Shadowing is generic

S. Yu Pilyugin; O. B. Plamenevskaya

doi:10.1016/s0166-8641(98)00062-5

Shadowing is generic

S. Yu Pilyugin
, O. B. Plamenevskaya

Mathematics

St. Petersburg State University

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

Let Z(M) be the space of discrete dynamical systems with the C⁰-topology on a manifold M. It is shown that a generic system in Z(M) has the shadowing property.

Original language	English
Pages (from-to)	253-266
Number of pages	14
Journal	Topology and its Applications
Volume	97
Issue number	3
DOIs	https://doi.org/10.1016/s0166-8641(98)00062-5
State	Published - 1999

Keywords

Dynamical systems
Generic property
Shadowing

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10.1016/s0166-8641(98)00062-5

Cite this

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title = "Shadowing is generic",

abstract = "Let Z(M) be the space of discrete dynamical systems with the C0-topology on a manifold M. It is shown that a generic system in Z(M) has the shadowing property.",

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KW - Generic property

KW - Shadowing

UR - https://www.scopus.com/pages/publications/0000174716

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DO - 10.1016/s0166-8641(98)00062-5

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Shadowing is generic

Abstract

Keywords

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