Smoothing Newton Algorithm for Nonlinear Complementarity Problem with a P.Function     

刘丹红  黄涛王萍 《天津大学学报(英文版)》2007,13(5):379-386

By using a smoothing function,the P nonlinear complementarity problem(P NCP)can be reformulated as a parameterized smooth equation.A Newton method is proposed to solve this equation.The iteration sequence generated by the proposed algorithm is bounded and this algorithm is proved to be globally convergent under an assumption that the P NCP has a nonempty solution set.This assumption is weaker than the ones used in most existing smoothing algorithms.In particular,the solution obtained by the proposed algorithm is shown to be a maximally complementary solution of the P NCP without any additional assumption.  相似文献   

二阶非线性脉冲微分方程的振动性     

吴红叶 《宜春学院学报》2007,29(4):29-31

利用R iccati变换和平均技巧,讨论了一类带脉冲的二阶非线性微分方程解的振动性,并得到了这类方程所有解振动的一组充分条件.  相似文献   

Computation of the Simplest Normal Forms for Resonant Double Hopf Bifurcations System Based on Lie Transform     

张琪昌何学军  郝淑英 《天津大学学报(英文版)》2006,12(3):180-185

The simplest normal form of resonant double Hopf bifurcation was studied based on Lie operator. The coefficients of the simplest normal forms of resonant double Hopf bifurcation and the nonlinear transformations in terms of the original system coefficients were given explicitly. The nonlinear transformations were used for reducing the lower- and higher-order normal forms, and the rank of system matrix was used to determine the coefficient of normal form which could be reduced. These make the gained normal form simpler than the traditional one. A general program was compiled with Mathematica. This program can compute the simplest normal form of resonant double Hopf bifurcation and the non-resonant form up to the 7th order.  相似文献   

二阶非线性串级效应及其应用     

柳永亮 《德州学院学报》2004,20(4):19-24

介绍了二阶非线性串级效应的物理机制.分析了基于二阶非线性串级过程控制激光参数的非线性装置原理.同时表明,利用二阶非线性串级效应还可用来构造与光强有关的偏振旋转器、具有自诱导透明或自诱导黑暗效应的偏振干涉仪以及腔内锁模等装置.  相似文献   

符号计算与非线性偏微分方程精确行波解     

吴国成  夏铁成 《上海大学学报(英文版)》2008,12(6):481-485

In this paper, with the aid of the symbolic computation, a further extended tanh function method was presented. Based on the new general ansatz, many nonlinear partial differential equation（s）（NPDE（s）） can he solved. Especially, as applications, a compound KdV-mKdV equation and the Broer-Kaup equations are considered successfully, and many solutions including periodic solutions, triangle solutions, and rational solutions are obtained. The method can also be applied to other NPDEs.  相似文献   

轴对称非线性介质的静电禁闭     

张晶 《荆门职业技术学院学报》2008,23(6)

研究电荷禁闭条件不仅可以促进静电场理论自身的发展,还可以对基本粒子内部结构的夸克禁闭问题提供一个直观模型与唯象的解释.文章通过给定的形式求解非线性介质静电学的基本方程,得出该问题的解析形式,特别是当系统存在轴对称的性质时求解的方法.如果适当地改变边界条件,那么这个求解方案对轴对称非线性介质静电学问题的解决具有普遍的意义.  相似文献   

粒子群算法求解基于广义Choquet-积分的多元非线性回归模型     

肖涛  黄冬梅  张宁 《保定师专学报》2008,(4)

多元回归模型已经成为当前数据挖掘中重要的方法之一,而求解回归模型的关键问题是如何确定回归系数和模糊测度.针对以往使用遗传算法确定回归系数和模糊测度时间复杂度高和收敛速度较慢的问题,使用一种高效的搜索算法——粒子群算法求解基于广义Choquet-积分的多元非线性回归模型,分别在人工数据和真实数据上进行实验,对粒子群算法和遗传算法进行比较.结果表明,用粒子群算法求解该模型不仅比遗传算法收敛速度快,而且还能搜索到比遗传算法更优的解.  相似文献   

具有库仑摩擦的非线性单摆运动过程的数值分析   总被引：1，自引：0，他引：1  

宫成立  侯祥林 《南通职业大学学报》2008,22(2)

文章研究了具有库仑摩擦的非线性单摆的运动过程数值分析方法,即将随运动量变化而变化的库仑摩擦力矩含在状态的程序数值积分过程中,给出了自由摆动过程和强迫摆动过渡过程的一般分析思想;并给出了具体算例,以表明分析结果的可行性,为精确系统模型中阻尼系数的确定提供了一种计算方法。  相似文献   

A novel LMI-based optimization algorithm for the guaranteed estimation of the domain of attraction using rational Lyapunov functions     

O. Hachicho 《Journal of The Franklin Institute》2007,344(5):535-552

In this article we deal with the classical problem of estimating the domain of attraction (DOA) of autonomous dynamical systems. We propose a new LMI estimation method based on recent results from the mathematical theory of moments. In contrast to previous works we exploit the advantages of rational Lyapunov functions to enhance the estimates. Several examples illustrate the estimation method.  相似文献   

科技评价的智能信息处理方法研究   总被引：4，自引：0，他引：4  

孙宏元  黄德云  朱东华 《预测》2002,21(4):28-29,59

本文通过对科技评价及其数学背景的复杂性深刻分析，提出以技术机会分析手段代替一般的基于关键词的查新，以提高科技评价的客观性和公正性。文中首次人出了科技评价的非线性模型一般形式，并指出了求解这样复杂问题的可行方法。  相似文献