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Nonlinear dynamics of a sinusoidally driven lever in repulsive magnetic fields

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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… Click to show full 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.

Keywords: driven lever; dynamics sinusoidally; repulsive magnetic; sinusoidally driven; nonlinear dynamics; lever repulsive

Journal Title: Nonlinear Dynamics
Year Published: 2017

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