Controlling spatiotemporal chaos in excitable media using an array of control points

The Institute of Mathematical Sciences, C.I.T. Campus - Taramani, 600 113 Chennai, India

Corresponding authors: ssridhar@imsc.res.in sitabhra@imsc.res.in

Received: 9 November 2007
Accepted: 8 January 2008

Abstract

The dynamics of activation waves in excitable media can give rise to spiral turbulence, the resulting spatiotemporal chaos being associated with empirical biological phenomena such as life-threatening disturbances in the natural rhythm of the heart. In this paper, we propose a spatially extended but non-global scheme using an array of control points for terminating such spatiotemporally chaotic excitations. A low-amplitude control signal is applied sequentially at each point on the array, resulting in a traveling wave of excitation in the underlying medium which drives away the turbulent activity. Our method is robust even in the presence of significant heterogeneities in the medium, which have often been an impediment to the success of other control schemes.