On the periodic orbits, shadowing and strong transitivity of continuous flows (Q1654013)
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scientific article; zbMATH DE number 6914314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the periodic orbits, shadowing and strong transitivity of continuous flows |
scientific article; zbMATH DE number 6914314 |
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On the periodic orbits, shadowing and strong transitivity of continuous flows (English)
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7 August 2018
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A continuous flow is said to be chaotic if it has a dense set of periodic orbits and it satisfies the shadowing property. The importance of knowing periodic orbits is a key issue in dynamics, because they provide information about the complexity of the system. In this paper, the authors prove that continuous flows with a dense set of periodic orbits and the shadowing property satisfy a reparametrized gluing orbit property.
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gluing orbit property
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shadowing
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periodic orbits
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