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arxiv: 1707.06473 · v1 · pith:QD2Q36O4new · submitted 2017-07-20 · 🧮 math.DS

Robustly non-hyperbolic transitive symplectic dynamics

classification 🧮 math.DS
keywords robustlytransitivecodimensionconstructcontainingdimensiondynamicshaving
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We construct symplectomorphisms in dimension $d\geq 4$ having a semi-local robustly transitive partially hyperbolic set containing $C^2$-robust homoclinic tangencies of any codimension $c$ with $0<c\leq d/2$.

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