Monotonicity, \(J\)-algebra of Potapov and Lyapunov exponents (Q2778786)
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scientific article; zbMATH DE number 1722414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotonicity, \(J\)-algebra of Potapov and Lyapunov exponents |
scientific article; zbMATH DE number 1722414 |
Statements
20 June 2003
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hyperbolicity
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smooth dynamical systems
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growth properties of a field of indefinite quadratic forms
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symplectic case
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gas systems
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Monotonicity, \(J\)-algebra of Potapov and Lyapunov exponents (English)
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The paper presents methods for estimating Lyapunov exponents and establishing hyperbolicity in smooth dynamical systems. The approach is based on work by Lewowicz, Markarian, Potapov, and extends earlier results by the author of the paper. The hypotheses are phrased in terms of growth properties of a field of indefinite quadratic forms along solutions of the dynamical system. The general results are also specialized to the symplectic case, and an application to hard sphere gas systems is described.NEWLINENEWLINEFor the entire collection see [Zbl 0973.00044].
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