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

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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.

Original languageEnglish
Title of host publicationModern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019
EditorsSibusiso Moyo, Sergey V. Meleshko, Eckart Schulz
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418981
DOIs
Publication statusPublished - 12 Sep 2019
EventInternational Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019, Symmetry 2019 - Nakhon Ratchasima, Thailand
Duration: 14 Jan 201918 Jan 2019

Publication series

NameAIP Conference Proceedings
Volume2153
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019, Symmetry 2019
CountryThailand
CityNakhon Ratchasima
Period14.01.201918.01.2019

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