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The stability of the linear periodic system is determined by it's characteristic exponent. This paper studies how to assign characteristic exponent for linear periodic system. In order to do this, the original system has to be converted to the block controllable form by rotating transform first.
摘要线性周期系统的稳定性完全由它的特征指数决定,该文研究如何配置线性周期系统的特征指数,为了配置特征指数,首先需要用旋转变换将原系统化简成块能控标准形。
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The characteristic exponent based on a probabilistic dynamical system is calculated, which provides some useful information on unstable periodic orbits of the chaotic economic dynamical system. An effective controlling parameter is chosen by discussing the sign of the characteristic exponent. Furthermore, the control regions of the parameter variable are proposed. Therefore the controllable domain of chaos in the chaotic economic model can be obtained.
提出一种等价关系,计算基于概率的动力系统的特征指数,给出混沌经济动力系统的不稳定周期轨道的有用信息,通过讨论特征指数的符号,选择有效的控制参数,得到相应的控制参数取值范围,从而得到混沌经济模型中的参数变量的混沌控制域。
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By the use of the component sandstone electric conductivity model, the effect of the pore structure characteristic parameter to cementation exponent m and saturation exponent n in the Archie formula were studied. It can be found the cementation exponent m mainly reflects the pore space size and its sizes distribution. The m is bigger, the pore space is bigger, the throat is simpler, and the reservoir is better.
通过致密砂岩电导模型分析研究致密砂岩孔隙结构特征参数对Archie公式中的胶结指数m和饱和度指数n的影响,发现岩石胶结指数m主要是岩石孔隙空间大小及其大小分布的表征,m值越大的岩石其孔隙储集空间越大,孔喉越简单,储集性能越好;反之,m值越小,岩石储集性能越差。
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Result The medulla exponent of straight guard hair on corsac's back was 81.7%, and that on abdomen was 72.0%, the medulla exponent interval of hairs from 2 parts was 71.4 %-82.9%, indicating the medulla exponent of animals in same family had a certain difference.
结果]沙狐背部直针毛的髓质指数为81.7%,腹部为72.0%,2个部位的髓质指数区间为71.4%~82.9%,说明同科动物的髓质指数存在一定的差异。
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The integer and fractional part comprise decimal digits; the exponent part is an e or E followed by an optionally signed decimal exponent.
整数和分数部分包括十进制数;指数部分是一个 e or E 后面可选的跟着一上二进制指数。
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This article deduced out the human capital socialization exponent, the material capital socialization exponent, the management pattern socialization exponent, business culture socialization exponent and calculation formula of socialization integration exponent, and did discriminatory analysis. So it provided the base for socialization calculation.
推导出人力资本社会化指数、物质资本社会化指数、管理模式社会化指数和家族企业社会化综合指数测算公式,并进行实证检测,从而为家族企业的社会化水平定量测定提供依据。
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Deduced out the human capital socialization exponent, the material capital socialization exponent, the management pattern socialization exponent, business culture socialization exponent and calculation formula of socialization integration exponent, and did discriminatory analysis.
推导出人力资本社会化指数、物质资本社会化指数、管理模式社会化指数和家族企业社会化综合指数测算公式,并进行实证检测,从而为家族企业的社会化水平定量测定提供依据。
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Adopted the method of animal experiment, we observed the swimming time of spleen-deficient model mice, the survival rates of cold-resistant, thymus gland exponent, spleen exponent, expurgation exponent K and revised expurgation exponent a.
1采用动物实验的方法,分组观察峨参对脾虚模型小白鼠游泳时间、耐寒机能测定的存活率、胸腺指数、脾指数以及廓清指数K及校正廓清指数a。
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Chapter four studies the chaotic responses in a system consisting of simple pendulum and harmonic oscillator under bounded noise excitation. Firstly, the Melnikov function of the two-degree-of-freedom system under Hamiltonian perturbation is derived. The essential condition of the autonomous system for the probable onset of chaos is obtained, the Poincare maps of the system under small Hamiltonian perturbation and the effect of increasing perturbation on the Poincare maps are studies. Then for the non-autonomous system under damping and harmonic or bounded noise excitation, the largest Lyapunov exponent and Poincare maps are calculated. From the analysis of the largest Lyapunov exponent, the critical criterion for the onset of chaos, and the conclusion that the threshold of bounded noise amplitude for the onset of chaos in the system increases as the intensity parameter of Wiener process increases are obtained. The result from the analysis of Poincare maps is in agreement with that obtained from the Largest Lyapunov exponent. The effect of varying damping coefficient and intensity parameter of Wiener process is also analyzed.
第四章研究了有界噪声激励下的两自由度单摆—谐振子系统的混沌运动,首先推导了该两自由度系统仅在Hamilton扰动下的Melnikov函数,得到该自治系统可能产生混沌的必要条件;研究了该系统在小的Hamilton扰动和增大摄动情形下的Poincare截面;然后对有阻尼、谐和或有界噪声激励下的非自治系统数值计算了其最大Lyapunov指数和Poincare截面;从Lyapunov指数分析得到了这个两自由度系统产生混沌运动的临界条件及产生混沌的临界激励幅值随Wiener过程强度参数值的增大而增大的结论,Poincare截面分析的结果亦符合Lyapunov指数分析的结论;研究了Wiener过程强度参数、阻尼系数变化对Poincare截面的影响。
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Since Wolf put up the trajectory algorithm to Lyapunov exponent in 1985, how to calculate the Lyapunov exponent with accuracy has become a very important question. Based on the theoretical algorithm of Zuo Binwu, the matric algorithm of Lyapunov exponent is given, and the results with the results of Wolfs algorithm are compared.
Lyapunov指数l是定量描述混沌吸引子的重要指标,自从1985年Wolf提出Lyapunov指数l的轨线算法以来,如何准确、快速地计算正的、最大的Lyapunov指数lmax便成为人们关注的问题,虽有不少成功计算的报导,但一般并不公开交流。
- 推荐网络例句
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I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""
客人们在卡罗利娜·埃凯家里,举止就文雅一些,因为卡罗利娜的母亲治家很严厉。
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Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.
由著名品牌 Herm è s 设计,这件高贵的制服是香港本土制造,是我们第一套不配帽子的制服。
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Do not 'inflate' your achievements and/or qualifications or skills .
不要 '夸大' 你的业绩或成果,条件或者技能。