Necessary condition of periodic numbers in 3N+1 conjecture;
3N+1猜想中周期数存在的必要条件
Some conclusions on periodic function;
关于周期函数的一些结果
By constructing periodic function, the periodic demand of Fourier transformation will be meeted.
该方法通过构造周期函数,满足了频域法中进行Fourier变换的周期性条件,从而克服了经典频域三点法中直线形状误差的非封闭性、非周期性以及端点的不连续而引起的高阶谐波分量失真等边缘效应。
We mainly use the Brouwer s theorem getting sufficient conditions for the existence of a unique asyptotically stable periodic solution to two competition species when the intrinsic growth rates are periodic functions of time.
利用不动点定理得到了两竞争物种当自然增长率为t的周期函数时唯一、稳定的正周期解存在的充分条
At the same time,by means of computations of period constants,the necessary conditions for such isochronous center are obtained.
同时通过对周期常数的计算,得到了该复解析系统的等时中心的必要条件,并利用多种有效途径逐一证明了条件的充分性。
The paper introduces the transformation of the quasi-analytic systems into complex analytic systems and solution to center conditions and isochronous center conditions for a class of quasi-analytic systems by means of computations of singular point values and period constants.
首先,将拟解析系统转化为复解析系统,然后通过对奇点量和周期常数的计算,得到了该拟解析系统的中心条件和等时中心条件。
Hopf-Flip bifurcations of a two-degree-of-freedom mechanical system with periodic coefficients;
一类周期系数力学系统的Hopf-Flip分岔
Global asymptotic stability for delay difference equations with periodic coefficients;
具周期系数时滞差分方程的全局渐近稳定性
The coupled linear partial differential equations with periodic coefficients are derived using the Newton method.
利用牛顿法推导了带周期系数的线性偏微分方程;用Galerkin有限元素法离散该方程的空间变量;运用基于Floquet理论的Hsu近似法及坐标变换——常系数近似法处理周期系数。
Borg s Theorem is an important theorem which determine the stability of second order linear differential equation with periodic coefficient, and it is impossible to improve this Theorem in some significance.
Borg定理是判定周期系数二阶线性微分方程稳定的一个重要定理,这个定理在一定意义下是不可改进的。
The stability of two order linear differential equation with periodic coefficient is determined by its characteristic exponent.
周期系数二阶线性方程的稳定性由其特征指数确定,本文给出一种由系数直接估计特征指数的方法,简单且实用。
Two numerical methods for solving time varying periodic coefficient Lyapunov differential equations are proposed,both of which are based on Fourier series expanding and the precise integration method.
提出了基于Fourier级数展开与精细积分来求解线性时变周期系数Lyapunov微分方程的数值方法。
Under a first integral curve is genus 1,the period function of quadratic reversible systems is monotonious,through the research on the monotonicity of the period function of a class of quadratic reversible systems,by the use of the Picard-Fuchs equation method in this paper.
利用Picard-Fuchs方程,研究了一类二次可逆系统周期函数的单调性问题,获得了在首次积分曲线是亏格1时的二次可逆系统周期函数单调的结论。
This thesis of Master is composed of four chapters,which mainly studies several kinds of the second order nonlinear differential equations about the oscillatory and asymptotic behavior of solutions,the existence of limit cycles and the period function of a center.
本硕士论文由四章组成,主要讨论了几类二阶非线性微分方程解的振动性与渐近性,极限环的存在性以及中心的周期函数的单调性。
Firstly,the period function can be written as T(ρ,ε)=2π+(?)T_i(ρ)ε~i,andthen the formulas for T_i(ρ) is given.
讨论了一类平面多项式系统的周期函数的临界周期的个数。
Cannot calculate number of periods using the arguments provided.
无法使用提供的参数计算周期数。
The Almost Periodic Solution to Quadratic Differential Equation with Almost Periodic Coeffecients;
二次概周期系数微分方程的概周期解
The Relationship of Pseudo Almost Periodic Function and Pseudo Almost Periodic Function Sequence;
伪概周期函数和伪概周期序列的关系
The Periodic Solutions To Volterra Differential Equations With Periodic Coeffecients;
周期系数Volterra模型的周期解
Also Talk about the Existence of Minimal Positive Period in Periodic Function;
也谈周期函数的最小正周期的存在性
time constant of the aperiodic component
非周期分量的时间常数
Probed into cycle function and cycle properties of the sum,the difference,the product and the quotient of it;
对周期函数及其和、差、积、商函数周期性的探讨
Studied periodic function and its least positive period.
研究了周期函数及其最小正周期的若干问题。
Almost Periodic Type Functions and Solutions of Almost Periodic Type Differential Equations;
概周期型函数和概周期型微分方程的解
Periodic Solution of Linear Autonomous Neutral Differential Equations with Delays;
常系数线性中立型方程的一般周期的周期解
HIGHER ORDER BIFURCATION OF CRITICAL PERIODS FROM A PLANAR POLYNOMIAL SYSTEM
一类平面多项式的周期函数的高阶临界周期
On the 2-periodic(0,δ~m)Trigonometric Interpolation Problem of Antiperiodic Function
反周期函数的2-周期(0,δ~m)三角插值的收敛性
Converts a serial number to a day of the week
将日期的序列数转换成一周中的天数
Hilbert Series of Partial Period Preprojective Algebra;
偏周期预投射代数的Hilbert级数
The period of a set of modular sequence of Fibonacci Sequence;
Fibonacci数列的一组模数列的周期
A Numerical Differentiation Method for Period Function with Noisy Data
一种带噪声的周期函数数值微分方法
Period of Fibonacci sequence modulo F_k(k>3)
Fibonacci数列关于模F_k(k>3)的模数列的周期
By using properties of scalar almost periodic function, properties of uniform almost periodic matrix function are discussed.
利用纯量概周期函数性质讨论了一致概周期矩阵函数的一些性质。
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