@inproceedings{ff7d8881a8534a3b9e9c3ebb1aa72e32,

title = "Richness of Chaos in the absolute newhouse domain",

abstract = "We show that universal maps (i.e. such whose iterations approximate every possible dynamics arbitrarily well) form a residual subset in an open set in the space of smooth dynamical systems. The result implies that many dynamical systems emerging in natural applications may, on a very long time scale, have quite unexpected dynamical properties, like coexistence of many non-trivial hyperbolic attractors and repellers and attractors with all zero Lyapunov exponents. Applications to reversible and symplectic maps are also considered.",

keywords = "Elliptic orbit, Hamiltonian system, Homoclinic tangency, Hyperbolic attrac-tor, Renormalization, Reversible system, Zero Lyapunov exponent",

author = "Dmitry Turaev",

year = "2010",

month = dec,

day = "1",

language = "English",

isbn = "9814324302",

series = "Proceedings of the International Congress of Mathematicians 2010, ICM 2010",

pages = "1804--1815",

booktitle = "Proceedings of the International Congress of Mathematicians 2010, ICM 2010",

note = "International Congress of Mathematicians 2010, ICM 2010 ; Conference date: 19-08-2010 Through 27-08-2010",

}