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- W1884696312 abstract "A goal of this work is to study the dynamics in the complement of KAM tori with focus on non-local robust transitivity. We introduce $C^r$ open sets ($r=1, 2, ..., infty$) of symplectic diffeomorphisms and Hamiltonian systems, exhibiting robustly transitive sets. We show that the $C^infty$ closure of such open sets contains a variety of systems, including so-called a priori unstable integrable systems. In addition, the existence of ergodic measures with large support is obtained for all those systems. A main ingredient of the proof is a combination of studying minimal dynamics of symplectic iterated function systems and a new tool in Hamiltonian dynamics which we call symplectic blender." @default.
- W1884696312 created "2016-06-24" @default.
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- W1884696312 date "2011-08-30" @default.
- W1884696312 modified "2023-09-27" @default.
- W1884696312 title "Robust Transitivity in Hamiltonian Dynamics" @default.
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