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Title of Journal: Celest Mech Dyn Astr

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Abbravation: Celestial Mechanics and Dynamical Astronomy

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Springer Netherlands

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ISSN

1572-9478

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Universal unfolding of symmetric resonances

Authors: Antonella Marchesiello Giuseppe Pucacco
Publish Date: 2014/06/25
Volume: 119, Issue: 3-4, Pages: 357-368
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Abstract

We present the analysis of the bifurcation sequences of a family of resonant 2DOF Hamiltonian systems invariant under spatial mirror symmetry and time reversion The phasespace structure is investigated by a singularity theory approach based on the construction of a universal deformation of the detuned Birkhoff–Gustavson normal form Thresholds for the bifurcations of periodic orbits in generic position are computed as asymptotic series in terms of physical parameters of the original systemWe acknowledge useful discussions with C Efthymiopoulos H Hanßmann G Gaeta and F Verhulst A M is supported by the European social fund “Support of intersectoral mobility and quality enhancement of research teams at Czech Technical University in Prague” CZ107/2300/300034 G P is partially supported by INFN Sezione di Roma Tor Vergata by the European MCITN Grant “Stardust” and by GNFMINdAM

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