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shadowing relations with structural and topological stability in iterated functions systems
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نویسنده
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rezaei fatemeh ,fatehi nia mehdi
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منبع
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journal of mathematical extension - 2023 - دوره : 17 - شماره : 9 - صفحه:1 -24
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چکیده
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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
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کلیدواژه
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shadowing property ,structural stability ,topological stability ,expansiveness property ,iterated functions system
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آدرس
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yazd university, faculty of science, department of mathematic, iran, yazd university, faculty of science, department of mathematic, iran
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پست الکترونیکی
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fatehiniam@yazd.ac.ir
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Authors
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