Standard

Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space. / Leonov, G. A.; Burova, I. G.; Aleksandrov, K. D.

In: Differential Equations, Vol. 49, No. 13, 2013, p. 1675-1703.

Research output: Contribution to journal › Article

Harvard

Leonov, GA, Burova, IG & Aleksandrov, KD 2013, 'Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space', Differential Equations, vol. 49, no. 13, pp. 1675-1703. https://doi.org/10.1134/S0012266113130028

APA

Leonov, G. A., Burova, I. G., & Aleksandrov, K. D. (2013). Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space. Differential Equations, 49(13), 1675-1703. https://doi.org/10.1134/S0012266113130028

Vancouver

Leonov GA, Burova IG, Aleksandrov KD. Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space. Differential Equations. 2013;49(13):1675-1703. https://doi.org/10.1134/S0012266113130028

Author

Leonov, G. A. ; Burova, I. G. ; Aleksandrov, K. D. / Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space. In: Differential Equations. 2013 ; Vol. 49, No. 13. pp. 1675-1703.

BibTeX

@article{21b99d3c590447238582e22d0ef90a84,
title = "Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space",
abstract = "This paper deals with the visualization of a domain that contains four limit cycles for quadratic dynamical systems of first-order differential equations with real coefficients. The visualization of the domain is carried out in the three-dimensional space of coefficients corresponding to the nonlinear part of the quadratic system. Theoretical and practical aspects of the numerical solution of the Cauchy problem for unstable systems are discussed.",
author = "Leonov, {G. A.} and Burova, {I. G.} and Aleksandrov, {K. D.}",
year = "2013",
doi = "10.1134/S0012266113130028",
language = "English",
volume = "49",
pages = "1675--1703",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "13",

}

RIS

TY - JOUR

T1 - Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space

AU - Leonov, G. A.

AU - Burova, I. G.

AU - Aleksandrov, K. D.

PY - 2013

Y1 - 2013

N2 - This paper deals with the visualization of a domain that contains four limit cycles for quadratic dynamical systems of first-order differential equations with real coefficients. The visualization of the domain is carried out in the three-dimensional space of coefficients corresponding to the nonlinear part of the quadratic system. Theoretical and practical aspects of the numerical solution of the Cauchy problem for unstable systems are discussed.

AB - This paper deals with the visualization of a domain that contains four limit cycles for quadratic dynamical systems of first-order differential equations with real coefficients. The visualization of the domain is carried out in the three-dimensional space of coefficients corresponding to the nonlinear part of the quadratic system. Theoretical and practical aspects of the numerical solution of the Cauchy problem for unstable systems are discussed.

U2 - 10.1134/S0012266113130028

DO - 10.1134/S0012266113130028

M3 - Article

VL - 49

SP - 1675

EP - 1703

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 13

ER -

ID: 5729478