Approximate research of problems on perturbation of periodic and autonomous Hamiltonian systems in critical cases

DOI10.1134/S1995080220090358zbMath1458.37064OpenAlexW3100625724MaRDI QIDQ2211413

A. S. Belova, L. S. Ibragimova, M. G. Yumagulov

Publication date: 11 November 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220090358

zbMATH Keywords

stabilityeigenvalueasymptoticsperturbationHamiltonian systemmultiplierequilibrium point

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) 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) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (3)

First approximation formulas in the problem of perturbation of definite and indefinite multipliers of linear Hamiltonian systems ⋮ Boundaries of the region of stability of autonomous Hamiltonian systems ⋮ Stability of equilibrium points for a Hamiltonian systems with two degrees of freedom in the problem of parametric resonance

Cites Work

• Unnamed Item
• Unnamed Item

This page was built for publication: Approximate research of problems on perturbation of periodic and autonomous Hamiltonian systems in critical cases