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Phys. Rev. E 65, 026202 (2002) [6 pages]

Hints for universality in coupled map lattices

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Frederick H. Willeboordse*
Department of Physics, The National University of Singapore, Singapore 119260

Received 14 June 2001; revised 21 September 2001; published 3 January 2002

A wide range of coupled map lattices is found to have identical pattern sequences providing numerical evidence for their universality in the class of systems studied. It is furthermore found that the wave-type solutions of the diffusively coupled logistic lattice scale linearly with the coupling range indicating the existence of a continuum limit. The findings are used to introduce a very simple type of spatially extended map that can serve as a representative for the pattern sequence of this class of coupled maps.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.026202
DOI:
10.1103/PhysRevE.65.026202
PACS:
05.45.Ra

*Email address: willeboordse@yahoo.com URL: http://staff.science.nus.edu.sg/∼frederik