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Bifurcation of periodic solutions to nonlinear dispersive systems with symmetry and cosymmetry. / Makridin, Zakhar; Makarenko, Nikolay.

Modern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019. ed. / Sibusiso Moyo; Sergey V. Meleshko; Eckart Schulz. American Institute of Physics Inc., 2019. 020011 (AIP Conference Proceedings; Vol. 2153).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Makridin, Z & Makarenko, N 2019, Bifurcation of periodic solutions to nonlinear dispersive systems with symmetry and cosymmetry. in S Moyo, SV Meleshko & E Schulz (eds), Modern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019., 020011, AIP Conference Proceedings, vol. 2153, American Institute of Physics Inc., International Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019, Symmetry 2019, Nakhon Ratchasima, Thailand, 14.01.2019. https://doi.org/10.1063/1.5125076

APA

Makridin, Z., & Makarenko, N. (2019). Bifurcation of periodic solutions to nonlinear dispersive systems with symmetry and cosymmetry. In S. Moyo, S. V. Meleshko, & E. Schulz (Eds.), Modern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019 [020011] (AIP Conference Proceedings; Vol. 2153). American Institute of Physics Inc.. https://doi.org/10.1063/1.5125076

Vancouver

Makridin Z, Makarenko N. Bifurcation of periodic solutions to nonlinear dispersive systems with symmetry and cosymmetry. In Moyo S, Meleshko SV, Schulz E, editors, Modern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019. American Institute of Physics Inc. 2019. 020011. (AIP Conference Proceedings). doi: 10.1063/1.5125076

Author

Makridin, Zakhar ; Makarenko, Nikolay. / Bifurcation of periodic solutions to nonlinear dispersive systems with symmetry and cosymmetry. Modern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019. editor / Sibusiso Moyo ; Sergey V. Meleshko ; Eckart Schulz. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).

BibTeX

@inproceedings{0a11e88e20a54e2cb6c5829ac97bdbcf,
title = "Bifurcation of periodic solutions to nonlinear dispersive systems with symmetry and cosymmetry",
abstract = "Bifurcations of periodic solutions in autonomous nonlinear systems of weakly coupled equations are studied. A comparative analysis between the mechanisms of Lyapunov-Schmidt reduction of bifurcation equations for solutions close to cnoidal- A nd harmonic waves is carried out. The reduction is related with symmetry and cosymmetry properties of the original system. Sufficient conditions for the solution orbits branching are formulated in terms of the Poincare-Pontryagin functional depending on perturbing terms.",
author = "Zakhar Makridin and Nikolay Makarenko",
year = "2019",
month = sep,
day = "12",
doi = "10.1063/1.5125076",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Sibusiso Moyo and Meleshko, {Sergey V.} and Eckart Schulz",
booktitle = "Modern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019",
note = "International Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019, Symmetry 2019 ; Conference date: 14-01-2019 Through 18-01-2019",

}

RIS

TY - GEN

T1 - Bifurcation of periodic solutions to nonlinear dispersive systems with symmetry and cosymmetry

AU - Makridin, Zakhar

AU - Makarenko, Nikolay

PY - 2019/9/12

Y1 - 2019/9/12

N2 - Bifurcations of periodic solutions in autonomous nonlinear systems of weakly coupled equations are studied. A comparative analysis between the mechanisms of Lyapunov-Schmidt reduction of bifurcation equations for solutions close to cnoidal- A nd harmonic waves is carried out. The reduction is related with symmetry and cosymmetry properties of the original system. Sufficient conditions for the solution orbits branching are formulated in terms of the Poincare-Pontryagin functional depending on perturbing terms.

AB - Bifurcations of periodic solutions in autonomous nonlinear systems of weakly coupled equations are studied. A comparative analysis between the mechanisms of Lyapunov-Schmidt reduction of bifurcation equations for solutions close to cnoidal- A nd harmonic waves is carried out. The reduction is related with symmetry and cosymmetry properties of the original system. Sufficient conditions for the solution orbits branching are formulated in terms of the Poincare-Pontryagin functional depending on perturbing terms.

UR - http://www.scopus.com/inward/record.url?scp=85072704062&partnerID=8YFLogxK

U2 - 10.1063/1.5125076

DO - 10.1063/1.5125076

M3 - Conference contribution

AN - SCOPUS:85072704062

T3 - AIP Conference Proceedings

BT - Modern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019

A2 - Moyo, Sibusiso

A2 - Meleshko, Sergey V.

A2 - Schulz, Eckart

PB - American Institute of Physics Inc.

T2 - International Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019, Symmetry 2019

Y2 - 14 January 2019 through 18 January 2019

ER -

ID: 21699659