Global dominated splittings and the $C^1$ Newhouse phenomenon
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Publication:5290012
DOI10.1090/S0002-9939-06-08445-0zbMath1088.37013OpenAlexW1638518912MaRDI QIDQ5290012
Flavio Abdenur, Sylvain Crovisier, Christian Bonatti
Publication date: 24 April 2006
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08445-0
dominated splittingnonwandering setperiodic sourcesperiodic sinks\( C^1\)-generic diffeomorphismchain-transitive setgeneric dichotomy
Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
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