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Izv. Akad. Nauk SSSR Ser. Mat., 1971, Volume 35, Issue 2, Pages 324–366 (Mi izv1975)  

This article is cited in 32 scientific papers (total in 32 papers)

On the relations among various entropy characteristics of dynamical systems

E. I. Dinaburg

Abstract: This paper deals with the relation between topological entropy and $\varepsilon$-entropy of the space of segments of trajectories of dynamical systems, as well as the relation between topological and metrical entropies. The results obtained are applied to some classical dynamical systems.

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English version:
Mathematics of the USSR-Izvestiya, 1971, 5:2, 337–378

Bibliographic databases:

UDC: 513.88
MSC: 28A65, 54H20, 58F99
Received: 08.05.1970

Citation: E. I. Dinaburg, “On the relations among various entropy characteristics of dynamical systems”, Izv. Akad. Nauk SSSR Ser. Mat., 35:2 (1971), 324–366; Math. USSR-Izv., 5:2 (1971), 337–378

Citation in format AMSBIB
\by E.~I.~Dinaburg
\paper On the relations among various entropy characteristics of dynamical systems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1971
\vol 35
\issue 2
\pages 324--366
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 2
\pages 337--378

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    3. Lai-Sang Young, “Entropy of continuous flows on compact 2-manifolds”, Topology, 16:4 (1977), 469  crossref
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    5. A. A. Simonov, “Measures with maximal entropy for piecewise monotone transformations of an interval”, Russian Math. Surveys, 35:5 (1980), 273–274  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. Anthony Manning, “A relation between Lyapunov exponents, Hausdorff dimension and entropy”, Ergod Th Dynam Sys, 1:4 (1981)  crossref  mathscinet
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    18. I. K. Babenko, “Topological entropy of geodesic flows on simply connected manifolds, and related topics”, Izv. Math., 61:3 (1997), 517–535  mathnet  crossref  crossref  mathscinet  zmath  isi
    19. M. I. Voinova, L. S. Efremova, “Dynamics of elementary maps of dendrites”, Math. Notes, 63:2 (1998), 161–171  mathnet  crossref  crossref  mathscinet  zmath  isi
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    21. Paternain G.P., “Differentiable structures with zero entropy on simply connected 4-manifolds”, Boletim da Sociedade Brasileira de Matematica, 31:1 (2000), 1–8  crossref  isi
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    25. Fei Liu, Xiang Zhang, “Integrable Natural Hamiltonian Systems on the Suspensions of Toric Automorphism”, Qual Th Dyn Syst, 2010  crossref
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  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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