An Isaac Newton Institute Workshop

Theory and Applications of Coupled Cell Networks

Models of Coupled Nanomechanical Oscillators

27th September 2005

Author: Michael Cross (Caltech)

Abstract

In this talk I will discuss the behavior of models of coupled oscillators motivated by experimental work on nanomechanical systems. I will describe the collective behavior of parametrically driven arrays, which connects with issues of pattern formation in parametrically driven fluids, and the synchronization of self sustained oscillators with a range of individual frequencies, which leads to a new model for synchronization involving reactive coupling and nonlinear frequency pulling.

[Work done in collaboration with R. Lifshitz, J. L. Rogers and A. Zumdieck.]