On the stability of Hamiltonian systems in the presence of resonances
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Publication:2556230
DOI10.1016/0021-8928(71)90006-2zbMath0248.70016OpenAlexW1561873229MaRDI QIDQ2556230
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)90006-2
Hamiltonian and Lagrangian mechanics (70H99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
Related Items (13)
Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems with \(n\)-degrees of freedom in the case of single resonance ⋮ Instability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom under the existence of multiple resonances and an application to the spatial satellite problem ⋮ Nonlinear stability of elliptic equilibria in Hamiltonian systems with resonances of order four with interactions ⋮ Stability of equilibrium solutions of Hamiltonian systems under the presence of a single resonance in the non-diagonalizable case ⋮ Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates ⋮ On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem ⋮ Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit ⋮ Stability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom and single resonance in the critical case ⋮ On stability of autonomous systems with internal resonance ⋮ Instability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom under the existence of a single resonance and an invariant ray ⋮ Normalization and existence of invariant ray solutions of a 2-DOF autonomous Hamiltonian system with null frequencies ⋮ Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances ⋮ The stability of Hamiltonian systems in the case of a multiple fourth- order resonance
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