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Open Access Research Article

The property of inverse shadowing in G-group with general properties of sequences

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pp. 1201–1206Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2144 Crossmark XML
Received:
10 Dec 2024
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2144
Pages:
1201–1206

Abstract

The property of inverse shadowing is studied in ℤ- group with the following properties: structurally stable, transversality property, Anosov, expansivity, continuum–wise expansive and expanding.  Besides, this property is defined in G- group and studies general properties and relations like transitivity and sensitivity which are the most two important chaotic properties. In order for  this property and sequences to be related as in ℤ- group and the property of shadowing, we define this property of  G-inverse shadowing as a sequence of mappings on compact metric G-space and study this property in uniformly conjugate with the product.

Keywords

Subject Classifications

34D20

References

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