Algebraic methods for determining Hamiltonian Hopf bifurcations in three-degree-of-freedom systems
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Publication:2574145
DOI10.1007/s10884-005-4575-2zbMath1078.37041OpenAlexW2004924305MaRDI QIDQ2574145
Heinz Hanßmann, Jan-Cees van der Meer
Publication date: 18 November 2005
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://research.tue.nl/nl/publications/389235da-aea8-4361-93b6-de23ea734a1b
bifurcationreductionnormal formsingularityHamiltonian systemHénon-Heiles familyHamiltonian Hopf relative equilibria
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Related Items (12)
Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields ⋮ Normal linear stability of quasi-periodic tori ⋮ Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance ⋮ Bifurcations of the Hamiltonian fourfold 1:1 resonance with toroidal symmetry ⋮ Periodic Solutions and KAM Tori in a Triaxial Potential ⋮ Hamiltonian Hopf bifurcations near a chaotic Hamiltonian resonance ⋮ Hamiltonian fourfold \(1:1\) resonance with two rotational symmetries ⋮ Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\) ⋮ Classification of perturbations of the hydrogen atom by small static electric and magnetic fields ⋮ Relative equilibria and bifurcations in the generalized van der Waals 4D oscillator ⋮ Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential ⋮ Bifurcations and monodromy of the axially symmetric \(1:1:-2\) resonance
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