Local induction of spatio-temporal chaos
G. Baier, A. Ramírez, I. Amaro, and M. Müller
Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, 62210 Cuernavaca, Morelos, México e-mail: baier@servm.fc.uaem.mx
Recibido el 3 de diciembre de 2004. ]]> Aceptado el 14 de junio de 2005.
Abstract
A periodic perturbation of one excitable system causes a symmetry-breaking instability in two reversibly coupled neighbors. The result is applied to a two-dimensional extended system. Tuning of the local perturbation frequency causes a regular target pattern to switch first to circular chaotic waves and then to chaotic wave fragments. Thus a global order-disorder transition can be induced by local control in an otherwise homogeneous medium.
Keywords: Spatio-temporal chaos; order-disorder transition; local control.
Resumen
Una perturbación periódica de un sistema excitable causa un rompimiento de simetría en dos osciladores acoplados reversiblemente. El resultado es aplicado a un sistema extendido en dos dimensiones espaciales. Ajustando la frecuencia de la perturbación local, se cambia un patrón regular de ondas circulares primero a ondas circulares caóticas y después a fragmentos de ondas caóticos. En consecuencia, una transición global orden-desorden se puede inducir bajo control local en un medio homogéneo.
Descriptores: Caos espacio-temporal; transición orden-desorden; control local.
]]> PACS: 05.45.Ac; 05.45.Jn; 05.45.Xt
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Acknowledgements
This work was supported by CONACyT, Mexico (project no. 40885-F). G.B. thanks Sven Sahle for the discussion.
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