Differential Equations
and
Control Processes

Genericity of Nonsensitivity for Homeomorphisms of Metric Spaces

Author(s):

I. M. Kamchibekov

Russia, 198904, Saint Petersburg,
Petrodvorets, Universitetskiy pr. 4
Saint Petersburg State University
Faculty of mathematics and mechanics

haradrim@yandex.ru

Abstract:

We consider the problem of genericity of the property of nonsensitivity at a generic point for dynamical systems generated by homeomorphisms of metric spaces. We indicate properties of metric spaces such that a generic homeomorphism of a metric space having this property is nonsensitive at a generic point. It is shown that the standard Cantor set has this property. Bibliography: 6 titles.

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