Integrability of C1 invariant splittings

We derive some new conditions for integrability of dynamically defined C 1 invariant splittings, formulated in terms of the singular values of the iterates of the derivative of the diffeomorphism which defines the splitting.

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Bibliographic Details
Published inDynamical systems (London, England) Vol. 31; no. 1; pp. 79 - 88
Main Authors Luzzatto, Stefano, Türeli, Sina, War, Khadim Mbacke
Format Journal Article
LanguageEnglish
Published Taylor & Francis 02.01.2016
Subjects
Frobenius theorem
integrability
invariant splittings
singular values
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Summary:We derive some new conditions for integrability of dynamically defined C 1 invariant splittings, formulated in terms of the singular values of the iterates of the derivative of the diffeomorphism which defines the splitting.
ISSN:1468-9367
1468-9375
DOI:10.1080/14689367.2015.1057480