About conjugacy of simple unimodal dynamical systems (Q2754857)
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scientific article; zbMATH DE number 1668474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About conjugacy of simple unimodal dynamical systems |
scientific article; zbMATH DE number 1668474 |
Statements
4 November 2001
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simple unimodal dynamical system
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attractive cycle
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repellent cycle
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conjugacy
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About conjugacy of simple unimodal dynamical systems (English)
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The author considers unimodal mappings of the unit interval, such that the period of each cycle is not greater than \(2^n\) and is a divisor of \(2^n\). The number of attractive and repellent cycles of a simple unimodal dynamical system is found. A criterion of topological conjugacy of two such systems is established. This gives a sufficient condition for the isomorphism of the corresponding \(C^*\)-algebras.
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