A bouncing ball model with two nonlinearities: a prototype for Fermi acceleration
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
---|---|
Data(s) |
30/09/2013
20/05/2014
30/09/2013
20/05/2014
11/01/2008
|
Resumo |
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. |
Formato |
13 |
Identificador |
http://dx.doi.org/10.1088/1751-8113/41/1/015104 Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 41, n. 1, p. 13, 2008. 1751-8113 http://hdl.handle.net/11449/24911 10.1088/1751-8113/41/1/015104 WOS:000252909000011 |
Idioma(s) |
eng |
Publicador |
Iop Publishing Ltd |
Relação |
Journal of Physics A: Mathematical and Theoretical |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |