Nonlinear dynamics of a sinusoidally driven lever in repulsive magnetic fields |
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| Authors: | B. Nana S. B. Yamgoué R. Tchitnga P. Woafo |
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| Affiliation: | 1.Department of Physics, Higher Teacher Training College,University of Bamenda,Bamenda,Cameroon;2.Laboratory of Electronics and Signal Processing, Faculty of Science,University of Dschang,Dschang,Cameroon;3.Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science,University of Yaounde I,Yaoundé,Cameroon |
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| Abstract: | We study bifurcations and chaotic behavior of a periodically forced lever that is magnetically controlled. The system is extremely simple and low cost and can be assembled in a very short time. Both the theoretical simulations and the experimental measurements exhibit regions of periodic and chaotic behaviors, depending on the system parameters. Amplitude jumps, hysteresis and bistable states are also observed. The wide possibilities of varying the system parameters make the experiments suitable for demonstrations. Good agreements are found between our theoretical results and experimental ones. |
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