International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Wednesday Morning

Session WM2: Non-linear Systems I


Chair: Ubirajara Moreno - Brazil
Co-chair: Pablo Monzón - Uruguay
Room: Montevideo
2007-10-17
From 10:00 to 12:00
Single Interconnection of Kuramoto Coupled Oscillators
Pablo Monzón; Eduardo Canale
Contact: Pablo Monzón - Uruguay
11:20-11:40
Abstract:
In this work, we analyze the almost global synchronization property of sinusoidally coupled oscillators. In contrast with previous works, we introduce an approach that uses the strong basic facts of algebraic graph theory to prove dynamical properties of the standard symmetric Kuramoto model. We show how we can interconnect two (or several) systems via bridges, keeping the almost global synchronization. These ideas can be used to explore other kinds of interconnections. Copyright © 2007 IFAC.