Experimental Huygens Synchronization of Oscillators

Abstract

Abstract. We present an experimental set-up that allows to study both controlled and uncontrolled synchronization between a variety of different type of oscillators. The setup consists of two fully actuated mass-damper-spring oscillators mounted on an actuated platform. By means of different types of feedback realized through computer controlled actuation it is possible to demonstrate different synchronization phenomena, i.e. synchronization of pendula, synchronization of Duffing oscillators, synchronization of rotating bodies, etc. Two experiments are presented where uncontrolled synchronization between two types of identical oscillators is investigated. First, uncontrolled synchronization between two Duffing oscillators is investigated and second, uncontrolled synchronization between two coupled rotating disks is discussed.

Resonance and Singularities

“…If one also wants to understand the phase and antiphase motions, the coupling between the clocks has to be included into the dynamics, compare with [9,76] and references therein.…”

Resonance and Fractal Geometry

“…If one also wants to understand the phase and anti-phase motions, the coupling between the clocks has to be included into the dynamics, compare with [9,76] and references therein. − For another application of these ideas in terms of circadian rhythms and the response to stimuli see [8].…”

Synchronization of coupled second-order Kuramoto oscillators

“…The reason for this anti-phase synchronization is the weak coupling of the clocks through the beam. For the modern studies of the Huygens synchronization, we refer to (Pogromsky et al, 2010;Blekhman et al, 1997;Pena Ramirez, 2013;Oliveira and Melo, 2015).…”