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- For a dynamic system, if there is a (quasi) weakly almost periodic point but not an almost periodic point, then there exists a subsystem which is chaotic in the sense of revised Devaney. 摘要得到一个动力系统如果存在非几乎周期的（拟）弱几乎周期点，则存在子系统在修改的狄万内意义下是混沌的。
- Weakly almost periodic points 弱几乎周期点
- Pseudo Orbit Tracing Property and Almost Periodic Point 伪轨跟踪性与几乎周期点
- (quasi) weakly almost periodic （拟）弱几乎周期点
- Almost periodic point 几乎周期点
- Existence of almost periodic solutions for a class of pendular equations. 一类摆动方程概周期解的存在性。
- By using properties of scalar almost periodic function, properties of uniform almost periodic matrix function are discussed. 摘要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。
- Since H. Bohr proposed the theory of almost periodic function, this field has been developed greatly. Bohr提出概周期函数理论以来;这一领域得到了很大的发展;其发展过程的一个主要特点就是其函数范围不断扩大.
- The paper introduces the concept of chaos in the sense of semigroup action.It is showed that transitive and denseness of periodic points imply sensitive. 摘要引进了半群混沌作用的概念，证明了若半群S在紧致度量空间X上的连续作用满足拓扑可迁和周期点稠两个条件，则此作用满足对初值的敏感依赖性。
- The authors investigate the Fourier series of Weyl almost periodic functions by the new definition and prove the Parseval's equality. 通过新形式的定义研究范尔概周期函数的傅立叶级数和帕塞瓦尔等式。
- Through the analysis, it is shown that the critical periodic point as a function of refractive index is very important to fabricate the antireflective subwavelength grating. 同时证明，临界周期点随折射率的变化规律在亚波长抗反射光栅的制作中有重要的作用。
- A nonlinear Volterra integrodifferential equation is investigated. The existence and uniqueness of almost periodic solutions for the equation is obtained. 研究非线性Volterra方程概周期解,得到方程存在唯一概周期解的一组充分条件。
- Sequela period point to come on after rising 2 years, right now face paralysis still presses permanent facial nerve irreparably paralytic processing. 后遗症期指发病起2年以后，此时面瘫仍不能恢复则按永久性面神经麻痹处理。
- Using the method of topological degree, we prove the existences of positive almost periodic solutions for a generalizaed infectious diseases model equation. 摘要给出推广的传染病方程正概周期解存在的一个定理，并用拓扑度方法给出简洁的证明。
- The computation of lyapunov exponent with different parameters shows that there were double periodic, almost periodic and chaotic motion behavior in this system. 通过对系统李雅普诺夫指数的计算，发现了该系统存在倍周期、概周期运动以及混沌运动现象。
- Another definition of Weyl almost periodic functions is introduced by using trigonometric polynomial. it is proven that the equivalence of these two definitions. 摘要利用三角多项式给出范尔概周期函数新形式的定义，并证明两个定义方式的等价性。
- By means of above conclusion, we obtain the topological entropy within each "window" in chaotic region and on U-sequence RL~aR~b period points, we also get the relation of ~hR*Q(f)=(l/2)~hQ(f). 在此基础上;我们还求得了混沌区的周期窗口;U序列RL~aR~b所对应的各点处的拓扑熵;以及h_(R*Q)(f)=(1/2)h_Q(f)的关系。 证明是在M.
- It is shown that f has a periodic point with period not a power of 2, if and only if there is a chain reccurent point x of f, such that x is asymptotically periodic but non-periodic. 本文证明了f有周期为非2方幂的周期点,当且仅当存在f的链回归点x,使得x是渐近周期点但不是周期点。
- We present existence theorem for pseudo almost periodic solutions with piecewise constant argument by means of unique decomposite character and for pseudo almost periodic sequence solutions of relevent difference equations. 摘要利用伪概周期函数唯一分解性质，研究相关差分方程的伪概周期序列解，并以此为工具得出一类带逐段常变量微分方程伪概周期解的存在唯一性。
- The results of Berger and Chen are extended. And the variational method is proved to be available to solve the existence and uniqueness of the almost periodic solutions of nonlinear Duffing equations with damping. 推广了Berger和Chen的结果,证明了经典的变分方法对于解决带阻尼的非线性Duffing方程有界解的存在唯一性问题是同样适用的。
