Geodesic
Periodic oscillations and waves in nonlinear weakly coupled dispersive systems
Informatics and Automation, Modern problems and methods in mechanics, Tome 300 (2018), pp. 158-167

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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. 
@article{TRSPY_2018_300_a11,
     author = {N. I. Makarenko and Z. V. Makridin},
     title = {Periodic oscillations and waves in nonlinear weakly coupled dispersive systems},
     journal = {Informatics and Automation},
     pages = {158--167},
     publisher = {mathdoc},
     volume = {300},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2018_300_a11/}
}
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N. I. Makarenko; Z. V. Makridin. Periodic oscillations and waves in nonlinear weakly coupled dispersive systems. Informatics and Automation, Modern problems and methods in mechanics, Tome 300 (2018), pp. 158-167. http://geodesic.mathdoc.fr/item/TRSPY_2018_300_a11/