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A notion of Denjoy sub-system

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Abstract

We introduce a notion of Denjoy sub-system that generalizes the one of Aubry-Mather set. For such systems, we prove a result similar to Denjoy theorem (non-existence of C2 Denjoy sub-systems), and study their Lyapunov exponents.
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Dates and versions

hal-01567649 , version 1 (24-07-2017)

Identifiers

  • HAL Id : hal-01567649 , version 1

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Marie-Claude Arnaud, Patrice Le Calvez. A notion of Denjoy sub-system. 2017. ⟨hal-01567649⟩
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