An experimental study on synchronization of nonlinear oscillators with Huygens' coupling

J. Pena Ramirez, R.H.B. Fey, H. Nijmeijer

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Abstract

In this experimental study, phase synchronization is studied in pairs of nonlinear oscillators coupled through a movable support. In particular, the dynamics of two discontinuous mass-spring-damper oscillators and the dynamics of the classical Huygens' pendulum clocks are considered. In both systems the individual oscillators are self-sustained. It is shown that in both cases, the oscillators exhibit in-phase and anti-phase synchronization. All experiments are executed on a new experimental setup consisting of two controllable mass-spring-damper oscillators coupled through an elastically supported rigid bar. The results suggest, that the synchronized motion observed by Christiaan Huygens around 1650 in a pair of pendulum clocks mounted on a flexible support, in many cases can also be observed when the pendulum clocks are replaced by other self-sustained nonlinear oscillators.
Original languageEnglish
Pages (from-to)128-142
Number of pages15
JournalNonlinear Theory and Its Applications
Volume3
Issue number2
DOIs
Publication statusPublished - 2012

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