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19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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Showing 2009 · math.DSShow all

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math.DS2009★ 12 cited

A Franks' lemma that preserves invariant manifolds

Nikolaz Gourmelon

A well-known lemma by John Franks asserts that one obtains any perturbation of the derivative of a diffeomorphism along a periodic orbit by a -perturbation of the whole diffeo…

math.DS2009★ 10 cited

Correlations for pairs of periodic trajectories for open billiards

Vesselin Petkov, Luchezar Stoyanov

In this paper we prove two asymptotic estimates for pairs of closed trajectories for open billiards similar to those established by Pollicott and Sharp for closed geodesics on nega…