On the problem of stability of equilibrium positions of Hamiltonian systems
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Publication:2551327
DOI10.1016/0021-8928(70)90157-7zbMath0233.70019OpenAlexW1675846617MaRDI QIDQ2551327
Publication date: 1970
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(70)90157-7
Stability for problems in linear vibration theory (70J25) Orbital mechanics (70M20) Linear vibration theory (70J99) Parametric resonances in linear vibration theory (70J40)
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On the stability of periodic Hamiltonian systems with one degree of freedom in the case of degeneracy ⋮ Stability of equilibrium solutions in the critical case of even-order resonance in periodic Hamiltonian systems with one degree of freedom ⋮ Method of constructing and investigating stability of periodic motions of autonomous Hamiltonian systems ⋮ Stability of a one-degree-of-freedom canonical system in the case of zero quadratic and cubic part of a Hamiltonian ⋮ Stability analysis of resonant rotation of a gyrostat in an elliptic orbit under third-and fourth-order resonances ⋮ Normal forms and stability of a generalized and nonlinear Hill's equation ⋮ On the stability of uniform rotations of a rigid body around the principal axis ⋮ On the normalization of a Hamiltonian system of linear differential equations with periodic coefficients ⋮ On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies ⋮ On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance ⋮ The dynamics of systems with unilateral constraints
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