Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles

By Lan Wen. 2004

60 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5688b0cde963f7ef6d267cf1a919c5d4f43830e1

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. Lorenzo J. Díaz
5. Dawei Yang
6. Lan Wen
7. Marcelo Viana
8. Artur Avila

In Mathematical Physics

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

In Statistical and Nonlinear Physics

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

Citations in the corpus

• Abundance of C 1 -robust homoclinic tangencies (2009, background): “The diffeomorphisms in O0(M) were studied in several papers, let us just refer to [31, 32, 33].”
• Partial hyperbolicity far from homoclinic bifurcations (2008, methodology): “In higher dimensions, some partial results have been obtained, for instance [ W2 , Pu2].”
• Nonsingular star flows satisfy Axiom A and the no-cycle condition (2006, background): “It is then easy to see Λ = α(a) ∪ Orb(a) ∪ ω(a). See [ 37 ] for more details.”
• Morse-Smale systems and horseshoes for three dimensional singular flows (2013, methodology): “Item 2 is fundamental, one can see [60] for instance.”