Experimental study of the robust global synchronization of Brockett oscillators

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov

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8 Downloads (Pure)

Abstract

This article studies the experimental synchronization of a family of a recently proposed oscillator model, i.e. the Brockett oscillator [R. Brockett, Synchronization without periodicity, in Mathematical Systems Theory, A Volume in Honor of U. Helmke, edited by K. Huper, J. Trumpf (CreateSpace, Seattle, USA, 2013), pp. 65–74]. Due to its structural property, Brockett oscillator can be considered as a promising benchmark nonlinear model for investigating synchronization and the consensus phenomena. Our experimental setup consists of analog circuit realizations of a network of Brockett oscillators. Experimental results obtained in this work correspond to the prior theoretical findings.
Original languageEnglish
Pages (from-to)3199-3210
Number of pages12
JournalThe European Physical Journal Special Topics
Volume226
Issue number15
DOIs
Publication statusPublished - Dec 2017

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synchronism
Synchronization
oscillators
Analog circuits
System theory
analog circuits
Structural properties
periodic variations

Bibliographical note

The final publication is available at Springer via http://dx.doi.org/10.1140/epjst/e2016-60357-6

Cite this

Experimental study of the robust global synchronization of Brockett oscillators. / Ahmed, Hafiz; Ushirobira, Rosane; Efimov, Denis .

In: The European Physical Journal Special Topics, Vol. 226, No. 15, 12.2017, p. 3199-3210.

Research output: Contribution to journalArticle

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