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Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems. / Makarenko, N. I.; Makridin, Z. V.
в: Proceedings of the Steklov Institute of Mathematics, Том 300, № 1, 01.01.2018, стр. 149-158.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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