Issue
EPL
Volume 81, Number 5, March 2008
Article Number 50002
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/81/50002
Published online 06 February 2008
EPL, 81 (2008) 50002
DOI: 10.1209/0295-5075/81/50002

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

S. Sridhar and S. Sinha

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

ssridhar@imsc.res.in
sitabhra@imsc.res.in

received 9 November 2007; accepted in final form 8 January 2008; published March 2008
published online 6 February 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.

PACS
05.45.Gg - Control of chaos, applications of chaos.
87.18.Hf - Spatiotemporal pattern formation in cellular populations.
87.19.Hh - Cardiac dynamics.

© EPLA 2008