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Dynamical Systems
An International Journal
Volume 34, 2019 - Issue 3
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Articles

Structural stability and a characterization of Anosov families

Pages 399-421 | Received 14 Aug 2018, Accepted 05 Nov 2018, Published online: 30 Dec 2018

References

  • P. Arnoux and A.M. Fisher, Anosov families, renormalization and non-stationary subshifts, Ergod. Theor. Dyn. Syst. 25(3) (2005), pp. 661–709.
  • A. Castro, F. Rodrigues and P. Varandas, Stability and limit theorems for sequences of uniformly hyperbolic dynamics, (2017). Available at arXiv preprint arXiv:1709.01652.
  • T. Kato, Perturbation Theory for Linear Operators, Vol. 132, Springer Science & Business Media, 2013.
  • C. Kawan, Entropy of nonautonomous dynamical systems, (2017). Available at arXiv preprint arXiv:1708.00815.
  • C. Kawan and Y. Latushkin, Some results on the entropy of nonautonomous dynamical systems, Dyn. Syst. 31(3) (2016), pp. 251–279.
  • S. Kolyada, M. Misiurewicz and L. Snoha, Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval, Fund. Math. 160 (1999), pp. 161–181.
  • S. Kolyada and L. Snoha, Topologial entropy of nonautonomous dynamical systems, Random Comput. Dyn. 4(2–3) (1996), pp. 205–233.
  • P.-D. Liu, Random perturbations of Axiom A basic sets, J. Stat. Phys.90(1–2) (1998), pp. 467–490.
  • P.-D. Liu and M. Qian, Smooth Ergodic theory of random dynamical systems. (Lecture Notes in Mathematics 1606). Springer, 2006.
  • J. Mather, Anosov diffeomorphism, appendix to part I of: S. Smale, differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), pp. 792–795.
  • J. Mather, Characterization of Anosov diffeomorphisms, Indag. Math. 30(5) (1968), pp. 479–483.
  • J. Muentes, Local stable and unstable manifolds for Anosov families, (2017). Available at arXiv preprint arXiv:1709.00636.
  • J. Muentes, On the continuity of the topological entropy of non-autonomous dynamical systems, Bull. Braz. Math. Soc., New Series 49(1) (2017), pp. 89–106.
  • J. Muentes, Openness of Anosov families, J. Korean Math. Soc. 55(3) (2018), pp. 575–591.
  • M. Shub, Global Stability of Dynamical Systems, Springer-Verlag, 1987.
  • R. Swan, Vector bundles and projective modules, Trans. Am. Math. Soc. 105 (1962), pp. 264–277.
  • M. Viana, Lectures on Lyapunov Exponents, Vol. 145, Cambridge University Press, 2014.
  • L.-S. Young, Stochastic stability of hyperbolic attractors, Ergod. Th. Dynam. Sys. 6(2) (1986), pp. 311–319.

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