The \(1:\pm 2\) resonance

DOI10.1134/S156035470706007XzbMath1229.37039arXiv0708.3919MaRDI QIDQ655299

Heinz Hanßmann, Richard H. Cushman, Sven Schmidt, Holger R. Dullin

Publication date: 3 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3919

zbMATH Keywords

bifurcationmonodromynormal formresonant oscillatorssingular reductionenergy-momentum mapping

Mathematics Subject Classification ID

Related Items (10)

Singular reduction of resonant Hamiltonians ⋮ Dynamics near the \(p: - q\) resonance ⋮ Uncovering fractional monodromy ⋮ An energy-momentum map for the time-reversal symmetric 1:1 resonance with \(\mathbb Z_2{\times}\mathbb Z_2\) symmetry ⋮ Infinitesimally stable and unstable singularities of 2-degrees of freedom completely integrable systems ⋮ Polynomial separable indefinite natural systems ⋮ The 1:1 resonance in Hamiltonian systems ⋮ Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem ⋮ On the detuned 2:4 resonance ⋮ Bifurcation Sequences in the Symmetric 1:1 Hamiltonian Resonance

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