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Robust Heteroclinic Tangencies

  • Pablo G. BarrientosEmail author
  • Sebastián A. Pérez
Article
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Abstract

We construct diffeomorphisms in dimension \(d\ge 2\) exhibiting \(C^1\)-robust heteroclinic tangencies.

Keywords

Folding manifolds Robust equidimensional tangencies Robust heterodimensional tangencies 
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Notes

Acknowledgements

We are grateful to Artem Raibekas for discussions and helpful suggestions. During the preparation of this article PB was supported by MTM2017-87697-P from Ministerio de Economía y Competividad de España and CNPQ-Brasil. SP were partially supported by CMUP (UID/MAT/00144/2019), which is funded by FCT with national (MCTES) and European structural funds through the programs FEDER, under the partnership agreement PT2020. SP also acknowledges financial support from a postdoctoral grant of the project PTDC/MAT-CAL/3884/2014

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Copyright information

© Sociedade Brasileira de Matemática 2019

Authors and Affiliations

  1. 1.Instituto de Matemática e EstatísticaUFFNiteróiBrazil
  2. 2.Centro de Matematica da Universidade do PortoPortoPortugal

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