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Analytic exact upper bound for the Lyapunov dimension of the Shimizu-Morioka system. / Leonov, Gennady A.; Alexeeva, Tatyana A.; Kuznetsov, Nikolay V.

In: Entropy, Vol. 17, No. 7, 2015, p. 5101-5116.

Research output: Contribution to journal › Article › peer-review

Harvard

Leonov, GA, Alexeeva, TA & Kuznetsov, NV 2015, 'Analytic exact upper bound for the Lyapunov dimension of the Shimizu-Morioka system', Entropy, vol. 17, no. 7, pp. 5101-5116. https://doi.org/10.3390/e17075101, https://doi.org/10.3390/e17075101

APA

Leonov, G. A., Alexeeva, T. A., & Kuznetsov, N. V. (2015). Analytic exact upper bound for the Lyapunov dimension of the Shimizu-Morioka system. Entropy, 17(7), 5101-5116. https://doi.org/10.3390/e17075101, https://doi.org/10.3390/e17075101

Vancouver

Leonov GA, Alexeeva TA, Kuznetsov NV. Analytic exact upper bound for the Lyapunov dimension of the Shimizu-Morioka system. Entropy. 2015;17(7):5101-5116. https://doi.org/10.3390/e17075101, https://doi.org/10.3390/e17075101

Author

Leonov, Gennady A. ; Alexeeva, Tatyana A. ; Kuznetsov, Nikolay V. / Analytic exact upper bound for the Lyapunov dimension of the Shimizu-Morioka system. In: Entropy. 2015 ; Vol. 17, No. 7. pp. 5101-5116.

BibTeX

@article{5be8df2325df4fc9a13ec0549d1a519c,
title = "Analytic exact upper bound for the Lyapunov dimension of the Shimizu-Morioka system",
abstract = "In applied investigations, the invariance of the Lyapunov dimension under a diffeomorphism is often used. However, in the case of irregular linearization, this fact was not strictly considered in the classical works. In the present work, the invariance of the Lyapunov dimension under diffeomorphism is demonstrated in the general case. This fact is used to obtain the analytic exact upper bound of the Lyapunov dimension of an attractor of the Shimizu-Morioka system.",
keywords = "Lyapunov dimension, Lyapunov exponent, Shimizu-Morioka system",
author = "Leonov, {Gennady A.} and Alexeeva, {Tatyana A.} and Kuznetsov, {Nikolay V.}",
note = "Publisher Copyright: {\textcopyright} 2015 by the authors; licensee MDPI, Basel, Switzerland.",
year = "2015",
doi = "10.3390/e17075101",
language = "English",
volume = "17",
pages = "5101--5116",
journal = "Entropy",
issn = "1099-4300",
publisher = "MDPI AG",
number = "7",

}

RIS

TY - JOUR

T1 - Analytic exact upper bound for the Lyapunov dimension of the Shimizu-Morioka system

AU - Leonov, Gennady A.

AU - Alexeeva, Tatyana A.

AU - Kuznetsov, Nikolay V.

N1 - Publisher Copyright: © 2015 by the authors; licensee MDPI, Basel, Switzerland.

PY - 2015

Y1 - 2015

N2 - In applied investigations, the invariance of the Lyapunov dimension under a diffeomorphism is often used. However, in the case of irregular linearization, this fact was not strictly considered in the classical works. In the present work, the invariance of the Lyapunov dimension under diffeomorphism is demonstrated in the general case. This fact is used to obtain the analytic exact upper bound of the Lyapunov dimension of an attractor of the Shimizu-Morioka system.

AB - In applied investigations, the invariance of the Lyapunov dimension under a diffeomorphism is often used. However, in the case of irregular linearization, this fact was not strictly considered in the classical works. In the present work, the invariance of the Lyapunov dimension under diffeomorphism is demonstrated in the general case. This fact is used to obtain the analytic exact upper bound of the Lyapunov dimension of an attractor of the Shimizu-Morioka system.

KW - Lyapunov dimension

KW - Lyapunov exponent

KW - Shimizu-Morioka system

UR - http://www.scopus.com/inward/record.url?scp=84940550355&partnerID=8YFLogxK

U2 - 10.3390/e17075101

DO - 10.3390/e17075101

M3 - Article

VL - 17

SP - 5101

EP - 5116

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 7

ER -

ID: 3978342