On stability of a non-autonomous Hamiltonian system in parametric resonance of dominant mode

DOI10.1016/0021-8928(80)90001-5zbMath0599.70034OpenAlexW1966441952MaRDI QIDQ1080677

B. George

Publication date: 1980

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(80)90001-5

zbMATH Keywords

equilibrium positionLyapunov instabilityperiodic motionsisoenergetic reductionformal stabilityA nonlinear problem formulationdetermination of stability domain boundarymultipliers of the linearized systemnon-autonomous Hamiltonian system with periodic coefficientsstability in finite approximation

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

• On the stability of a nonautonomous Hamiltonian system under second-order resonance
• On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
• New aspects in the theory of stability of Hamiltonian systems
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