# Robust Heteroclinic Tangencies

**Authors:** Pablo G. Barrientos, Sebasti\'an A. P\'erez

arXiv: 1903.00264 · 2019-03-04

## TL;DR

This paper constructs specific diffeomorphisms in dimensions two and higher that demonstrate robust heteroclinic tangencies, contributing to the understanding of complex dynamical behaviors.

## Contribution

It introduces a method to create $C^1$-robust heteroclinic tangencies in higher-dimensional diffeomorphisms, expanding the known examples in dynamical systems.

## Key findings

- Existence of $C^1$-robust heteroclinic tangencies in dimension $d	extgreater=2$
- Construction method for such diffeomorphisms
- Implications for stability and bifurcation analysis in dynamical systems

## Abstract

We construct diffeomorphisms in dimension $d\geq 2$ exhibiting $C^1$-robust heteroclinic tangencies.

## Full text

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## Figures

5 figures with captions in the complete paper: https://tomesphere.com/paper/1903.00264/full.md

## References

20 references — full list in the complete paper: https://tomesphere.com/paper/1903.00264/full.md

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Source: https://tomesphere.com/paper/1903.00264