Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems Full article
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Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 |
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| Output data | Year: 2018, Volume: 300, Number: 1, Pages: 149-158 Pages count : 10 DOI: 10.1134/s0081543818010121 | ||||
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Abstract:
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.
Cite:
Makarenko N.I.
, Makridin Z.V.
Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems
Proceedings of the Steklov Institute of Mathematics. 2018. V.300. N1. P.149-158. DOI: 10.1134/s0081543818010121 WOS Scopus РИНЦ OpenAlex
Periodic Oscillations and Waves in Nonlinear Weakly Coupled Dispersive Systems
Proceedings of the Steklov Institute of Mathematics. 2018. V.300. N1. P.149-158. DOI: 10.1134/s0081543818010121 WOS Scopus РИНЦ OpenAlex
Original:
Макаренко Н.И.
, Макридин З.В.
ПЕРИОДИЧЕСКИЕ КОЛЕБАНИЯ И ВОЛНЫ В НЕЛИНЕЙНЫХ СЛАБО СВЯЗАННЫХ СИСТЕМАХ С ДИСПЕРСИЕЙ
ТРУДЫ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМЕНИ В.А. СТЕКЛОВА. 2018. Т.300. №58. С.158-167. DOI: 10.1134/S0371968518010120 РИНЦ OpenAlex
ПЕРИОДИЧЕСКИЕ КОЛЕБАНИЯ И ВОЛНЫ В НЕЛИНЕЙНЫХ СЛАБО СВЯЗАННЫХ СИСТЕМАХ С ДИСПЕРСИЕЙ
ТРУДЫ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМЕНИ В.А. СТЕКЛОВА. 2018. Т.300. №58. С.158-167. DOI: 10.1134/S0371968518010120 РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000433127500012 |
| Scopus: | 2-s2.0-85047551449 |
| Elibrary: | 35510647 |
| OpenAlex: | W2803466836 |