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Frictional Oscillations Under the Action of Almost Periodic Excitation |
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| Authors: | K V Avramov J Awrejcewicz |
| Institution: | (1) Department of Gas and Fluid Mechanics, National Technical University “Kharkov Polytechnic University”, Frunze St.21, Kharkov, 61002, Ukraine;(2) Department of Automatics and Biomechanics, Technical University of Lodz, 1/15 Stefanowskiego St, 90-924 Lodz, Poland |
| 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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