Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 62-75
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V. A. Boichenko; G. A. Leonov. Lyapunov's direct method in estimates of topological entropy. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 62-75. http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a3/
@article{ZNSL_1995_231_a3,
author = {V. A. Boichenko and G. A. Leonov},
title = {Lyapunov's direct method in estimates of topological entropy},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {62--75},
year = {1995},
volume = {231},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a3/}
}
TY - JOUR
AU - V. A. Boichenko
AU - G. A. Leonov
TI - Lyapunov's direct method in estimates of topological entropy
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 62
EP - 75
VL - 231
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a3/
LA - ru
ID - ZNSL_1995_231_a3
ER -
%0 Journal Article
%A V. A. Boichenko
%A G. A. Leonov
%T Lyapunov's direct method in estimates of topological entropy
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 62-75
%V 231
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a3/
%G ru
%F ZNSL_1995_231_a3
An upper estimate for the topological entropy of a dynamical system defined by a system of ODE is obtained. The estimate involves the Lyapunov functions and Losinskii's logarithmic norm. The proof uses the known fact that the topological entropy of a mapping acting in a compact space $K$ can be estimated via the fractal dimension of $K$. Bibl. 28 titles.
