Coupled Map Networks
نویسندگان
چکیده
This paper discusses coupled map networks of arbitrary sizes over arbitrary graphs; the local dynamics are taken to be diffeomorphisms or expanding maps of circles. A connection is made to hyperbolic theory: increasing coupling strengths leads to a cascade of bifurcations in which unstable subspaces in the coupled map systematically become stable. Concrete examples with different network architectures are discussed. AMS classification scheme numbers: 37D30, 37D50, 37L60
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