Vanishing twist in the Hamiltonian Hopf
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H.R. Dullin; A.V. Ivanov
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Article
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2005
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Elsevier Science
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English
β 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