Browsing Exact and Earth Sciences by Author "Backes, Lucas Henrique"

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    • Conditional Lipschitz shadowing for ordinary differential equations 

      Backes, Lucas Henrique; Dragičević, Davor; Onitsuka, Masakazu; Pituk, Mihály (2024) [Journal article]
      We introduce the notion of conditional Lipschitz shadowing, which does not aim to shadow every pseudo-orbit, but only those which belong to a certain prescribed set. We establish two types of sufficient conditions under ...

    • Continuity of Lyapunov exponents for cocycles with invariant holonomies 

      Backes, Lucas Henrique; Brown, Aaron; Butler, Clark (2018) [Journal article]
      We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to GL(2,R)-valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on ...

    • Periodic approximation of exceptional lyapunov exponents for semi-invertible operator cocycles 

      Backes, Lucas Henrique; Dragičević, Davor (2019) [Journal article]
      We prove that for semi-invertible and Hölder continuous linear cocycles A acting on an arbitrary Banach space and defined over a base space that satisfies the Anosov closing property, all exceptional Lyapunov exponents of ...