Eur. Phys. J. D 33, 279-283 (2005)
https://doi.org/10.1140/epjd/e2005-00057-1

Control of spatiotemporal chaos: dependence of the minimum pinning distance on the spatial measure entropy

¹ Max-Planck-Institut fuer molekulare Physiologie, Postfach 500247, 44202 Dortmund, Germany
² Centre for Mathematical Modelling, UMR 2071, CNRS-Universidad de Chile, Casilla 170-3, Santiago, Chile

Corresponding author: ^a mario.markus@mpi-dortmund.mpg.de

Received: 23 June 2004
Revised: 22 October 2004
Published online: 3 May 2005

Abstract

We investigate the control of spatiotemporal chaos by external forcing at equidistant points (pinning sites) in one-dimensional systems. A monotonic decrease of the minimum distance between pinning sites versus the spatial measure entropy (in the absence of forcing) can be obtained for an appropriate choice of the forcing procedure. Such a relation between a feature for control and the disorder of the uncontrolled system is shown for four systems: binary cellular automata, coupled logistic equations, a stick-slip model and coupled differential equations.