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Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems. / Makarenko, N. I.; Makridin, Z. V.

In: Proceedings of the Steklov Institute of Mathematics, Vol. 300, No. 1, 01.01.2018, p. 149-158.

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

Harvard

Makarenko, NI & Makridin, ZV 2018, 'Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems', Proceedings of the Steklov Institute of Mathematics, vol. 300, no. 1, pp. 149-158. https://doi.org/10.1134/S0081543818010121

APA

Makarenko, N. I., & Makridin, Z. V. (2018). Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems. Proceedings of the Steklov Institute of Mathematics, 300(1), 149-158. https://doi.org/10.1134/S0081543818010121

Vancouver

Makarenko NI, Makridin ZV. Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems. Proceedings of the Steklov Institute of Mathematics. 2018 Jan 1;300(1):149-158. doi: 10.1134/S0081543818010121

Author

Makarenko, N. I. ; Makridin, Z. V. / Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems. In: Proceedings of the Steklov Institute of Mathematics. 2018 ; Vol. 300, No. 1. pp. 149-158.

BibTeX

@article{60fc52de6ff24932afd183a097ff9f2b,
title = "Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems",
abstract = "Bifurcations of periodic solutions in autonomous nonlinear systems of weakly coupled equations are studied. A comparative analysis is carried out between the mechanisms of Lyapunov–Schmidt reduction of bifurcation equations for solutions close to harmonic oscillations and cnoidal waves. Sufficient conditions for the branching of orbits of solutions are formulated in terms of the Pontryagin functional depending on perturbing terms.",
author = "Makarenko, {N. I.} and Makridin, {Z. V.}",
note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",
year = "2018",
month = jan,
day = "1",
doi = "10.1134/S0081543818010121",
language = "English",
volume = "300",
pages = "149--158",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "Maik Nauka Publishing / Springer SBM",
number = "1",

}

RIS

TY - JOUR

T1 - Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems

AU - Makarenko, N. I.

AU - Makridin, Z. V.

N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Bifurcations of periodic solutions in autonomous nonlinear systems of weakly coupled equations are studied. A comparative analysis is carried out between the mechanisms of Lyapunov–Schmidt reduction of bifurcation equations for solutions close to harmonic oscillations and cnoidal waves. Sufficient conditions for the branching of orbits of solutions are formulated in terms of the Pontryagin functional depending on perturbing terms.

AB - Bifurcations of periodic solutions in autonomous nonlinear systems of weakly coupled equations are studied. A comparative analysis is carried out between the mechanisms of Lyapunov–Schmidt reduction of bifurcation equations for solutions close to harmonic oscillations and cnoidal waves. Sufficient conditions for the branching of orbits of solutions are formulated in terms of the Pontryagin functional depending on perturbing terms.

UR - http://www.scopus.com/inward/record.url?scp=85047551449&partnerID=8YFLogxK

U2 - 10.1134/S0081543818010121

DO - 10.1134/S0081543818010121

M3 - Article

AN - SCOPUS:85047551449

VL - 300

SP - 149

EP - 158

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -

ID: 13632455