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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/1994708
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