Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
By Carlos A. Morales Rojas, Maria José Pacifico, E. Pujals. 2004
207 citations recorded by the source corpus.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4eea8b46d13f726ad13d5571f0c8a5ed2c5d966c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
- Maria José Pacifico
- Shaobo Gan
- Marcelo Viana
- Vitor Araujo
- Dawei Yang
- E. Pujals
- Artur Avila
- C. Bonatti
In Statistical and Nonlinear Physics
- Maria José Pacifico
- Shaobo Gan
- Marcelo Viana
- Vitor Araujo
- Dawei Yang
- E. Pujals
- Artur Avila
- C. Bonatti
Citations in the corpus
- Morse-Smale systems and horseshoes for three dimensional singular flows (2013, background): “Morales-Pacifico-Pujals [35, 36] defined what is “Lorenz-like” in a dynamical way.”
- Singular-hyperbolic attractors are chaotic (2005, background): “In all these cases the results show that these attractors are expansive and have physical measures which are u-Gibbs states.”
- Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents (2008, background): “Do almost all Cr,ν cocycles, r + ν > 0 over a hyperbolic flow (f t, μ) with local product structure have some nonzero Lyapunov exponents? Analogously, for cocycles over Lorenz-like flows [23]?”
- Homoclinic and heteroclinic bifurcations in vector fields (2010, unknown): “2 ([282]).”