On resonant classical Hamiltonians with two equal frequencies

DOI10.1007/BF01624789zbMath0377.58010OpenAlexW2086155518MaRDI QIDQ1246775

K. Appert

Publication date: 1978

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01624789

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability theory for smooth dynamical systems (37C75)

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Cites Work

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• An interaction of three resonant modes in a nonlinear lattice
• On resonant non linearly coupled oscillators with two equal frequencies
• A unifying theory in determining periodic families for Hamiltonian systems at resonance
• Regularization of kepler's problem and the averaging method on a manifold