Abstract
In this communication we deal with the analysis of Hamiltonian Hopf bifurcations in 4-DOF systems defined by perturbed isotropic oscillators (1-1-1-1 resonance), in the presence of two quadratic symmetries I 1 and I 2. As a perturbation we consider a polynomial function with a parameter. After normalization, the truncated normal form gives rise to an integrable system which is analyzed using reduction to a one degree of freedom system. The Hamiltonian Hopf bifurcations are found using the ‘geometric method’ set up by one of the authors.
Original language | English |
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Pages (from-to) | 664-674 |
Journal | Regular and Chaotic Dynamics |
Volume | 12 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2007 |