The suppression of chaos in the driven pendulum due to a small parametric modulating term is studied theoretically with Melnikov's method, and the results are compared with those from classical perturbation theory. I obtained coherent results for the initial phase differences between the two modulations for which the chaotic dynamics is regularized. It is also shown that these values are compatible with the surviving natural symmetry under the parametric modulation.
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Ricardo Chacón (1995) studied this question.
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