非弹性蹦球的动力学研究

物理学报

非弹性蹦球的动力学研究

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周志刚, 石玉仁, 刘丛波, 王光辉, 杨红娟. 2012: 非弹性蹦球的动力学研究, 物理学报, 61(20): 83-87.

引用本文:

周志刚, 石玉仁, 刘丛波, 王光辉, 杨红娟. 2012: 非弹性蹦球的动力学研究, 物理学报, 61(20): 83-87.

2012: Study on the dynamics of an inelastic bouncing ball, Acta Physica Sinica, 61(20): 83-87.

Citation:

2012: Study on the dynamics of an inelastic bouncing ball, Acta Physica Sinica, 61(20): 83-87.

Study on the dynamics of an inelastic bouncing ball

摘要: 对有空气阻尼的非弹性蹦球的动力学行为进行了数值模拟，通过改变控制参数V0，蹦球的运动表现出倍周期分岔、混沌等非线性现象，采用0-1检测法和最大Lyapurtov指数证实了这种现象．
- 非弹性蹦球 /
- 0—1检测法 /
- 混沌 /
- 颗粒物质
Abstract: Considering the case of air damping, we use the method of numerical simulation to study dynamic behavior of inelastic bouncing ball. By changing the value of control parameter Vo, the motion of the bouncing ball exhibits nonlinear phenomena of period doubling bifurcation, chaos, etc. These phenomena are confirmed by both 0-1 test and maximal Lyapunov exponent.