On stability in Hamiltonian systems with two degrees of freedom

DOI10.1134/S0001434614010180zbMath1367.70041OpenAlexW2015491769MaRDI QIDQ2341970

Yuri N. Bibikov

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614010180

zbMATH Keywords

oscillatorLyapunov stabilityKAM theoryequilibrium positionPoincaré mappingHamiltonian system with two degrees of freedom

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Cites Work

• Stability in a Hamiltonian system
• Unnamed Item

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