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On the entropy of symbolic image of a dynamical system. / Osipenko, G.S.; Ampilova, N.B.

в: Динамические системы, Том 9(37), № 2, 23.03.2019, стр. 116-132.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Osipenko, GS & Ampilova, NB 2019, 'On the entropy of symbolic image of a dynamical system', Динамические системы, Том. 9(37), № 2, стр. 116-132.

APA

Osipenko, G. S., & Ampilova, N. B. (2019). On the entropy of symbolic image of a dynamical system. Динамические системы, 9(37)(2), 116-132.

Vancouver

Osipenko GS, Ampilova NB. On the entropy of symbolic image of a dynamical system. Динамические системы. 2019 Март 23;9(37)(2):116-132.

Author

Osipenko, G.S. ; Ampilova, N.B. / On the entropy of symbolic image of a dynamical system. в: Динамические системы. 2019 ; Том 9(37), № 2. стр. 116-132.

BibTeX

@article{b37f7bf7b65f465e8e7f4f8e1e5c7a30,
title = "On the entropy of symbolic image of a dynamical system",
abstract = "We consider the estimation of the entropy of a discrete dynamical system by using a symbolic image that is a directed graph constructed by means of a finite covering of phase space. Trajectories of the system are coded by paths on the graph. Flows on а symbolic image approximate invariant measures of the system. The maximal metric entropy of a symbolic image is estimated by the logarithm of the maximal eigenvalue of the symbolic image adjacency matrix. There is the flow on which this entropy is achieved. The invariant measure of the maximal entropy is estimated by using this flow.",
author = "G.S. Osipenko and N.B. Ampilova",
year = "2019",
month = mar,
day = "23",
language = "English",
volume = "9(37)",
pages = "116--132",
journal = "Динамические системы",
issn = "0203-3755",
publisher = "Крымский федеральный университет имени В. И. Вернадского",
number = "2",

}

RIS

TY - JOUR

T1 - On the entropy of symbolic image of a dynamical system

AU - Osipenko, G.S.

AU - Ampilova, N.B.

PY - 2019/3/23

Y1 - 2019/3/23

N2 - We consider the estimation of the entropy of a discrete dynamical system by using a symbolic image that is a directed graph constructed by means of a finite covering of phase space. Trajectories of the system are coded by paths on the graph. Flows on а symbolic image approximate invariant measures of the system. The maximal metric entropy of a symbolic image is estimated by the logarithm of the maximal eigenvalue of the symbolic image adjacency matrix. There is the flow on which this entropy is achieved. The invariant measure of the maximal entropy is estimated by using this flow.

AB - We consider the estimation of the entropy of a discrete dynamical system by using a symbolic image that is a directed graph constructed by means of a finite covering of phase space. Trajectories of the system are coded by paths on the graph. Flows on а symbolic image approximate invariant measures of the system. The maximal metric entropy of a symbolic image is estimated by the logarithm of the maximal eigenvalue of the symbolic image adjacency matrix. There is the flow on which this entropy is achieved. The invariant measure of the maximal entropy is estimated by using this flow.

UR - https://www.elibrary.ru/item.asp?id=41848843

M3 - Article

VL - 9(37)

SP - 116

EP - 132

JO - Динамические системы

JF - Динамические системы

SN - 0203-3755

IS - 2

ER -

ID: 76631717