References
- A. Araújo, A existencia de atratores hiperbólicos para difeormorfismos de superfícies. (Portuguese), preprint IMPA Série F, No 23/88 (1988).
- A. Arbieto, C. Morales, and B. Santiago, On Araujo's theorem for flows, J. Dyn. Control Syst. 22(1) (2016), pp. 55–69
- J. Bochi and C. Bonatti, Perturbation of the Lyapunov spectra of periodic orbits, Proc. Lond. Math. Soc. (3) 105(1) (2012), pp. 1–48.
- C. Bonatti and S. Crovisier, Récurrence et généricité, Invent. Math. 158(1) (2004), pp. 33–104.
- C. Bonatti, L. Diaz, and E. Pujals, A C1-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks or sources, Ann. of Math. (2) 158(2) (2003), pp. 355–418.
- R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics, 470, Springer-Verlag, Berlin, 2008.
- E. Catsigeras, M. Cerminara, and H. Enrich, The Pesin entropy formula for C1 diffeomorphisms with dominated splitting, Ergod. Theor. Dyn. Syst. 35, 03, pp. 737–761.
- E. Colli and E. Vargas, Non-trivial wandering domains and homoclinic bifurcations, Ergod. Theor. Dynam. Syst. 21(6) (2001), pp. 1657–1681.
- J. Franks, Necessary conditions for stability of diffeomorphisms, Trans. Amer. Math. Soc. 158 (1971), pp. 301–308
- F. Hofbauer and G. Keller, Quadratic maps without asymptotic measure, Comm. Math. Phys. 127(2) (1990), pp. 319–337.
- H. Hu and L-S. Young, Nonexistence of SBR measures for some diffeomorphisms that are “almost Anosov”, Ergod. Theor. Dynam. Syst. 15(1) (1995), 67–76.
- A. Katok, Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Inst. Hautes Études Sci. Publ. Math. 51 (1980), pp. 137–173.
- R. Mañé, Ergodic Theory and Differentiable Dynamics, Springer-Verlag, Berlin, 1987.
- C.A. Morales and M.J. Pacífico, Lyapunov stability of ω-limit sets, Discrete Contin. Dyn. Syst. 8(3) (2002), 671–674.
- S. Newhouse, Lectures on Dynamical Systems, Dynamical systems (C.I.M.E. Summer School, Bressanone, 1978), pp. 1–114, Progr. Math., 8, Birkhäuser, Boston, MA, 1980.
- J. Palis, A global view of dynamics and a conjecture on the denseness of finitude of attractors, Géometrie compléxe et systémes dynamiques (Orsay, 1995). Astérisque No. 261 (2000), pp. xiii–xiv, 335-347.
- J. Palis and W. de Melo, Geometric Theory of Dynamical Systems, Springer-Verlag, New York, 1982.
- R. Potrie, Generic bi-Lyapunov stable homoclinic classes, Nonlinearity 23(7) (2010), 1631–1649.
- R. Saghin, W. Sun, and E. Vargas, On Dirac physical measures for transitive flows, Comm. Math. Phys. 298(3) (2010), pp. 741–756.
- R. Saghin and E. Vargas, Invariant measures for Cherry flows, Comm. Math. Phys. 317(1) (2013), pp. 55–67.
- B. Santiago, The Semicontinuity Lemma, Unpublished note, available athttp://www.im.ufrj.br/bruno_santiago/Semicontinuity.pdf
- L-S. Young, What are SRB measures, and which dynamical systems have them?, J. Statist. Phys. 108(5–6) (2002), pp. 733–754.