Construction of conditionally-periodic solutions of canonical systems of differential equations with multiple resonance

DOI10.1007/BF01271692zbMath0487.70017OpenAlexW2057981806MaRDI QIDQ3948635

Sergei Georgievich Zhuravlev

Publication date: 1982

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01271692

zbMATH Keywords

perturbed systemresonancesmultiple resonancequasi-periodic systemsconditionally periodic solutionscommensurability conditioncritical combinations of coordinatesfast angle variablesshort-periodic termsvon Zeipel technique

Mathematics Subject Classification ID

Hamilton's equations (70H05) Averaging method for ordinary differential equations (34C29) Celestial mechanics (70F15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (2)

Conditionally-periodic solutions of the Hamiltonian system with multiple resonance ⋮ Analytical study of the resonance caused by solar radiation pressure on a spacecraft

Cites Work

• On stationary solutions of some canonical systems of differential equations
• Conditionally periodic solutions of the canonical systems of differential equations in non-autonomous resonant case
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