Birkhoff normalization, bifurcations of Hamiltonian systems and the deprits formula

DOI10.1007/s11784-013-0136-1zbMath1281.70024OpenAlexW2089746830WikidataQ59303112 ScholiaQ59303112MaRDI QIDQ395461

Henryk Żołądek, Weronika Barwicz, Mateusz Wiliński

Publication date: 29 January 2014

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-013-0136-1

zbMATH Keywords

Birkhoff normal formrestricted three-body problembifurcations of Hamiltonian systems

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50) Hamilton's equations (70H05) Eigenvalues, singular values, and eigenvectors (15A18) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (1)

Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem

Cites Work

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• Unique normal forms: The nilpotent Hamiltonian case
• The restricted three body problem revisited
• Bifurcation at nonsemisimple 1:-1 resonance
• The monodromy in the Hamiltonian Hopf bifurcation
• Hamiltonian normalization in the restricted many-body problem by computer algebra methods
• Bifurcations in Hamiltonian systems. Computing singularities by Gröbner bases

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