Effects of time delay in the synchronized motion of oscillators with Huygens' coupling

J. Pena Ramirez, A. Alvarez Aguirre, R.H.B. Fey, H. Nijmeijer

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Abstract

In this paper, the well known Huygens' experiment on synchronization is examined, numerically and experimentally, from a control point of view. Namely, a suitable control input is applied to a pair of self-sustained oscillators such that the closed-loop system resembles a pair of oscillators with Huygens' coupling. The case where the interaction between the oscillators and the control input is time delayed is analyzed. In particular, the onset of in-phase and anti-phase synchronization in the coupled/controlled oscillators is studied as a function of the coupling strength and the time delay. An eigenvalue-based numerical test is used as a first step to investigate the stability of the anti-phase synchronized motion and experimental validation is provided.
Original languageEnglish
Title of host publication3rd IFAC Conference on analysis and control of chaotic systems (3rd IFAC CHAOS Conference)
Place of PublicationCancún, México
Publication statusPublished - 2012
Event3rd IFAC Conference on Analysis and Control of Chaotic Systems (IFAC CHAOS 2012) - Cancun, Mexico
Duration: 20 Jun 201222 Jun 2012

Conference

Conference3rd IFAC Conference on Analysis and Control of Chaotic Systems (IFAC CHAOS 2012)
Abbreviated titleIFAC CHAOS 2012
CountryMexico
CityCancun
Period20/06/1222/06/12

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    Pena Ramirez, J., Alvarez Aguirre, A., Fey, R. H. B., & Nijmeijer, H. (2012). Effects of time delay in the synchronized motion of oscillators with Huygens' coupling. In 3rd IFAC Conference on analysis and control of chaotic systems (3rd IFAC CHAOS Conference)