Three-dimensional dissipative diffeomorphisms with homoclinic tangencies

By J. C. Tatjer. Ergodic Theory and Dynamical Systems, 2001

56 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/5f170446b649edc8e27ecf85b1ce7036a2975bbb

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. C. Bonatti
2. Lorenzo J. Díaz
3. Sergey V. Gonchenko
4. Alexander S. Gonchenko
5. S. Crovisier
6. Marcelo Viana
7. Artur Avila
8. Jiagang Yang

In Mathematical Physics

1. C. Bonatti
2. Lorenzo J. Díaz
3. Sergey V. Gonchenko
4. Alexander S. Gonchenko
5. Marcelo Viana
6. S. Crovisier
7. Jiagang Yang
8. Artur Avila

In Statistical and Nonlinear Physics

1. Lorenzo J. Díaz
2. C. Bonatti
3. Sergey V. Gonchenko
4. Alexander S. Gonchenko
5. Marcelo Viana
6. Jiagang Yang
7. S. Crovisier
8. Artur Avila

Citations in the corpus

• Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps (2015, background): “Then these “multi-folds” must produce, in the three-dimensional case, the so-called non-simple homoclinic tangencies [40, 41] which, in turn, lead to the appearance of stable periodic orbits.”
• On maximal transitive sets of generic diffeomorphisms (2003, background): “In the case of C2-diffeomorphisms, this phenomenon is associated to the unfolding of homoclinic tangencies, see [N1], [N2] and [PT] for surface diffeomorphisms and [PV] and [ Tj ] in higher dimensions.”