The hyperbolic sets with the fitting shadowing property

AL-Ftlawy, Dunia M. K. AL-Ftlawy; Al-Shara`a, Iftichar Mudhar

doi:10.47974/JIM-1565

Open Access Research Article

The hyperbolic sets with the fitting shadowing property

^*Dunia M. K. AL-Ftlawy AL-FtlawyCorresponding authordonia.mohamed.pure353@student.uobabylon.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesBabylon UniversityIraqView full profile → , Iftichar Mudhar Al-Shara`apure.Iftichar.talb@uobabylon.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesBabylon UniversityIraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1455–1459Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1565XML

Published Online:: 29 Nov 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1565
Pages:: 1455–1459

Abstract

We explain around C1-stable fitting shadowing property of a diffeomorphism f of C∞ (closed manifold M) denote by SFSP of invariant closed set B in M; we want to prove the main Theorem that f_(|B) satisfies a C^1- stable fitting shadowing property if and only if B is a hyperbolic set with the same index; if partially hyperbolic diffeomorphisms map contains q, r are types of saddle points with different indices, then f does not investigate the fitting shadowing property.

Keywords

Hyperbolic sets Fitting shadowing property Local stable Fitting pseudo-orbit

Subject Classifications

Primary 37B65Secondary 46Lxx

References

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