On the periodic resonant solutions of the Hamiltonian systems generating from the position of equilibrium

DOI10.1016/0021-8928(82)90077-6zbMath0518.70021OpenAlexW2012725261MaRDI QIDQ1054175

T. N. Chekhovskaya, Anatoliy P. Markeev

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90077-6

zbMATH Keywords

almost autonomouscoefficients of normalized HamiltonianPoincare's parameter method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Hamilton's equations (70H05) Stability for problems in linear vibration theory (70J25) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Dynamical systems and ergodic theory (37-XX) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)

Cites Work

• On the role of first integrals in the perturbation of periodic solutions
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