Moscow University Mathematics Bulletin

, Volume 74, Issue 3, pp 131–133 | Cite as

The Set of Lower Semi-Continuity Points of Topological Entropy of a Continuous One-Parametric Family of Dynamical Systems

  • A. N. VetokhinEmail author


The description of the set of lower semi-continuity points and the set of upper semi-continuity points of the topological entropy of the systems considered as a function on some parameter is obtained for a family of dynamical systems continuously dependent on parameter.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. B. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems (Cambridge Univ. Press, Cambridge, 1995; Faktorial, Moscow, 1999).CrossRefzbMATHGoogle Scholar
  2. 2.
    A. N. Vetokhin, “Typical Property of the Topological Entropy of Continuous Mappings of Compact Sets,” Diff. Uravn. 53 (4), 448 (2017) [Diff. Eq. 53 (4), 439 (2017)].MathSciNetzbMATHGoogle Scholar
  3. 3.
    M. V. Karpuk, “Structure of the Semicontinuity Sets of the Lyapunov Exponents of Linear Differential Systems Continuously Dependent on a Parameter,” Diff. Uravn., 51 (9), 1404 (2015) [Diff. Eq. 51 (10), 1397 (2015)].MathSciNetGoogle Scholar

Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityLeninskie Gory, MoscowRussia
  2. 2.Bauman Moscow State Technical UniversityMoscowRussia

Personalised recommendations