First approximation formulas in the problem of perturbation of definite and indefinite multipliers of linear Hamiltonian systems
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Publication:2121969
DOI10.1134/S1995080222030222zbMath1496.37068WikidataQ113782085 ScholiaQ113782085MaRDI QIDQ2121969
M. G. Yumagulov, L. S. Ibragimova, A. S. Belova
Publication date: 5 April 2022
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Cites Work
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Approximate research of problems on perturbation of periodic and autonomous Hamiltonian systems in critical cases
- 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
- 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
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