查询词典 periodic function

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Moreover,in this dissertation,a method ispresented to control safe basin with the fractal erosion,that is by the application ofthe weak parameter periodic perturbation with an optimal frequency to control thefractal erosion basin,and the analytical study shows that the essence of the methodis that the parameter periodic perturbation can be used to delay the occurrence ofhomoclinic tangencies.

并且在本文提出了一种对分形侵蚀安全域进行控制的方法，那就是应用具有最优频率的参数周期扰动对于已受到分形侵蚀的安全域加以控制，在理论分析中得到这种控制分形侵蚀安全域的方法实质上延缓了鞍点同宿相切的发生，同时考虑了外加噪声对控制后安全域的影响，得到这种控制方法具有很好的鲁棒性。

In a nonlinear system, there may be many dynamic phenomena such as periodic, quasi-periodic and chaos.

Mallat算法在小波分析中的地位就相当于FFT在经典Fourier分析中的地位。

The hyperchaotic attractors along with chaotic, periodic and quasi-periodic attractors of these systems were obtained from circuit simulations.

电路仿真获得了这类系统的超混沌吸引子及混沌、周期和准周期吸引子。

Simulation results prove that symmetry algorithm is applicable for generating the long periodic hopping pattern used in valid data communications, while random shift replace algorithm is proper for the short periodic pattern with the good balance in the range of maximum effective length, and it can be used in the situations of short-cycle emergency communications.

仿真结果表明，对偶法在长周期条件下的性能优于随机平移法，适用于产生正常通信使用的调制跳变图案；随机平移法在最大有效周期长度范围内具有很好的均衡性，适用于短周期突发通信。

Based on the nonlinear dynamical model of the rotor-bearing system with rub-impact fault, the stability of the periodic motion of the system in unbalance-rotating speed plane and rotor/stator clearance- rotating speed plane were studied by the continuation-shooting algorithm. The system periodic motion and its stability were obtained. An experimental setup was developed to investigate nonlinear vibration characteristics of such rotor bearing system.

根据碰摩转子轴承系统的非线性动力学模型，利用延拓打靶算法，在碰摩转子轴承系统不平衡量-转速和碰摩间隙-转速参数域内，研究系统的周期运动及其分岔失稳等动力学行为，得到了系统周期运动的稳定性及失稳规律；建立了研究转子轴承系统碰摩故障的实验装置，通过实验，研究了转子系统碰摩故障的非线性振动的特征。

The iterativemethod and the method of averaging are combined with the method of coordi-nate transformation in this respect,and periodic and quasi-periodic solutionsof parametrically excited systems can be obtained rapidly and effectively.

这种方法将坐标变换法、迭代法及谐波平衡法相结合，可以有效迅速地求解周期参数激励系统的周期解和概周期解，并可以判断周期解的稳定性。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi-positive definite function and completely monotone function when the function take values in a commutitive von Neumann algebras.

我们证明了完全单调函数的几个等价条件，并且讨论了取值于交换von Neumann代数的正定函数，半正定函数及完全单调函数之间的关系。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。