Local maximality of hyperbolic sets

A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems (Cambridge Univ. Press, Cambridge, 1995; Faktorial, Moscow, 1999).

S. Crovisier, “Une remarque sur les ensembles hyperboliques localement maximaux,” C. R., Math., Acad. Sci. Paris 334(5), 401–404 (2002).

T. Fisher, “Hyperbolic Sets That Are Not Locally Maximal,” Ergodic Theory Dyn. Syst. 26(5), 1491–1509 (2006).

D. V. Anosov, “Extension of Zero-Dimensional Hyperbolic Sets to Locally Maximal Ones,” Mat. Sb. 201(7), 3–14 (2010) [Sb. Math. 201, 935–946 (2010)].

D. V. Anosov, “On Certain Hyperbolic Sets,” Mat. Zametki 87(5), 650–668 (2010) [Math. Notes 87, 608–622 (2010)].

D. V. Anosov, “Intrinsic Character of One Property of Hyperbolic Sets,” J. Dyn. Control Syst. 16(4), 485–493 (2010).