2008/02/07 by Rui Dilão, Rui Dilao, Dilao, Rui
Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Astro and Planetary Science #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum chaos and dynamical systems #Scientific Research and Discoveries #nlin.AO #nlin.CD
paper · pdf · doi:10.48550/arxiv.0802.1024
4 pages, 4 figures
arxiv created 2008/02/07 · openalex publication_date 2008/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.