@article{ZhuArmbrusterKatzorke2005,
  author    = {Zhu, M. Q. and Armbruster, Dieter and Katzorke, Ines},
  title     = {Does synchronization of networks of chaotic maps lead to control?},
  issn      = {1054-1500},
  year      = {2005},
  abstract  = {We consider networks of chaotic maps with different network topologies. In each case, they are coupled in such a way as to generate synchronized chaotic solutions. By using the methods of control of chaos we are controlling a single map into a predetermined trajectory. We analyze the reaction of the network to such a control. Specifically we show that a line of one-dimensional logistic maps that are unidirectionally coupled can be controlled from the first oscillator whereas a ring of diffusively coupled maps cannot be controlled for more than 5 maps. We show that rings with more elements can be controlled if every third map is controlled. The dependence of unidirectionally coupled maps on noise is studied. The noise level leads to a finite synchronization lengths for which maps can be controlled by a single location. A two-dimensional lattice is also studied. (C) 2005 American Institute of Physics},
  language  = {en}
}