Why two clocks synchronize: Energy balance of the synchronized clocks

K Czołczyński, P Perlikowski, A Stefański… - … Journal of Nonlinear …, 2011 - pubs.aip.org
… both in-phase and antiphase synchronization of the clocks. Additionally, we show the
possibility of the long period generalized synchronization and chaotic behavior of the pendulums. …

Further understanding of Huygens' coupled clocks: The effect of stiffness

JP Ramirez, K Aihara, RHB Fey, H Nijmeijer - Physica D: Nonlinear …, 2014 - Elsevier
… If the metronomes synchronize (in-phase or in anti-phase), what is then the … case for the
coupled pendula. … For the case of in-phase synchronization, the sign of the real parts of the roots …

Clustering of non-identical clocks

K Czołczyński, P Perlikowski, A Stefańki… - … of theoretical physics, 2011 - academic.oup.com
… reach the antiphase or the in-phase synchronization, the … ’ clock experiment, the so-called
coupled pendula of the … in-phase and antiphase synchronizations of the metronomes

Experimental and numerical study on the basin stability of the coupled metronomes

Y Wu, Z Song, W Liu, J Jia, J Xiao - The European Physical Journal …, 2014 - Springer
clock and find the anti-phase and in-phase synchronization may … [14] point out that the coupled
metronomes are not only a … ) that the coupled metronomes are in in-phase (or anti-phase) …

Review of synchronization in mechanical systems

M Sen, CS López Cajún - Nonlinear Structural Dynamics and Damping, 2019 - Springer
… on his experiments with two coupled pendulums side by side and … including the shift from
anti-phase to in-phase clustering, and … The individual metronomes are set in motion at different …

Synchronous states of slowly rotating pendula

M Kapitaniak, K Czolczynski, P Perlikowski, A Stefanski… - Physics Reports, 2014 - Elsevier
… found that the pendulum clocks swung in … in-phase and antiphase synchronizations of the
metronomes have been observed. Synchronous configurations of a pair of double pendula has …

Synchronization of metronomes

J Pantaleone - American Journal of Physics, 2002 - pubs.aip.org
… The general tendency of coupled pendulums to synchronize can be … of both antiphase and
in-phase synchronization when the … in the recent study of coupled pendulums clocks,14 and it …

Phase synchronization of fluid-fluid interfaces as hydrodynamically coupled oscillators

E Um, M Kim, H Kim, JH Kang, HA Stone… - Nature …, 2020 - nature.com
… observation of in-phase synchronization, the coupled droplet … as pendulum clocks 11 , and
multiple metronomes ticking at … the emergence of in-phase or anti-phase synchronization and …

HUYGENS'ODD SYMPATHY EXPERIMENT REVISITED

K Czolczynski, P Perlikowski, A Stefanski… - International Journal of …, 2011 - World Scientific
clocks can synchronize both in-phase and anti-phase. As we noticed some small differences
in the pendulum … of the length of pendulum 2), in-phase synchronization persists till ξ = 0.92. …

Synchronization of the self-excited pendula suspended on the vertically displacing beam

K Czolczynski, P Perlikowski, A Stefanski… - … in Nonlinear Science …, 2013 - Elsevier
… of nonidentical clocks only almost antiphase synchronization … type is in-phase complete
synchronization in which all pendula … the considered model of the coupled pendula. In Section 3 …