On attractors of hyperbolic iterated function systems (Q2717459)
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scientific article; zbMATH DE number 1605045
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On attractors of hyperbolic iterated function systems |
scientific article; zbMATH DE number 1605045 |
Statements
17 June 2001
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hyperbolic iterated function
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shadowing property
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shift dynamical system
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extended orbits
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topological stability
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On attractors of hyperbolic iterated function systems (English)
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The goal of this paper is to study the dynamics of hyperbolic iterated function system. The author discusses among others the following questions: NEWLINENEWLINENEWLINE(1) shadowing property of the shift dynamical systems associated with a hyperbolic iterated function system (IFS); NEWLINENEWLINENEWLINE(2) the expansivity of the shift dynamical system associated to IFS; NEWLINENEWLINENEWLINE(3) the extended orbits of a hyperbolic IFS and its OE-property; NEWLINENEWLINENEWLINE(4) topological stability of attractors for hyperbolic IFS under \(C^0\) perturbations.
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