Does synchronization of networks of chaotic maps lead to control?
- 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
Author details: | M. Q. Zhu, Dieter Armbruster, Ines Katzorke |
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ISSN: | 1054-1500 |
Publication type: | Article |
Language: | English |
Year of first publication: | 2005 |
Publication year: | 2005 |
Release date: | 2017/03/24 |
Source: | Chaos. - ISSN 1054-1500. - 15 (2005), 1, S. 7 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Peer review: | Referiert |
Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |