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Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order. / Bibikov, Y.N.; Pliss, V.A.

In: Vestnik St. Petersburg University: Mathematics, No. 2, 2015, p. 57-60.

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

Harvard

Bibikov, YN & Pliss, VA 2015, 'Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order', Vestnik St. Petersburg University: Mathematics, no. 2, pp. 57-60. https://doi.org/10.3103/S106345411502003X

APA

Bibikov, Y. N., & Pliss, V. A. (2015). Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order. Vestnik St. Petersburg University: Mathematics, (2), 57-60. https://doi.org/10.3103/S106345411502003X

Vancouver

Bibikov YN, Pliss VA. Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order. Vestnik St. Petersburg University: Mathematics. 2015;(2):57-60. https://doi.org/10.3103/S106345411502003X

Author

Bibikov, Y.N. ; Pliss, V.A. / Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order. In: Vestnik St. Petersburg University: Mathematics. 2015 ; No. 2. pp. 57-60.

BibTeX

@article{588af023e2834f7fb8dc2111cea3c651,
title = "Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order",
abstract = "{\textcopyright} 2015, Allerton Press, Inc.Periodic perturbations of the oscillator $$\ddot x$$+ x3 + ax$$\dot x$$ = 0, a2 <8, are considered. Smallness of perturbations is governed by the smallness of the neighborhood of the state of equilibrium x = 0 and by a small positive parameter. Conditions are given that ensure that an invariant two-dimensional torus branches from the equilibrium when the small parameter passes through the zero value.",
author = "Y.N. Bibikov and V.A. Pliss",
year = "2015",
doi = "10.3103/S106345411502003X",
language = "English",
pages = "57--60",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order

AU - Bibikov, Y.N.

AU - Pliss, V.A.

PY - 2015

Y1 - 2015

N2 - © 2015, Allerton Press, Inc.Periodic perturbations of the oscillator $$\ddot x$$+ x3 + ax$$\dot x$$ = 0, a2 <8, are considered. Smallness of perturbations is governed by the smallness of the neighborhood of the state of equilibrium x = 0 and by a small positive parameter. Conditions are given that ensure that an invariant two-dimensional torus branches from the equilibrium when the small parameter passes through the zero value.

AB - © 2015, Allerton Press, Inc.Periodic perturbations of the oscillator $$\ddot x$$+ x3 + ax$$\dot x$$ = 0, a2 <8, are considered. Smallness of perturbations is governed by the smallness of the neighborhood of the state of equilibrium x = 0 and by a small positive parameter. Conditions are given that ensure that an invariant two-dimensional torus branches from the equilibrium when the small parameter passes through the zero value.

U2 - 10.3103/S106345411502003X

DO - 10.3103/S106345411502003X

M3 - Article

SP - 57

EP - 60

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 2

ER -

ID: 4012583