Abstract
Frictional oscillations under the action of almost periodic force are studied. The modulation equations are derived by the multiple scales method to study bifurcations behavior. Heteroclinic Melnikov function is constructed to obtain the region of chaotic solutions of these equations. Bifurcations of almost periodic orbits are studied by Van der Pol transformation and averaging procedure.
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Avramov, K.V., Awrejcewicz, J. Frictional Oscillations Under the Action of Almost Periodic Excitation. Meccanica 41, 119–142 (2006). https://doi.org/10.1007/s11012-005-0409-x
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DOI: https://doi.org/10.1007/s11012-005-0409-x