The reduction principle for discrete dynamical and semidynamical systems in metric spaces

Andrejs Reinfelds

doi:10.1007/BF00952086

The reduction principle for discrete dynamical and semidynamical systems in metric spaces

Andrejs Reinfelds^*

^*Corresponding author for this work

Latvian Academy of Sciences

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

7 Citations (Scopus)

Abstract

The main result of this paper is on decoupling by means of a topological transformation of a homeomorphism which admits invariant sets. A theorem of conjugacy of a given possible noninvertible mapping, which admits an invariant set, to a simpler mapping than the given one in terms of decoupling is also proved. The results are valid in an arbitrary complete metric space.

Original language	English
Pages (from-to)	933-955
Number of pages	23
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	45
Issue number	6
DOIs	https://doi.org/10.1007/BF00952086
Publication status	Published - Nov 1994
Externally published	Yes

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The reduction principle for discrete dynamical and semidynamical systems in metric spaces

Abstract

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