A Trilinear Three-Body Problem

DOI10.1142/S0218127403007898zbMath1103.70006OpenAlexW2161033342MaRDI QIDQ4655505

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Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127403007898

zbMATH Keywords

chaosKAM theoryPoincaré map

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Triple collision in the collinear three-body problem
• Oscillatory solutions in the planar restricted three-body problem
• The collinear three-body problem with negative energy
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
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