Standard

Periodic perturbations of a nonlinear oscillator. / Bibikov, Yu. N.; Savel'eva, A. G.

In: Differential Equations, Vol. 52, No. 4, 04.2016, p. 405-412.

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

Harvard

Bibikov, YN & Savel'eva, AG 2016, 'Periodic perturbations of a nonlinear oscillator', Differential Equations, vol. 52, no. 4, pp. 405-412. https://doi.org/10.1134/S0012266116040017

APA

Bibikov, Y. N., & Savel'eva, A. G. (2016). Periodic perturbations of a nonlinear oscillator. Differential Equations, 52(4), 405-412. https://doi.org/10.1134/S0012266116040017

Vancouver

Bibikov YN, Savel'eva AG. Periodic perturbations of a nonlinear oscillator. Differential Equations. 2016 Apr;52(4):405-412. https://doi.org/10.1134/S0012266116040017

Author

Bibikov, Yu. N. ; Savel'eva, A. G. / Periodic perturbations of a nonlinear oscillator. In: Differential Equations. 2016 ; Vol. 52, No. 4. pp. 405-412.

BibTeX

@article{eabba5aab728486d932b39aea19e4bfa,
title = "Periodic perturbations of a nonlinear oscillator",
abstract = "We study small time-periodic perturbations of an oscillator with a power-law odd restoring force with exponent exceeding unity. We study two problems, one on the stability of the equilibrium and the other on the bifurcation of an invariant two-dimensional torus from the equilibrium. We construct a focal quantity and a bifurcation equation that find the character of stability and branching of the equilibrium.",
author = "Bibikov, {Yu. N.} and Savel'eva, {A. G.}",
year = "2016",
month = apr,
doi = "10.1134/S0012266116040017",
language = "Английский",
volume = "52",
pages = "405--412",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Periodic perturbations of a nonlinear oscillator

AU - Bibikov, Yu. N.

AU - Savel'eva, A. G.

PY - 2016/4

Y1 - 2016/4

N2 - We study small time-periodic perturbations of an oscillator with a power-law odd restoring force with exponent exceeding unity. We study two problems, one on the stability of the equilibrium and the other on the bifurcation of an invariant two-dimensional torus from the equilibrium. We construct a focal quantity and a bifurcation equation that find the character of stability and branching of the equilibrium.

AB - We study small time-periodic perturbations of an oscillator with a power-law odd restoring force with exponent exceeding unity. We study two problems, one on the stability of the equilibrium and the other on the bifurcation of an invariant two-dimensional torus from the equilibrium. We construct a focal quantity and a bifurcation equation that find the character of stability and branching of the equilibrium.

UR - http://www.scopus.com/inward/record.url?scp=84969560158&partnerID=8YFLogxK

U2 - 10.1134/S0012266116040017

DO - 10.1134/S0012266116040017

M3 - статья

AN - SCOPUS:84969560158

VL - 52

SP - 405

EP - 412

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 4

ER -

ID: 35632586