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- W2157568857 abstract "Some dynamical properties of a bouncing ball model under the presence of an external force modelled by two nonlinear terms are studied. The description of the model is made by the use of a two-dimensional nonlinear measure-preserving map on the variable's velocity of the particle and time. We show that raising the straight of a control parameter which controls one of the nonlinearities, the positive Lyapunov exponent decreases in the average and suffers abrupt changes. We also show that for a specific range of control parameters, the model exhibits the phenomenon of Fermi acceleration. The explanation of both behaviours is given in terms of the shape of the external force and due to a discontinuity of the moving wall's velocity." @default.
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- W2157568857 date "2007-12-12" @default.
- W2157568857 modified "2023-10-18" @default.
- W2157568857 title "A bouncing ball model with two nonlinearities: a prototype for Fermi acceleration" @default.
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- W2157568857 doi "https://doi.org/10.1088/1751-8113/41/1/015104" @default.
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