Dynamical properties of a dissipative hybrid Fermi-Ulam-bouncer model.
Dynamical properties of a dissipative hybrid Fermi-Ulam-bouncer model.
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DOI：
10.1063/1.2712014
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发表时间：
2007-03
期刊：
影响因子：
2.9
通讯作者：
D. G. Ladeira;E. Leonel
中科院分区：
文献类型：
--
作者：
D. G. Ladeira;E. Leonel
研究了混合费米-乌拉姆弹子模型中遭受非弹性碰撞的经典粒子的一些耗散后果。该模型的动力学由二维非线性区域收缩图描述。在弱和中等耗散的限制下，我们报告了危机的发生，在高耗散的限制下，模型呈现出双分叉级联。此外，我们还展示了当耗散变化时成对固定点湮灭的现象。
Some consequences of dissipation are studied for a classical particle suffering inelastic collisions in the hybrid Fermi-Ulam bouncer model. The dynamics of the model is described by a two-dimensional nonlinear area-contracting map. In the limit of weak and moderate dissipation we report the occurrence of crisis and in the limit of high dissipation the model presents doubling bifurcation cascades. Moreover, we show a phenomena of annihilation by pairs of fixed points as the dissipation varies.