Stability of equilibrium positions of periodic Hamiltonian systems under third and fourth order resonances

DOI10.1070/RD2005v010n01ABEH000303zbMath1076.37050MaRDI QIDQ2569542

Claudio Vidal, Fabio dos Santos

Publication date: 28 October 2005

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: http://www.turpion.org/php/paper.phtml?journal_id=rd&paper_id=303

zbMATH Keywords

Lyapunov stabilitynormal formresonanceperiodic Hamiltonian systemformal stability

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (7)

The linearization of periodic Hamiltonian systems with one degree of freedom under the Diophantine condition ⋮ Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems with \(n\)-degrees of freedom in the case of single resonance ⋮ 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 ⋮ Stability of equilibrium solutions of Hamiltonian systems under the presence of a single resonance in the non-diagonalizable case ⋮ Stability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom and single resonance in the critical case ⋮ Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances

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