publication . Preprint . 2011

A Deterministic Approach to the Synchronization of Cellular Automata

Garcia, J.; Garcia, P.;
Open Access English
  • Published: 10 Mar 2011
Abstract
In this work we introduce a deterministic scheme of synchronization of linear and nonlinear cellular automata (CA) with complex behavior, connected through a master-slave coupling. By using a definition of Boolean derivative, we use the linear approximation of the automata to determine a function of coupling that promotes synchronization without perturbing all the sites of the slave system.
Subjects
arXiv: Nonlinear Sciences::Cellular Automata and Lattice Gases
free text keywords: Nonlinear Sciences - Chaotic Dynamics, Nonlinear Sciences - Cellular Automata and Lattice Gases
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26 references, page 1 of 2

1. Buck J. Sci. Am. 234, 74, (1976).

2. Mirollo R. E. and Strogatz S. H. Siam J. Appl. Math. 50, 1645, (1990).

3. Winfree A. T. Journal of Theoretical Biology. 16 15, (1967).

4. Pikovsky A., Rosenblum M. and Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge, 2001.

5. Strogatz S. H. Sync: The Emerging Science of Spontaneous Order, Hyperion, New York, 2003.

6. Kaka S. F., Pufall M. R., Rippard W. H., Silva T. J. and Russek S. E. Nature. 437 389, (2005).

7. Mancoff F. B., Rizzo N. D., Engel B. N. and Tehrani S. Nature. 437 393, (2005).

8. Yair Y., Aviv R., Price C., Asfur M. and Ravid G. Geophysical Research Abstracts. 9 03235, (2007).

9. Adioui M., Treuil J. P. and Arino O. Ecological Modeling. 167 19, (2003).

10. Kocarev L., Tasev Z. and Parlitz U. Phys. Rev. Lett. 79 51, (1997).

11. Bragard J., Boccaletti S. and Mancini H. Physical Review Letters. 91, 064103, 2003).

12. Boccaletti S., Bragard J., Arecchi F. T. and Mancini H. Phys. Rev. Lett. 83 (1999) 536.

13. Amengual A., Hernandez-Garc´ıa E., Montangne R. and San Miguel M. Phys. Rev. Lett. 78 (1997) 536.

14. P. Garc´ıa, A. Acosta and H. Leiva. Europhys. Lett, 88 60006, (2009).

15. D. Zanette and L. G. Morelli. Int. Jour. Bif. Chaos. 13, 16 (2003).

26 references, page 1 of 2
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