The paper is dedicated to the study of the problem of the existence of compact global attractors of discrete inclusions and to the description of its structure. We consider a family of continuous mappings of a metric space W into itself; on the metric space W we consider a discrete inclusion. We give sufficient conditions for the existence of a compact global attractor. If the family consists of a finite number of maps, then the corresponding compact global attractor is chaotic. We study this problem in the framework of non-autonomous dynamical systems (cocyles).
Compact Global Attractors of Discrete Inclusions
MAMMANA, Cristiana
2006-01-01
Abstract
The paper is dedicated to the study of the problem of the existence of compact global attractors of discrete inclusions and to the description of its structure. We consider a family of continuous mappings of a metric space W into itself; on the metric space W we consider a discrete inclusion. We give sufficient conditions for the existence of a compact global attractor. If the family consists of a finite number of maps, then the corresponding compact global attractor is chaotic. We study this problem in the framework of non-autonomous dynamical systems (cocyles).File in questo prodotto:
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