On stability in the presence of multiple resonance of odd order

DOI10.1016/0021-8928(80)90002-7zbMath0486.34038OpenAlexW2037445976MaRDI QIDQ1164771

V. E. Zhavnerchik

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)90002-7

zbMATH Keywords

stabilityHamiltonian systemssatellite dynamicsautonomous systemmultiple resonance

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (3)

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 ⋮ Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit

Cites Work

• On the stability of autonomous systems in the presence of several resonances
• On stability in the presence of several resonances
• On instability in the presence of several resonances
• On the problem of interaction of resonances
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