Controlling spatiotemporal chaos in excitable media using an array of control pointsS. Sridhar and S. Sinha
The Institute of Mathematical Sciences, C.I.T. Campus - Taramani, 600 113 Chennai, India
received 9 November 2007; accepted in final form 8 January 2008; published March 2008
published online 6 February 2008
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.
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