Title of article
Shadowing Relations with Structural and Topological Stability in Iterated Functions Systems
Author/Authors
Rezaei ، Fatemeh Department of Mathematic - Faculty of Science - Yazd University , Fatehi Nia ، Mehdi Department of Mathematic - Faculty of Science - Yazd University
From page
1
To page
24
Abstract
This paper aims at formulating definitions of topological stability, structural stability, and expansiveness property for an iterated functions system (abbrev, IFS). It is going to show that the shadowing property is necessary condition for topological stability in IFSs. Then, it proves the previous weak converse demonstration with the addition of expansiveness property for IFSs. Then, by giving an example, we show that in an IFS, the shadowing property doesn’t imply structural stability
Keywords
Shadowing property , , structural stability , , topological stability , , expansiveness property , , iterated functions system ,
Journal title
Journal of Mathematical Extension(IJME)
Journal title
Journal of Mathematical Extension(IJME)
Record number
2774933
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