By extending the analysis of the slow dynamics, the solutions of a double pendulum motion written as a linear superposition of Coulomb vibrations have broken symmetry concerning the driving excitation. The solutions allow a qualitative analysis not only of the quasi-periodic behavior but also of the chaotic behavior of the pendulum. The solutions permit understanding what causes an oscillation to lose its periodicity and hence become chaotic.
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Munteanu et al. (2024) studied this question.
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