Stability of equilibria and fixed points of conservative systems

DOI10.1088/0951-7715/12/5/309zbMath0959.70009OpenAlexW2039532283MaRDI QIDQ4719515

Kenneth R. Meyer, Hildeberto E. Cabral

Publication date: 22 April 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/12/5/309

zbMATH Keywords

stability instability small parameter linearization Hamiltonian systems resonances restricted three-body problem equilibria resonance condition periodic Hamiltonians analytic Hamiltonian equilateral triangular libration points Moser's invariant curve theorem theorem by Chetaev

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability of solutions to ordinary differential equations (34D20) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

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