Bifurcation at nonsemisimple 1:-1 resonance

DOI10.1007/BF00946761zbMath0607.70010OpenAlexW2142275609MaRDI QIDQ1085638

Jan-Cees van der Meer

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00946761

zbMATH Keywords

bifurcationrestricted three body problemattracting forcesequilateral equilibriamassless body

Mathematics Subject Classification ID

Three-body problems (70F07) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (4)

Birkhoff normalization, bifurcations of Hamiltonian systems and the deprits formula ⋮ Oscillatory spatially periodic weakly nonlinear gravity waves on deep water ⋮ Stability of invariant curves in four-dimensional reversible mappings near 1:1 resonance ⋮ Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem

Cites Work

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• The Hamiltonian Hopf bifurcation
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• [https://portal.mardi4nfdi.de/wiki/Publication:4082339 Sur de nouvelles s�ries pour le probl�me de masses critiques de Routh dans le probl�me restreint plan des trois corps]
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues
• The Trojan Manifold — Survey and Conjectures
• Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh
• A transformation to the normal form

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