Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems
DOI10.13108/2021-13-3-174zbMath1502.70041OpenAlexW3214146889MaRDI QIDQ5067185
M. G. Yumagulov, L. S. Ibragimova, A. S. Belova
Publication date: 1 April 2022
Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/ufa584
stabilitythree-body problemperturbation theorysmall parameterHamiltonian systemparametric resonancemultiplierlibration point
Three-body problems (70F07) Singular perturbations of ordinary differential equations (34D15) 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) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)
Related Items (1)
Cites Work
- Stability sets of multiparameter Hamiltonian systems
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Linear stability of the elliptic Lagrangian triangle solutions in the three-body problem
- On the constructive algorithm for stability investigation of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in first-order resonance case
- Methods for studying the stability of linear periodic systems depending on a small parameter
- On the stability of equilibria in two-degrees-of- freedom Hamiltonian systems under resonances
- On periodic motions of a nonautonomous Hamiltonian system in one case of multiple parametric resonance
- The asymptotic formulae in the problem on constructing hyperbolicity and stability regions of dynamical systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems