The monodromy in the Hamiltonian Hopf bifurcation

DOI10.1007/s000330050086zbMath0897.70013OpenAlexW2038619339MaRDI QIDQ1379507

J. J. Duistermaat

Publication date: 25 February 1998

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

Full work available at URL: https://dspace.library.uu.nl/handle/1874/2406

zbMATH Keywords

equilibrium pointHamiltonian system with two degrees of freedomnondiagonalizable resonance

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields, Monodromy of Hamiltonian systems with complexity 1 torus actions, Hamiltonian monodromy and Morse theory, Parallel transport along Seifert manifolds and fractional monodromy, Birkhoff normalization, bifurcations of Hamiltonian systems and the deprits formula, Bifurcations of the Hamiltonian fourfold 1:1 resonance with toroidal symmetry, Recent advances in the monodromy theory of integrable Hamiltonian systems, Vanishing twist in the Hamiltonian Hopf bifurcation, Classification of perturbations of the hydrogen atom by small static electric and magnetic fields, Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem, On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials, Dynamics near the invariant manifolds after a Hamiltonian-Hopf bifurcation