Perturbations of the derivative along periodic orbits

By C. Bonatti, Nikolas Gourmelon, Thérèse Vivier. Ergodic Theory and Dynamical Systems, 2006

93 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7da856c66603ba2873896090a7d356fccd286346

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. S. Crovisier
2. C. Bonatti
3. Shaobo Gan
4. F. Abdenur
5. Dawei Yang
6. Marcelo Viana
7. Lorenzo J. Díaz
8. Artur Avila

In Mathematical Physics

1. S. Crovisier
2. C. Bonatti
3. Shaobo Gan
4. F. Abdenur
5. Dawei Yang
6. Marcelo Viana
7. Lorenzo J. Díaz
8. Jiagang Yang

Citations in the corpus

• Nonuniform hyperbolicity for C^1-generic diffeomorphisms (2008, methodology): “.8 is a generic consequence of the perturbative result Proposition 6.1 which refines Ma˜n´e’s Ergodic Closing Lemma. Consider now the finest dominated splitting supported by the ergodic measure µ. Then [BGV] produces perturbations of the derivative of Dfalong the orbits of the periodic orbits γn which”
• Morse-Smale systems and horseshoes for three dimensional singular flows (2013, methodology): “By using the methods of periodic linear systems as in [9, 13, 31, 59], one can have the following dichotomy result for a hyperbolic periodic orbit with large period:”