Dynamics of a charged particle in a dissipative Fermi-Ulam model

Dynamics of a charged particle in a dissipative Fermi-Ulam model
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DOI:
10.1016/j.cnsns.2014.06.003
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发表时间:
2013-12
期刊:
Commun. Nonlinear Sci. Numer. Simul.
影响因子:
--
通讯作者:
D. G. Ladeira;E. Leonel
D. G. Ladeira;E. Leonel
中科院分区:
其他
文献类型:
--
作者:
D. G. Ladeira;E. Leonel

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研究了限制在带电壁之间的金属粒子的动力学。一堵墙是固定的,另一堵墙则随时间平稳、周期性地移动。通过假设颗粒与粗糙表面之间的接触产生的摩擦力来考虑耗散。我们研究了模型的简化版本和完整版本的相空间。我们的结果包括(i)规则运动岛与位于完整模型中相空间低能量部分的吸引子共存; (ii) 吸引子与轨迹共存,在简化模型中呈现出无限的能量增长。
The dynamics of a metallic particle confined between charged walls is studied. One wall is fixed and the other moves smoothly and periodically in time. Dissipation is considered by assuming a friction produced by the contact between the particle and a rough surface. We investigate the phase space of the simplified and complete versions of the model. Our results include (i) coexistence of islands of regular motion with an attractor located at the low energy portion of phase space in the complete model and; (ii) coexistence of attractors with trajectories that present unlimited energy growth in the simplified model.