排序方式: 共有54条查询结果,搜索用时 15 毫秒
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一类mathieu方程的分叉性和复杂性 总被引:1,自引:0,他引:1
用理论和数值计算方法对一类Mathieu方程进行了研究.发现该振动系统存在着广泛的周期分叉、混沌行为、对称性、“跳跃”现象、“放大”和“缩小”现象等一系列复杂的行为,并对调整系统参量以改变系统运动性态的间题作了初步的探讨. 相似文献
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欧拉动弯曲问题的分岔和混沌 总被引:4,自引:1,他引:3
吴锋民 《非线性动力学学报》1994,1(3):267-270
用数值计算方法对一类欧拉动弯曲问题刊物进行了研究。发现该振动系统存在着广泛的周期分岔和混沌等行为。对系统出现的对称混沌问题也作了初步的探讨。 相似文献
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在一维随机成核生长模型的基础上,考虑粒子的扩散和粒子数密度的影响,在最近邻及次近邻条件下模拟得到一些聚集生长的图形,并分析了其分形特征。 相似文献
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Chessboard-like substrates are introduced in this paper, in order to study the diffusion-limited aggregation (DLA)and the motion of poly-atoms on heterogeneous surfaces. The effect of morphology of such substrates upon the cluster aggregation is investigated using the Monte Carlo simulation. It is found that the growth process and the cluster morphology are governed by the energetic topography of the substrates. Our simulation also indicate that the island density and the fractal dimension of the clusters depend strongly on the substrate topography and the activation energy. 相似文献
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欧拉动弯曲问题的混沌控制 总被引:1,自引:1,他引:0
吴锋民 《非线性动力学学报》1997,4(2):178-184
用周期激振力法、参数共振微扰法和延时反馈控制方法对欧拉动弯曲问题的混沌行为进行了控制,通过计算受控系统的Lyapunov指数来确定控制参数,得到受控后系统的高周期、低周期和准周期等稳定周期振动结果,。 相似文献
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Based on the Bhatangar-Gross-Krook (BGK) models, numerical simulation using the lattice Boltzmann model is performed to investigate the optimized surface pattern in a micro-channel. In order to simulate the practical situation correctly, a slip/no-slip boundary condition is applied with making several assumptions. To assess the validity and efficiency of the model, one benchmark problem with considering the surface patterns is studied. Numerical results show the value of rms velocity Vrms increases with the increasing ratio β and larger Reynolds number Re, higher fluctuation of the rms oscillating velocity. Furthermore, the results show that a good mixing effect can be obtained when Re is large enough and the ratio β is about 1.618,which is the appropriate choice, i.e. the well known golden section phenomenon. 相似文献
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The behavior of nano-confined water is expected to be fundamentally different from the behavior of bulk water.At the nanoscale,it is still unclear whether water flows more easily along the convergent direction or the divergent one,and whether a hourglass shape is more convenient than a funnel shape for water molecules to pass through a nanotube.Here,we present an approach to explore these questions by changing the deformation position of a carbon nanotube.The results of our molecular dynamics simulation indicate that the water flux through the nanotube changes significantly when the deformation position moves away from the middle region of the tube.Different from the macroscopic level,we find water flux asymmetry(water flows more easily along the convergent direction than along the divergent one),which plays a key role in a nano water pump driven by a ratchet-like mechanism.We explore the mechanism and calculate the water flux by means of the Fokker-Planck equation and find that our theoretical results are well consistent with the simulation results.Furthermore,the simulation results demonstrate that the effect of deformation location on the water flux will be reduced when the diameter of the nanochannel increases.These findings are helpful for devising water transporters or filters based on carbon nanotubes and understanding the molecular mechanism of biological channels. 相似文献