The Lyapunov exponents of \(C^{1}\) hyperbolic systems (Q625763)
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scientific article; zbMATH DE number 5857630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lyapunov exponents of \(C^{1}\) hyperbolic systems |
scientific article; zbMATH DE number 5857630 |
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The Lyapunov exponents of \(C^{1}\) hyperbolic systems (English)
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25 February 2011
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Consider a \(C^1\) diffeomorphism of a smooth closed manifold that preserves an ergodic measure. The authors show that if the Osledec splitting is dominated, then the Lyapunov spectrum of \(f\) is approximated by spectra of periodic points.
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Lyapunov exponents
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nonuniformly hyperbolic
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approximation
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