Work

Huygens synchronization of three aligned clocks

Year: 2024

Type: article

Abstract: This study examines the synchronization of three identical oscillators arranged in an array and coupled by small impacts, wherein each oscillator interacts solely with its nearest neighbor. The synchronized state, which is asymptotically stable, is characterized by phase opposition among alternating oscillators. We analyze the system using a non-linear discrete dynamical system based on a difference equation derived from the iteration of a plane diffeomorphism. We illustrate these results with the application to a system of three aligned Andronov clocks, showcasing their applicability to a broad range of oscillator systems.

Source: Nonlinear Dynamics

DOI: 10.1007/s11071-024-10524-y

Authors: Jorge Buescu, Emma D’Aniello, Henrique M. Oliveira

Institutions: University of Lisbon, Fundação para a Ciência e Tecnologia, University of Campania "Luigi Vanvitelli", Instituto Superior Técnico

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,590

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Universidade de Lisboa, Erasmus+