Equivalent conditions of dominated splitting for volume-preserving diffeomorphisms (Q2463795)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalent conditions of dominated splitting for volume-preserving diffeomorphisms |
scientific article |
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Equivalent conditions of dominated splitting for volume-preserving diffeomorphisms (English)
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6 December 2007
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\textit{L. Wen} [Nonlinearity 15, No. 5, 1445--1469 (2002; Zbl 1011.37011)] obtained several equivalent conditions for the existence of dominated splittings for a \(C^1\)-diffeomorphism. The main result of the authors is an analog of Wen's result to the case of volume-preserving diffeomorphisms.
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homoclinic tangency
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preperiodic point
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dominated splitting
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volume-preserving diffeomorphism
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