Robustly non-hyperbolic transitive symplectic dynamics

Pablo G.  Barrientos; Artem Raibekas

doi:10.3934/dcds.2018259

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2018, Volume 38, Issue 12: 5993-6013. Doi: 10.3934/dcds.2018259

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Robustly non-hyperbolic transitive symplectic dynamics

Pablo G. Barrientos and
Artem Raibekas

Instituto de Matemática e Estatística, UFF, Rua Prof. Marcos Waldemar de Freitas Reis, s/n, Niterói - RJ, 24210-201, Brazil

Received: July 2017

Revised: February 2018

Published: December 2018

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Abstract

We construct symplectomorphisms in dimension d ≥ 4 having a semi-local robustly transitive partially hyperbolic set containing C²-robust homoclinic tangencies of any codimension $c$ with 0 < c ≤ d/2.

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Mathematics Subject Classification: Primary: 37D30, 37J10; Secondary: 70K50.

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