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Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries |
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| Authors: | M. A. M. de Aguiar |
| Affiliation: | Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA Instituto de Física, Universidade de São Paulo, C.P. 20516, 01498, São Paulo, S.P., Brasil |
| Abstract: | We analytically derive the possible types of isochronous and period doubling bifurcations undergone by periodic solutions of two degrees of freedom, non-integrable, Hamiltonian systems possessing reflexion and time-reversal symmetries. We find that one of the isochronous bifurcations numerically found in refs. [3] cannot exist. In the case of period-doubling we predict the existence of a type of bifurcation not found in refs. [2] and [3] but confirmed by further numerical investigation. |
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