A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
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Publication:1423896
DOI10.4007/annals.2003.158.355zbMath1049.37011OpenAlexW2106627783MaRDI QIDQ1423896
Lorenzo J. Dıaz, Christian Bonatti, Enrique R. Pujals
Publication date: 7 March 2004
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.annm/1069786250
spectral decompositionvolume preserving diffeomorphismsdichotomynonwandering setdominated splittingsNewhouse phenomenon\(C^1\) robust propertynonhyperbolic diffeomorphisms
Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30)
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