Any discrete topological dynamical system can be extended to some hyper- space dynamical system. So the natural question to know if a property of the base system transfers on the extended one, and viceversa, arises. This note investigates these connections relatively to various forms of sensitivity, a dynamical property which is essential in the definition of some kind of chaos. Some results about these relationships are given.
Sensitivity for Set-Valued Discrete Dynamical Systems
MIRANDA, Annamaria
2016-01-01
Abstract
Any discrete topological dynamical system can be extended to some hyper- space dynamical system. So the natural question to know if a property of the base system transfers on the extended one, and viceversa, arises. This note investigates these connections relatively to various forms of sensitivity, a dynamical property which is essential in the definition of some kind of chaos. Some results about these relationships are given.File in questo prodotto:
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