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函数的周期

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This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容:第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统,利用微分方程比较原理得到该系统一致持续生存的条件;通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

In the present paper, we shall show that there are many elliptic invariant tori of the equation for a given analytic potential which is not necessary to be constant.

在这篇文章中,证明对于给定的解析势函数,不一定是常数,方程存在许多椭圆不变环面,与 Kuksin 和 Poschel 的文章不同的是,不变环面上承载的是高频的拟周期解。

Nonlinear flexural wave equation is solved by the Jacobi elliptic function expansion method. Two kinds of exact periodic solutions of the nonlinear equations are obtained, that is, the shock wave solution and the solitary wave solution. The necessary condition for existence of exact periodic solutions, shock solution and solitary solution is discussed, which is consistent with the qualitative analysis.

利用Jacobi椭圆函数展开法,对该非线性方程进行求解,得到了非线性波动方程的准确周期解及相对应的孤波解和冲击波解,讨论了这些解存在的必要条件,这与定性分析的结果完全相同。

For a class of networked control systems with equality constraint ,this paper addresses the problem of designing controller,sampling period and the maximum allowable delay bound.

针对一类具有等式约束的网络控制系统控制器、采样周期以及最大允许延迟时间的设计问题,采用李亚普诺夫函数、线性矩阵不等式的方法,推导出了该网络控制系统渐近稳定的充分条件。

At the beginning of this paper we are devoted to studying the equicontinuity on the set of periodic points. Later we are researching on the property of the invariant set and measures dimension of the self-similiar IFS.

本文前面一部分主要着眼于连续映射在其周期点集上的等度连续性的研究,后面一部分主要涉及到相似迭代函数系统不变集性质和测度的维数的研究。

Using kronecker product of matrix theory, basic link space code chips are recombined and a new kind of LS code is obtained.

对基本LS码片用矩阵中克罗内克积方法重新排列,得到了一类新的LS码,并从数学上证明了这类新码非周期自相关函数具有均匀的IFW,以及组内码字之间的IFW也是均匀分布的。

In phase calculate of phase-shifting interference technique,Because of the periodicity of function arctan,all the phase values are ranged over-π to π.

在移相干涉技术的相位计算中,周期函数arctan的相位值分布在之间,相位值分布的跃变形成了被压包后的波面。

Based on dynamic simulation of refrigeration systems, membership functions used in the fuzzy control of superheat in evaporator are optimized using genetic algorithms.

在设计模糊控制器的过程中,需要反复调整和测试模糊控制器的隶属度函数和控制规则,这就使得控制器的设计周期和成本都很高。

Using the discrete dynamical system determined by the stroboscopic map, we obtain an exact 1-periodic solution of the system which is with Ricker function and obtain the threshold conditions for its stability.

运用由频闪映射决定的离散动力系统,得到了具Ricker功能函数系统的精确1-周期解,并讨论了它在临界条件下的稳定性。

In this paper, We study the spectral counting function for one dimensional p-Laplace operator. We prove the existence of a two term Weyl-type asymptotic with mixed and periodic boundary-value conditions. This is the generalization of Laplace operator with mixed and periodic boundary-value conditions.

本文研究一维p-Laplace算子谱点的计数函数,在混合边值及周期边值条件下得到一个精确到第二项的Weyl型渐近式,它是Laplace算子在这两种边值条件下的推广。

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