SOME ASPECTS OF A PARAMETRIC SIMPLE PENDULUM DYNAMICS
Jose C Sartorelli, Gabriela I Depetri, Felipe AC Pereira, Boris Marin, Murilo S Baptista
By constructing basins of attractions and by numerical continuation techniques, some unexpected aspects of parametric resonances in a single pendulum are described. Odd resonances not predictable by the Melnikov method for vertical excitation have been numerically investigated for degenerate period-3 attractors. For excitations tilted up to 7pi /180, there are two different types of period-3 attractors, for phi>7pi /180 just one type of period-3 attractor is observed.