On the stability of autonomous systems in the presence of several resonances

DOI10.1016/0021-8928(79)90005-4zbMath0435.34041OpenAlexW1967497161MaRDI QIDQ1140210

V. E. Zhavnerchik

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)90005-4

zbMATH Keywords

Hamiltonian systemsresonancesstability of autonomous systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Orbital mechanics (70M20) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (7)

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 ⋮ On stability of mechanical systems under the action of position forces ⋮ On instability in the presence of several resonances ⋮ On stability in the presence of multiple resonance of odd order ⋮ Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates ⋮ Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit

Cites Work

• Interaction of third-order resonances in problems of the stability of Hamiltonian systems
• On stability in the presence of several resonances
• Certain stability questions in the presence of resonances
• On stability of autonomous systems with internal resonance
• On the problem of interaction of resonances
• Algebraic theory of linear inequalities
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