Eur. Phys. J. Special Topics 226, 3199–3210 (2017)
https://doi.org/10.1140/epjst/e2016-60357-6

Regular Article

Experimental study of the robust global synchronization of Brockett oscillators

¹ School of Mechanical, Aerospace & Automotive Engineering, Coventry University, Coventry CV1 5FB, UK
² Inria, Non-A team, 40 avenue Halley, 59650 Villeneuve d’Ascq, France

^a e-mail: ac7126@coventry.ac.uk

Received: 7 November 2016
Received in final form: 23 February 2017
Published online: 28 December 2017

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.