Effect of defects on transport properties in quasiperiodic nanoscaled magnetic quantum structure 缺陷对准周期磁超晶格输运性质的影响
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On the reducibility of linear differential equations with quasiperiodic coefficients depending on parameters 一类带有参数的线性拟周期微分方程系统的可约化性
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In recent years , there are more interests in the studies of quasiperiodic structures , such as fibonacci modek general fibonacci modek pd ( period - doubling ) and tm ( thue - morse ) model 研究最广泛的一维准周期和非周期系统有fibonacci模型、广义fibonacci模型、 thue - morse模型和period - doubling模型等。
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In addition to the familiar period doubling bifurcation scenario leading to chaos , a quasiperiodic route to chaos is also observed which occurs through an initial hopf bifurcation . the current chaos control methods are compared , the stabilization of unstable periodic orbits of this chaotic system is achieved by continuous feedback control method , the specially designed external oscillator which used as target motion orbit in continuous feedback control method is obtained directly from ihb method 对现有的混沌控制方法的优缺点进行了比较，利用混沌控制理论中的连续变量反馈控制方法，实现了系统混沌吸引子内部的不稳定周期轨道的稳定化，对齿轮传动系统进行了有效的混沌控制，并对连续变量反馈方法的结果进行了分析，包括噪声的影响和方法的改进。
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In this paper , we have studied the transmission of a plane wave through a 1d quasiperiodic or aperiodic chain by numerical method . moreover the heat conduction for these chains is calculated . it is found that the heat flux j ~ n - 1 ( 0 . 5 < < 1 ) , and depends on the on - site potentials 本文首先用数值方法，计算了各种频率的平面波通过以上几种典型的一维准周期和非周期链的透射系数，并据此研究了这几种一维准周期和非周期链的热通量j与粒子数n之间的关系，得出j n ~ ( a - 1 ) ， 0 . 5 1 ，与系统中在位势的大小有关，并与其他系统的结果作了比较。
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Finally , the results are compared with periodic and random chains . then we studied acoustic wave propagation in 1d quasiperiodic and aperiodic systems by means of he transfer matrix . transmission rate , reflection rate , energy flow , logarithmic energy flow , energy density and lyapunov exponent are computed numerically , and compared with periodic and random system 其次研究了声波在几种一维准周期和非周期系统中的传播，通过转移矩阵的方法，数值地得到了系统的传播系数t _ n 、反射系数r _ n 、能流密度j _ n ，能量密度e _ n和lyapunov指数，给出了以上各量与传播长度n以及频率之间的关系，同时发现能流及能量密度都具有分形结构，并与周期和随机系统的结果作了比较。
