Volume 41, Number 2, 119-142, DOI: 10.1007/s11012-005-0409-x

Frictional Oscillations Under the Action of Almost Periodic Excitation

K. V. Avramov and J. Awrejcewicz

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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.

Keywords  Frictional oscillations - Heteroclinic orbits - Multiple scales method - Heteroclinic Melnikov function

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