Transcendental case in stability problem of Hamiltonian system with two degrees of freedom in presence of first order resonance

DOI10.1007/s12346-012-0077-xzbMath1308.34071OpenAlexW2040463857WikidataQ104404739 ScholiaQ104404739MaRDI QIDQ2393367

Boris S. Bardin, Andrzej J. Maciejewski

Publication date: 7 August 2013

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-012-0077-x

zbMATH Keywords

Hamiltonian systemChetaev functionstability in the sense of Lyapunovconic precessiontranscendental case

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (6)

On the stability of periodic Hamiltonian systems with one degree of freedom in the case of degeneracy ⋮ On the stability of steady rotation of a satellite around the normal to the orbital plane ⋮ On numerical approaches to the analysis of topology of the phase space for dynamical integrability ⋮ Effective algorithm of analysis of integrability via the Ziglin's method ⋮ On the stability of a periodic Hamiltonian system with one degree of freedom in a transcendental case ⋮ On Nonlinear Oscillations and Stability of Coupled Pendulums in the Case of a Multiple Resonance

Cites Work

• Stability of equilibrium solutions of Hamiltonian systems under the presence of a single resonance in the non-diagonalizable case
• On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
• Stability of equilibria and fixed points of conservative systems
• Rotational Motion of Artificial Bodies in Space
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
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