@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",
}