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Zbl 1102.37037
Han\ss mann, H.; van der Meer, J.C.
On nondegenerate Hamiltonian Hopf bifurcations in 2DOF systems. (English)
[A] Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 476-481 (2005). ISBN 981-256-169-2/hbk

Summary: We give a short review of available methods to determine the nondegeneracy of Hamiltonian-Hopf bifurcations in three-degree-of-freedom systems. We illustrate the geometric method to more detail, using the example of the Lagrange top.
MSC 2000:
*37J20 Bifurcation problems
34C23 Bifurcation (periodic solutions)

Keywords: nondegeneracy; Hamiltonian-Hopf bifurcations; three-degree-of-freedom systems

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