Standard

A simple autonomous quasiperiodic self-oscillator. / Kuznetsov, A. P.; Kuznetsov, S. P.; Stankevich, N. V.

в: Communications in Nonlinear Science and Numerical Simulation, Том 15, № 6, 06.2010, стр. 1676-1681.

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

Harvard

Kuznetsov, AP, Kuznetsov, SP & Stankevich, NV 2010, 'A simple autonomous quasiperiodic self-oscillator', Communications in Nonlinear Science and Numerical Simulation, Том. 15, № 6, стр. 1676-1681. https://doi.org/10.1016/j.cnsns.2009.06.027

APA

Kuznetsov, A. P., Kuznetsov, S. P., & Stankevich, N. V. (2010). A simple autonomous quasiperiodic self-oscillator. Communications in Nonlinear Science and Numerical Simulation, 15(6), 1676-1681. https://doi.org/10.1016/j.cnsns.2009.06.027

Vancouver

Kuznetsov AP, Kuznetsov SP, Stankevich NV. A simple autonomous quasiperiodic self-oscillator. Communications in Nonlinear Science and Numerical Simulation. 2010 Июнь;15(6):1676-1681. https://doi.org/10.1016/j.cnsns.2009.06.027

Author

Kuznetsov, A. P. ; Kuznetsov, S. P. ; Stankevich, N. V. / A simple autonomous quasiperiodic self-oscillator. в: Communications in Nonlinear Science and Numerical Simulation. 2010 ; Том 15, № 6. стр. 1676-1681.

BibTeX

@article{f198111b0eda47fcb6f9e9abcda9ff99,
title = "A simple autonomous quasiperiodic self-oscillator",
abstract = "In this note a simple example of an autonomous three-dimensional system is considered demonstrating quasiperiodic dynamics because of presence of two coexisting oscillatory components of independently controlling and, hence, generally incommensurate frequencies. Attractor in such a regime is a two-dimensional torus. Numerical illustrations of the stable quasiperiodic motions are presented. Some essential features of the dynamical behavior are revealed; in particular, charts of dynamical regimes on parameter planes are considered and discussed.",
keywords = "Attractor, Lyapunov exponent, Oscillator, Quasiperiodic, Torus",
author = "Kuznetsov, {A. P.} and Kuznetsov, {S. P.} and Stankevich, {N. V.}",
note = "Funding Information: This research was supported, in part, by the RFBR Grant No. 09-02-00426. N.V.S. acknowledges support from the RFBR Grant No. 09-02-00707. Additionally, the authors acknowledge a partial support from the Grant 2.1.1/1738 of Ministry of Education and Science of Russian Federation in a frame of program of Development of Scientific Potential of Higher Education.",
year = "2010",
month = jun,
doi = "10.1016/j.cnsns.2009.06.027",
language = "English",
volume = "15",
pages = "1676--1681",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",
number = "6",

}

RIS

TY - JOUR

T1 - A simple autonomous quasiperiodic self-oscillator

AU - Kuznetsov, A. P.

AU - Kuznetsov, S. P.

AU - Stankevich, N. V.

N1 - Funding Information: This research was supported, in part, by the RFBR Grant No. 09-02-00426. N.V.S. acknowledges support from the RFBR Grant No. 09-02-00707. Additionally, the authors acknowledge a partial support from the Grant 2.1.1/1738 of Ministry of Education and Science of Russian Federation in a frame of program of Development of Scientific Potential of Higher Education.

PY - 2010/6

Y1 - 2010/6

N2 - In this note a simple example of an autonomous three-dimensional system is considered demonstrating quasiperiodic dynamics because of presence of two coexisting oscillatory components of independently controlling and, hence, generally incommensurate frequencies. Attractor in such a regime is a two-dimensional torus. Numerical illustrations of the stable quasiperiodic motions are presented. Some essential features of the dynamical behavior are revealed; in particular, charts of dynamical regimes on parameter planes are considered and discussed.

AB - In this note a simple example of an autonomous three-dimensional system is considered demonstrating quasiperiodic dynamics because of presence of two coexisting oscillatory components of independently controlling and, hence, generally incommensurate frequencies. Attractor in such a regime is a two-dimensional torus. Numerical illustrations of the stable quasiperiodic motions are presented. Some essential features of the dynamical behavior are revealed; in particular, charts of dynamical regimes on parameter planes are considered and discussed.

KW - Attractor

KW - Lyapunov exponent

KW - Oscillator

KW - Quasiperiodic

KW - Torus

UR - http://www.scopus.com/inward/record.url?scp=72049099853&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2009.06.027

DO - 10.1016/j.cnsns.2009.06.027

M3 - Article

AN - SCOPUS:72049099853

VL - 15

SP - 1676

EP - 1681

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

IS - 6

ER -

ID: 86486409