scientific article; zbMATH DE number 1440608

zbMath0941.70016MaRDI QIDQ4949239

Anatoliy P. Markeev

Publication date: 8 May 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

third-order resonanceautonomous Hamiltonian systemorbital stability of periodic motions

Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items

Subharmonic oscillations in the near-circular elliptic Sitnikov problem, Nonlinear oscillations of a Hamiltonian system with two degrees of freedom with 2:1 resonance, Nonlinear oscillations of a 1:1 resonance Hamiltonian system, Unnamed Item, Numerical Orbital Stability Analysis of Nonresonant Periodic Motions in the Planar Restricted Four-Body Problem, Bifurcation Analysis of Periodic Motions Originating from Regular Precessions of a Dynamically Symmetric Satellite, Stability and bifurcation of resonance periodic motions of a symmetric satellite, Rotation of the oscillation plane of a heavy mass point on a spring in resonance, On nonlinear motions of Hamiltonian system in case of fourth order resonance, Unnamed Item, On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance, A study of the motions of an autonomous Hamiltonian system at a 1:1 resonance, Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem

Cites Work

• Lyapunov's center theorem for resonant equilibrium
• Periodic solutions near a resonant equilibrium of a Hamiltonian system
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• Periodic orbits emanating from a resonant equilibrium
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item