Correlation of entropy with optimal pinning density for the control of spatiotemporal chaos
Alex Greilich, Mario Markus · Max Planck Institute for Plasma Physics · 2003
We consider three systems that are spatially one-dimensional and are discretized in space and time:i) cellular automata proposed by Wolfram; ii) a system that has been used as a prototype for coupled maplattices; and iii) a coupled map lattice that provides a simple description of earthquakes. Chaotic modesof these systems can be made periodic by external forcing at points equidistant in space (”pinnings”).The minimum distance between these points - corresponding to the optimal pinning density - is correlatedto the spatial measure entropy