Rotating waves in oscillators with Huygens' coupling

摘要

This paper focuses on the onset of rotating waves in a network of pendulum-like oscillators that interact via Huygens' coupling, i.e. in oscillators that are coupled by a flexible media. Conditions for the existence and stability of rotating wave solutions in the coupled system are derived by using the Poincare method of perturbation. Additionally, the amplitude and frequency of the rotating wave solution are also analytically determined. The theoretical results are further illustrated by means of computer simulations.