On auto-oscillations in two-dimensional near-Hamiltonian dynamic systems

DOI10.1016/0021-8928(79)90150-3zbMath0439.70022OpenAlexW1528314026MaRDI QIDQ1142612

E. L. Fedorov, Albert D. Morozov

Publication date: 1979

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(79)90150-3

zbMATH Keywords

auto-oscillationssmall perturbationsPontriagin generating equationtwo-dimensional near-Hamiltonian dynamic systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Control/observation systems governed by ordinary differential equations (93C15) Hamiltonian and Lagrangian mechanics (70H99) Free motions in linear vibration theory (70J30)

Cites Work

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• Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
• On approximations and the coarseness of the parameter space of a dynamic system