Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:B1L-A-1
Session:
Number:B1L-A-1-4
Synchronous Behavior in Asymmetrically Coupled Pendulums
Joaquin Alvarez, Jonatan Pena Ramirez, Isaac Ruiz Ramos,
pp.351-354
Publication Date:2017/12/4
Online ISSN:2188-5079
DOI:10.34385/proc.29.B1L-A-1-4
Summary:
It is well-known that a pair of pendulum-like oscillators, placed on a suspended rigid bar, may exhibit in-phase or anti-phase synchronized motion. Here, a novel coupling structure, in which the pendulums are asymmetrically coupled, is presented. Due to the physics underlying the dynamics of the coupling, the pendulums do not achieve complete in-phase or anti-phase synchronization. Instead, the pendulums oscillate at the same frequency but with different amplitudes and with a phase difference close to pi or zero. The amplitude, phase, and frequency of the synchronous solutions, are determined by using the Poincare method of perturbation and the obtained results are illustrated by means of numerical simulations.