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| Format: | Artículo científico |
| Language: | en |
| Published: |
Sociedade Brasileira de Física
2008
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| Online Access: | https://www.redalyc.org/articulo.oa?id=46413551011 |
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Table of Contents:
- A Simplified Fermi Accelerator Model Under Quadratic Frictional Force Danila F. Tavares Edson D. Leonel Física, Astronomía y Matemáticas Damping Forces Fractal Basin Boundary Fermi Accelerator Model Some dynamical properties for a simplified version of a one-dimensional Fermi Accelerator Model under the action of a small dissipation is studied. The dissipation is introduced via a damping force which is assumed to be proportional to the square particle's velocity. The dynamics of the model is described by using a two-dimensional, nonlinear area contracting mapping for the variables velocity of the particle and time. Our results confirm that the structure of the phase space of the conservative version is replaced by a large number of attracting periodic orbits. For a fixed set of control parameters, we obtain many periodic attractors and show that most of them posses low period. The stable orbits produce a complex structure of basin of attraction whose limit cover almost all phase space, thus suggesting a fractality. 2008 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413551011 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.38