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periodic system 【化學】周期系統。

Firstly , acoustic waves propagation in id quasi - periodic system is studied by means of the transfer matrix method . the transmission rate , reflection rate , energy flow , logarithmic energy flow , energy density and lyapunov exponent are obtained numerically . we explain all these parameters “ relations with frequency and the size of system , and compare these p arameters with those o f periodic system . we find that these parameters are fractal in this quasi - period system 通過轉移矩陣的方法,數值地得到了系統的傳播系數t _ n 、反射系數r _ n ,能流密度j _ n 、能量密度e _ n 、李雅譜諾大指數_ n ,給出了以上各量與系統大小n以及頻率之間的關系,發現這些量存在著與周期系統不同的準周期性質,其能量會出現局域化現象,能流以及能量密度都具有分形結構,給出了相應的理論解釋。

Firstly , acoustic waves propagation in id quasi - periodic system is studied by means of the transfer matrix method . the transmission rate , reflection rate , energy flow , logarithmic energy flow , energy density and lyapunov exponent are obtained numerically . we explain all these parameters “ relations with frequency and the size of system , and compare these p arameters with those o f periodic system . we find that these parameters are fractal in this quasi - period system 通過轉移矩陣的方法,數值地得到了系統的傳播系數t _ n 、反射系數r _ n ,能流密度j _ n 、能量密度e _ n 、李雅譜諾大指數_ n ,給出了以上各量與系統大小n以及頻率之間的關系,發現這些量存在著與周期系統不同的準周期性質,其能量會出現局域化現象,能流以及能量密度都具有分形結構,給出了相應的理論解釋。

periodic table

Firstly , acoustic waves propagation in id quasi - periodic system is studied by means of the transfer matrix method . the transmission rate , reflection rate , energy flow , logarithmic energy flow , energy density and lyapunov exponent are obtained numerically . we explain all these parameters “ relations with frequency and the size of system , and compare these p arameters with those o f periodic system . we find that these parameters are fractal in this quasi - period system 通過轉移矩陣的方法,數值地得到了系統的傳播系數t _ n 、反射系數r _ n ,能流密度j _ n 、能量密度e _ n 、李雅譜諾大指數_ n ,給出了以上各量與系統大小n以及頻率之間的關系,發現這些量存在著與周期系統不同的準周期性質,其能量會出現局域化現象,能流以及能量密度都具有分形結構,給出了相應的理論解釋。

We organized the whole paper as follow : in section 1 , we introduce the background of this article in brief and give out the improved model and do some prepare works ; in section 2 , we will prove the system is uniformly persistant under some conditions ; in section 3 , we will prove the system is globally asymptotically stable by using lyapuvov function ; in section 4 , we will give sufficient conditions of the existence , uniquness and global asymptotical stability of positive almost periodic , solutin of the almost , periodic system 全文安排如下:第一節簡要介紹了本文的研究背景,給出改進后的模型并進行了適當的準備工作;第二節證明了一定條件下系統的解是一致持久的;第三節通過構造lyapunov函數的方法證明了一定條件下系統的解是全局漸近穩定的;第四節給出了概周期系統的正概周期解的存在唯一性和全局漸近穩定性的充分條件。

Two different kinds of approximate theories for analyzing colored noise are employed in the nonlinear system . then effects of the colored nature of the noise on the statistical properties of the laser system , the stochastic resonance of bistable system , and the steady - state probability current of quasi - periodic system are investigated 本文主要通過兩種不同的色噪聲近似理論,分析了非線性系統噪聲的有色性對激光系統的統計性質、準周期性系統的定態幾率流和雙穩系統中的隨機共振現象的影響。

The iterative learning control has been raised as a new control concept . by correcting the current control command using the previous system error data instead of the exact system parameters , iterative learning control can effectively suppress the vibration of the highly periodic system 迭代學習控制不需知道系統的具體動力學參數,只要系統運動具有一定周期性,它便能利用系統先前的控制經驗和輸出誤差來修正當前的控制信息,從而達到良好的控制效果。

The phenomenon of noise - induced transport of brownian particles in periodic and quasi - periodic systems with coupling between multiplicative colored noise and additive white noises is investigated 在含有耦合的乘性色噪聲和加性白噪聲的周期性和準周期性系統中,我們分析了噪聲誘導的布朗粒子的輸運現象。

It is found that the noise color can suppresses the noise - induce transport of brownian particles both in periodic and in quasi - periodic systems 結果發現在周期性和非周期性系統中,噪聲的有色性抑制了噪聲誘導的布朗粒子的輸運現象。

In periodic systems , the time interval between two corresponding points on successive cycles 周期系統中,在相繼兩循環中兩個對應點之間的時間間隔。

The instable almost periodic solutions to a class of higher dimensional almost periodic systems 一類高維概周期系統的不穩定概周期解

Periodic solutions to a class of higher dimensional periodic systems with deviating arguments 一類具偏差變元的高維周期系統的周期解

Periodic system of elements 元素周期系

A precise integration method for response problems of nonlinear periodic systems 一類非線性周期系統響應的精細積分法

The existence of dichotomies and periodic solutions of periodic system 指數型二分性和周期系統的周期解