On existence and stucture of semiattractors for dynamical systems represented by cocycles
Journal of Mathematical Analysis and Applications(2019)
Abstract
We present a new sufficient condition for existence of semiattractors for set-valued semiflows of state multifunctions associated with general cocycle mappings. We assume that a given cocycle has at least one weakly pullback contracting fiber. In particular, one can apply the result to iterated function systems having no contracting mappings. We also introduce and analyze a fiber structure of semiattractors.
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Key words
Cocycle,Semiattractor,Weak contractivity,Iterated function system,Topological limit,Fibers of semiattractor
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