8. Anosov diffeomorphisms

2019 ◽  
pp. 116-122
Keyword(s):  
Anosov Diffeomorphisms

On the integrability of intermediate distributions for Anosov diffeomorphisms

1995 ◽  
Vol 15 (2) ◽  
pp. 317-331 ◽  
Author(s):  
M. Jiang ◽  
Ya B. Pesin ◽  
R. de la Llave
Keyword(s):  
Finite Number ◽  
Lyapunov Exponents ◽  
Periodic Orbits ◽  
Three Dimensional ◽  
Dimensional Torus ◽  
Anosov Diffeomorphism ◽  
Anosov Diffeomorphisms ◽  
Stable Foliation

AbstractWe study the integrability of intermediate distributions for Anosov diffeomorphisms and provide an example of a C∞-Anosov diffeomorphism on a three-dimensional torus whose intermediate stable foliation has leaves that admit only a finite number of derivatives. We also show that this phenomenon is quite abundant. In dimension four or higher this can happen even if the Lyapunov exponents at periodic orbits are constant.

scholarly journals Generic non-trivial resonances for Anosov diffeomorphisms

Nonlinearity ◽  
2017 ◽  
Vol 30 (3) ◽  
pp. 1146-1164 ◽  
Author(s):  
Alexander Adam
Keyword(s):  
Anosov Diffeomorphisms

scholarly journals A Garden of Eden theorem for Anosov diffeomorphisms on tori

2016 ◽  
Vol 212 ◽  
pp. 49-56 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Michel Coornaert
Keyword(s):  
Garden Of Eden ◽  
Anosov Diffeomorphisms

scholarly journals Anosov diffeomorphisms are topologically stable

Topology ◽  
1970 ◽  
Vol 9 (1) ◽  
pp. 71-78 ◽  
Author(s):  
Peter Walters
Keyword(s):  
Anosov Diffeomorphisms
Sign in / Sign up

Export Citation Format

Share Document