caa a22 4500 445320192 CHVBK 20180317142701.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00023-011-0100-9 doi (NATIONALLICENCE)springer-10.1007/s00023-011-0100-9 Lyapunov Exponents, Periodic Orbits and Horseshoes for Mappings of Hilbert Spaces [Elektronische Daten] [Zeng Lian, Lai-Sang Young] We consider smooth (not necessarily invertible) maps of Hilbert spaces preserving ergodic Borel probability measures, and prove the existence of hyperbolic periodic orbits and horseshoes in the absence of zero Lyapunov exponents. These results extend Katok's work on diffeomorphisms of compact manifolds to infinite dimensions, with potential applications to some classes of periodically forced PDEs. Springer Basel AG, 2011 Lian Zeng Courant Institute of Mathematical Sciences, New York University, New York, USA aut Young Lai-Sang Courant Institute of Mathematical Sciences, New York University, New York, USA aut Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/6(2011-09-01), 1081-1108 1424-0637 12:6<1081 2011 12 23 https://doi.org/10.1007/s00023-011-0100-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0100-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lian Zeng Courant Institute of Mathematical Sciences, New York University, New York, USA aut NATIONALLICENCE 700 1- Young Lai-Sang Courant Institute of Mathematical Sciences, New York University, New York, USA aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/6(2011-09-01), 1081-1108 1424-0637 12:6<1081 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer