Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows (Q1570046)
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scientific article; zbMATH DE number 1471450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows |
scientific article; zbMATH DE number 1471450 |
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Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows (English)
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23 April 2002
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This paper deals with the existence of a unique and ergodic absolutely continuous invariant measure for certain one-dimensional Lorenz-like maps. The author constructs a Sinai-Ruelle-Bowen (SRB) measure for the case of such flows and proves that the SRB measure constructed for the flow is unique.
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ergodic absolutely continuous measure
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SRB measure
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contracting Lorenz map
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