Standard

Efficient methods in the search for periodic oscillations in dynamical systems. / Leonov, G. A.

In: Journal of Applied Mathematics and Mechanics, Vol. 74, No. 1, 2010, p. 24-50.

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

Harvard

Leonov, GA 2010, 'Efficient methods in the search for periodic oscillations in dynamical systems', Journal of Applied Mathematics and Mechanics, vol. 74, no. 1, pp. 24-50. https://doi.org/10.1016/j.jappmathmech.2010.03.004

APA

Leonov, G. A. (2010). Efficient methods in the search for periodic oscillations in dynamical systems. Journal of Applied Mathematics and Mechanics, 74(1), 24-50. https://doi.org/10.1016/j.jappmathmech.2010.03.004

Vancouver

Leonov GA. Efficient methods in the search for periodic oscillations in dynamical systems. Journal of Applied Mathematics and Mechanics. 2010;74(1):24-50. https://doi.org/10.1016/j.jappmathmech.2010.03.004

Author

Leonov, G. A. / Efficient methods in the search for periodic oscillations in dynamical systems. In: Journal of Applied Mathematics and Mechanics. 2010 ; Vol. 74, No. 1. pp. 24-50.

BibTeX

@article{609fc387ce7a4253a0648f4ffdf27dff,
title = "Efficient methods in the search for periodic oscillations in dynamical systems",
abstract = "Efficient methods in the search for the periodic oscillations of dynamical systems are described. Their application to the sixteenth Hilbert problem for quadratic systems and the Aizerman problem is considered. A synthesis of the method of harmonic linearization with the applied bifurcation theory and numerical methods for calculting periodic oscillations is described.",
keywords = "HILBERTS 16TH PROBLEM, QUADRATIC SYSTEMS, LIENARD EQUATION, LIMIT-CYCLES",
author = "Leonov, {G. A.}",
year = "2010",
doi = "10.1016/j.jappmathmech.2010.03.004",
language = "English",
volume = "74",
pages = "24--50",
journal = "Journal of Applied Mathematics and Mechanics",
issn = "0021-8928",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Efficient methods in the search for periodic oscillations in dynamical systems

AU - Leonov, G. A.

PY - 2010

Y1 - 2010

N2 - Efficient methods in the search for the periodic oscillations of dynamical systems are described. Their application to the sixteenth Hilbert problem for quadratic systems and the Aizerman problem is considered. A synthesis of the method of harmonic linearization with the applied bifurcation theory and numerical methods for calculting periodic oscillations is described.

AB - Efficient methods in the search for the periodic oscillations of dynamical systems are described. Their application to the sixteenth Hilbert problem for quadratic systems and the Aizerman problem is considered. A synthesis of the method of harmonic linearization with the applied bifurcation theory and numerical methods for calculting periodic oscillations is described.

KW - HILBERTS 16TH PROBLEM

KW - QUADRATIC SYSTEMS

KW - LIENARD EQUATION

KW - LIMIT-CYCLES

U2 - 10.1016/j.jappmathmech.2010.03.004

DO - 10.1016/j.jappmathmech.2010.03.004

M3 - Article

VL - 74

SP - 24

EP - 50

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 1

ER -

ID: 5487228