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Hamiltonian Hopf Bifurcation with Symmetry

✍ Scribed by Pascal Chossat; Juan-Pablo Ortega; Tudor S. Ratiu

Publisher
Springer
Year
2002
Tongue
English
Weight
243 KB
Volume
163
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES

Vanishing twist in the Hamiltonian Hopf
Vanishing twist in the Hamiltonian Hopf bifurcation
✍ H.R. Dullin; A.V. Ivanov πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 518 KB

The Hamiltonian Hopf bifurcation has an integrable normal form that describes the passage of the eigenvalues of an equilibrium through the 1 : -1 resonance. At the bifurcation the pure imaginary eigenvalues of the elliptic equilibrium turn into a complex quadruplet of eigenvalues and the equilibrium