SYNCHRONIZATION IN NETWORKS OF SLIGHTLY NONIDENTICAL ELEMENTS-Reference-Cited by-同舟云学术

SYNCHRONIZATION IN NETWORKS OF SLIGHTLY NONIDENTICAL ELEMENTS

Published:2008-03 Issue:03 Volume:18 Page:845-850
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

HRAMOV ALEXANDER E.¹,KHRAMOVA ANASTASIYA E.¹,KORONOVSKII ALEXEY A.¹,BOCCALETTI STEFANO²

Affiliation:

1. Faculty of Nonlinear Processes, Saratov State University, Astrakhanskaya, 83, Saratov 410012, Russia

2. CNR – Istituto dei Sistemi Complessi, Via Madonna del Piano 10, 50019 Sesto Fiorentino, Floreence, Italy

Abstract

We study synchronization processes in networks of slightly nonidentical chaotic systems, for which a complete invariant synchronization manifold does not rigorously exist. We show and quantify how a slightly dispersed distribution in parameters can be properly modeled by a noise term affecting the stability of the synchronous invariant solution emerging for identical systems when the parameter is set at the mean value of the original distribution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127408020707

Reference16 articles.

1. Statistical mechanics of complex networks

2. Influence of noise near blowout bifurcation

3. The synchronization of chaotic systems

4. Synchronization is Enhanced in Weighted Complex Networks

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