On the oscillations of a system of coupled oscillators with one third-order resonance

DOI10.1016/0021-8928(71)90109-2zbMath0338.70016OpenAlexW2147056466MaRDI QIDQ1230676

F. Kh. Tsel'man

Publication date: 1971

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(71)90109-2

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonlinear dynamics in mechanics (70K99) Hamiltonian and Lagrangian mechanics (70H99)

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Small oscillations of a heavy rigid body around a fixed point and certain cases of existence of ``linear integrals ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3028409 Analytische N�herungen und physikalische Deutung nichtlinearer Schwingungen mit inneren Resonanzen] ⋮ On the oscillations of a system of coupled oscillators with one third-order resonance ⋮ Stability of constant-amplitude motions in slow-fluctuation approximation

Cites Work

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