Coupled trivial maps

The first nontrivial example of coupled map lattices that admits a rigorous analysis in the whole range of the strength of space interactions is considered. This class is generated by one‐dimensional maps with a globally attracting superstable periodic trajectory that are coupled by a diffusive near...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 1992-07, Vol.2 (3), p.283-291
Main Authors: Bunimovich, L. A., Livi, R., Martínez‐Mekler, G., Ruffo, S.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics, Applied
Physical Sciences
Physics
Physics, Mathematical
Science & Technology
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Summary:The first nontrivial example of coupled map lattices that admits a rigorous analysis in the whole range of the strength of space interactions is considered. This class is generated by one‐dimensional maps with a globally attracting superstable periodic trajectory that are coupled by a diffusive nearest‐neighbor interaction.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.165870