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Asymptotic behavior of solutions of Lorenz-like systems : Analytical results and computer error structures. / Leonov, G. A.; Andrievskiy, B. R.; Mokaev, R. N.

In: Vestnik St. Petersburg University: Mathematics, Vol. 50, No. 1, 01.01.2017, p. 15-23.

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

Harvard

Leonov, GA, Andrievskiy, BR & Mokaev, RN 2017, 'Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures', Vestnik St. Petersburg University: Mathematics, vol. 50, no. 1, pp. 15-23. https://doi.org/10.3103/S1063454117010071

APA

Leonov, G. A., Andrievskiy, B. R., & Mokaev, R. N. (2017). Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures. Vestnik St. Petersburg University: Mathematics, 50(1), 15-23. https://doi.org/10.3103/S1063454117010071

Vancouver

Leonov GA, Andrievskiy BR, Mokaev RN. Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures. Vestnik St. Petersburg University: Mathematics. 2017 Jan 1;50(1):15-23. https://doi.org/10.3103/S1063454117010071

Author

Leonov, G. A. ; Andrievskiy, B. R. ; Mokaev, R. N. / Asymptotic behavior of solutions of Lorenz-like systems : Analytical results and computer error structures. In: Vestnik St. Petersburg University: Mathematics. 2017 ; Vol. 50, No. 1. pp. 15-23.

BibTeX

@article{75c1deebb8674732b5d3bfe6793215b0,
title = "Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures",
abstract = "For Lorenz-like systems with volume contractions, analytical criteria for the global stability and instability of stationary sets are obtained. Numerical experiments for the study of the qualitative behavior of trajectories of Lorenz-like systems are described and analyzed. It is shown that their interpretation can lead to incorrect conclusions unless an additional verification oriented to the analytical results is performed.",
keywords = "computer error structures, dissipativity, Lorenz-like systems, stability, the Chen system, the Lu system, the Lyapunov function",
author = "Leonov, {G. A.} and Andrievskiy, {B. R.} and Mokaev, {R. N.}",
year = "2017",
month = jan,
day = "1",
doi = "10.3103/S1063454117010071",
language = "English",
volume = "50",
pages = "15--23",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of solutions of Lorenz-like systems

T2 - Analytical results and computer error structures

AU - Leonov, G. A.

AU - Andrievskiy, B. R.

AU - Mokaev, R. N.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - For Lorenz-like systems with volume contractions, analytical criteria for the global stability and instability of stationary sets are obtained. Numerical experiments for the study of the qualitative behavior of trajectories of Lorenz-like systems are described and analyzed. It is shown that their interpretation can lead to incorrect conclusions unless an additional verification oriented to the analytical results is performed.

AB - For Lorenz-like systems with volume contractions, analytical criteria for the global stability and instability of stationary sets are obtained. Numerical experiments for the study of the qualitative behavior of trajectories of Lorenz-like systems are described and analyzed. It is shown that their interpretation can lead to incorrect conclusions unless an additional verification oriented to the analytical results is performed.

KW - computer error structures

KW - dissipativity

KW - Lorenz-like systems

KW - stability

KW - the Chen system

KW - the Lu system

KW - the Lyapunov function

UR - http://www.scopus.com/inward/record.url?scp=85017595131&partnerID=8YFLogxK

U2 - 10.3103/S1063454117010071

DO - 10.3103/S1063454117010071

M3 - Article

AN - SCOPUS:85017595131

VL - 50

SP - 15

EP - 23

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 38720813