Integrability and Lyapunov exponents

Andy Hammerlindl

doi:10.3934/jmd.2011.5.107

Article Contents

2011, Volume 5, Issue 1: 107-122. Doi: 10.3934/jmd.2011.5.107

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Integrability and Lyapunov exponents

Andy Hammerlindl^1,

1.
Instituto Nacional deMatemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro

Received: March 31, 2010

Revised: November 30, 2010

Published: March 2011

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Abstract

A smooth distribution, invariant under a dynamical system, integrates to give an invariant foliation, unless certain resonance conditions are present.

Keywords:

Integrability,
Lyapunov exponents.

Mathematics Subject Classification: Primary: 37D10; Secondary: 37D20, 37D30.

Citation:

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References

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