Synchronization of clocks

M Kapitaniak, K Czolczynski, P Perlikowski, A Stefanski… - Physics Reports, 2012 - Elsevier
In this report we recall the famous Huygens' experiment which gave the first evidence of the
synchronization phenomenon. We consider the synchronization of two clocks which are …

Chimera states in mechanical oscillator networks

EA Martens, S Thutupalli, A Fourriere… - Proceedings of the …, 2013 - National Acad Sciences
The synchronization of coupled oscillators is a fascinating manifestation of self-organization
that nature uses to orchestrate essential processes of life, such as the beating of the heart …

Synchronous states of slowly rotating pendula

M Kapitaniak, K Czolczynski, P Perlikowski, A Stefanski… - Physics Reports, 2014 - Elsevier
Coupled systems that contain rotating elements are typical in physical, biological and
engineering applications and for years have been the subject of intensive studies. One …

[HTML][HTML] Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales

GH Goldsztein, AN Nadeau, SH Strogatz - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
In 1665, Huygens observed that two pendulum clocks hanging from the same board became
synchronized in antiphase after hundreds of swings. On the other hand, modern …

Intermittent chaotic chimeras for coupled rotators

S Olmi, EA Martens, S Thutupalli, A Torcini - Physical Review E, 2015 - APS
Two symmetrically coupled populations of N oscillators with inertia m display chaotic
solutions with broken symmetry similar to experimental observations with mechanical …

Weakly nonlinear analysis on synchronization and oscillation quenching of coupled mechanical oscillators

Y Kato, H Kori - Scientific Reports, 2024 - nature.com
Various oscillatory phenomena occur in the world. Because some are associated with
abnormal states (eg epilepsy), it is important to establish ways to terminate oscillations by …

Enhancing the emergence of hyperchaos using an indirect coupling and its verification based on digital implementation

A Arellano-Delgado, RD Méndez-Ramírez… - Nonlinear …, 2023 - Springer
In this work, an indirect coupling used in a pair of simple autonomous discrete systems in
order to enhance the emergence of hyperchaos is presented. The peculiarity that the used …

Numerical and experimental study of dynamics of two pendulums under a magnetic field

K Polczyński, A Wijata, J Awrejcewicz… - Proceedings of the …, 2019 - journals.sagepub.com
In this article, a two-degree-of-freedom system consisting of two pendulums with magnets
embedded in a variable magnetic field is investigated experimentally and numerically …

Fast frequency relocking for synchronization enhanced resonant accelerometer

L Xu, Y Qi, Z Jiang, X Wei - Microsystems & Nanoengineering, 2022 - nature.com
Synchronization, as a unique phenomenon, has been extensively studied in biology, chaotic
systems, nonlinear dynamics, quantum information, and other fields. Benefiting from the …

HUYGENS'ODD SYMPATHY EXPERIMENT REVISITED

K Czolczynski, P Perlikowski, A Stefanski… - International Journal of …, 2011 - World Scientific
We repeat Huygens' experiment using real pendulum clocks in the same way as it was done
originally, ie we hang two clocks on the same beam and observe the behavior of the …