Synchronizing Huygens's clocks
Adaptation and Self-Organizing Systems
2008-02-08 v1 Chaotic Dynamics
Abstract
We introduce an interaction mechanism between oscillators leading to exact anti-phase and in-phase synchronization. This mechanism is applied to the coupling between two nonlinear oscillators with a limit cycle in phase space, leading to a simple justification of the anti-phase synchronization observed in the Huygens's pendulum clocks experiment. If the two coupled nonlinear oscillators reach the anti-phase or the in-phase synchronized oscillatory state, the period of oscillation is different from the eigen-periods of the uncoupled oscillators.
Cite
@article{arxiv.0802.1024,
title = {Synchronizing Huygens's clocks},
author = {Rui Dilao},
journal= {arXiv preprint arXiv:0802.1024},
year = {2008}
}
Comments
4 pages, 4 figures