Concepedia

Robust tangencies of large codimension

Pablo G. Barrientos, Artem Raibekas

Nonlinearity · 2017 · 14 citations · 24 references

DOIFull text

Open access

Concepts

Abstract

We construct $C^2$-robust homoclinic and heterodimensional tangencies of large codimension inside transitive partially hyperbolic sets.

References

24

The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms

Sheldon E. Newhouse · Publications mathématiques de l IHÉS · 1979 · 548 citations · Full text

, , +11

Contributions to the stability conjecture

Ricardo Mañé · Topology · 1978 · 295 citations

, , +11

Persistent Nonhyperbolic Transitive Diffeomorphisms

Christian Bonatti, Lorenzo J. Díaz · Annals of Mathematics · 1996 · 193 citations

, , +5

Extremal Lyapunov exponents: an invariance principle and applications

Artur Avila, Marcelo Viana · Inventiones mathematicae · 2010 · 150 citations

, , +13

High Dimension Diffeomorphisms Displaying Infinitely Many Periodic Attractors

Jacob Palis, Marcelo Viana · Annals of Mathematics · 1994 · 148 citations

, , +14