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.
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H. Ahmed, R. Ushirobira, D. Efimov, Robust global synchronization of brockett oscillators, Technical report, Inria Lille – Nord Europe, Nov. 2016, available online at: https://hal.inria.fr/hal-01391120
H. Ahmed, R. Ushirobira, D. Efimov, L. Fridman, Y. Wang, IFAC-PapersOnLine, 2017, to appear
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Ahmed, H., Ushirobira, R. & Efimov, D. Experimental study of the robust global synchronization of Brockett oscillators. Eur. Phys. J. Spec. Top. 226, 3199–3210 (2017). https://doi.org/10.1140/epjst/e2016-60357-6
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DOI: https://doi.org/10.1140/epjst/e2016-60357-6