Synchronization and partial synchronization in a network of identical systems

A.Y. Pogromski; G. Santoboni; H. Nijmeijer

Synchronization and partial synchronization in a network of identical systems

A.Y. Pogromski, G. Santoboni, H. Nijmeijer

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

In this paper we consider the problem of the existence andstability of invariant manifolds in a network of diffusivelycoupled identical systems. It is shown that the existence of asymmetry in the network implies the existence of linear invariantmanifolds. This correspond to so called partialsynchronization, or clusterization, a phenomenon occurringwhen some subsystems from the network operate in a synchronousmanner. Conditions guaranteeing global asymptotic stability of thepartial synchronization manifolds are presented.

Original language	English
Title of host publication	10th workshop on nonlinear dynamics of electronic systems ; 12-13 June 2002, Urla, Izmir, Turkey
Editors	F.A. Savaci
Pages	1-11
Publication status	Published - 2002

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title = "Synchronization and partial synchronization in a network of identical systems",

abstract = "In this paper we consider the problem of the existence andstability of invariant manifolds in a network of diffusivelycoupled identical systems. It is shown that the existence of asymmetry in the network implies the existence of linear invariantmanifolds. This correspond to so called partialsynchronization, or clusterization, a phenomenon occurringwhen some subsystems from the network operate in a synchronousmanner. Conditions guaranteeing global asymptotic stability of thepartial synchronization manifolds are presented.",

author = "A.Y. Pogromski and G. Santoboni and H. Nijmeijer",

year = "2002",

language = "English",

isbn = "975-6590001-7",

pages = "1--11",

editor = "F.A. Savaci",

booktitle = "10th workshop on nonlinear dynamics of electronic systems ; 12-13 June 2002, Urla, Izmir, Turkey",

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Synchronization and partial synchronization in a network of identical systems. / Pogromski, A.Y.; Santoboni, G.; Nijmeijer, H.
10th workshop on nonlinear dynamics of electronic systems ; 12-13 June 2002, Urla, Izmir, Turkey. ed. / F.A. Savaci. 2002. p. 1-11.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Synchronization and partial synchronization in a network of identical systems

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AU - Santoboni, G.

AU - Nijmeijer, H.

PY - 2002

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N2 - In this paper we consider the problem of the existence andstability of invariant manifolds in a network of diffusivelycoupled identical systems. It is shown that the existence of asymmetry in the network implies the existence of linear invariantmanifolds. This correspond to so called partialsynchronization, or clusterization, a phenomenon occurringwhen some subsystems from the network operate in a synchronousmanner. Conditions guaranteeing global asymptotic stability of thepartial synchronization manifolds are presented.

AB - In this paper we consider the problem of the existence andstability of invariant manifolds in a network of diffusivelycoupled identical systems. It is shown that the existence of asymmetry in the network implies the existence of linear invariantmanifolds. This correspond to so called partialsynchronization, or clusterization, a phenomenon occurringwhen some subsystems from the network operate in a synchronousmanner. Conditions guaranteeing global asymptotic stability of thepartial synchronization manifolds are presented.

M3 - Conference contribution

SN - 975-6590001-7

SP - 1

EP - 11

BT - 10th workshop on nonlinear dynamics of electronic systems ; 12-13 June 2002, Urla, Izmir, Turkey

A2 - Savaci, F.A.

ER -

Synchronization and partial synchronization in a network of identical systems

Abstract

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