SP - 30
EP - 33
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -