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1.
若f(x,y)在不动点为鞍点的特征值满足λ1>1>|λ2|>0,|λ1·λ2|<1,则f(x,y)限制在鞍点的局部有公式α=1+1nr是局部熵,α是局部分维数.把公式应用到Henon映射中,当α=1.4,b=0.3时,得到1nr=0.454,α=1.244.  相似文献   

2.
桑波  朱思铭 《数学年刊A辑》2007,28(2):267-272
对于一般情形,给出焦点量和鞍点量计算与约化的Maple算法,从而统一了焦点量和鞍点量的计算,并给出细焦点与细鞍点的变换,利用变换推导了焦点量和鞍点量的关系.  相似文献   

3.
对于一般情形,给出焦点量和鞍点量计算与约化的Maple算法,从而统一了焦点量和鞍点量的计算,并给出细焦点与细鞍点的变换,利用变换推导了焦点量和鞍点量的关系.  相似文献   

4.
具有星形结点的平面五次系统的全局结构分析   总被引:2,自引:1,他引:1       下载免费PDF全文
该文对具有星形结点的平面五次系统的全局结构的拓扑分类应用Ⅰ Ⅳ型区域(见[2]),讨 论了平面五次系统(1)的全局结构的拓扑分类,并得到93种全局结构及其右边多项式系统的判定方法。   相似文献   

5.
何炳生 《应用数学》1993,6(1):31-38
根据作者最近提出的求解线性规划问题的鞍点法[3],本文对带框形约束的问题 min c~Tx, s,t A_x=b, l≤x≤h,给出简单的迭代公式.该法的主要优点是它的强收敛性和它的迭代公式非常容易实现.  相似文献   

6.
伍小林 《应用数学》1992,5(2):113-115
本文考虑的多目标最优控制问题为f(x,u,t)dt,rOfJ中(劣,u)=必(t)=A(t)工(t) B(t),a .e.[OT〕,二(0)=劣。,g(“,t)墓0,对丫t任〔OT〕,劣任AC”【OT〕,u任L:[OT〕, n 扭/11!l!尸F rr/rr rT_rT_.、T其中)。f‘“,“,‘’d‘垒L」。f,“,“,‘’d‘,」。f,“,“,‘’d‘,‘”,J。f,(劣,“,‘’“‘)中(二,。)垒(价;(二,u),功2(二,u),…,价,(劣,。))T,所以 rT功“x,“’“〕。f“‘,“,‘’d‘,“二‘,“,一p,·AC”〔oT〕为〔oT〕上绝对连续n维向量函数空间,L:〔OT〕为印T」上勒贝格测度基本有界,维向量函数空间.f‘:R”xRmx〔oT…  相似文献   

7.
本文给出了较[1]更一般的曲面鞍点的概念.并得到角型鞍点的一个特性。  相似文献   

8.
首先提出了一类新的非线性规划-SKT不变凸非线性规划(简称SKT不变凸).其次,在实线性赋范空间的基础上,给出了Fritz-John点和Fritz-John鞍点,Kuhn-Tucker点和Kuhn-Tucker鞍点的概念,并初步探讨了两类鞍点的特征.最后,围绕SKT不变凸及似凸的概念对鞍点的特征做了进一步的拓展.  相似文献   

9.
利用向量值广义凸函数等概念,讨论了一类不可微广义分布式规划的Lagrange函数,在适当条件下,证明了广义分式规划中的鞍点存在性定理。  相似文献   

10.
在没有Landesman-Lazer型约束条件的情况下,本文获得了一类涉及第一特征值的拟线性强振动方程非平凡解的存在性.  相似文献   

11.
共振的半线性椭圆方程Dirichlet问题解的多重性   总被引:1,自引:0,他引:1  
使用极小极大方法获得非线性非自治无界共振的半线性椭圆方程Dirichlet问题解的多重性结果。  相似文献   

12.
In this paper, the author has given an existence theorem for the resonant equa-tion,-△pu=λ1|u|p-2u+f(u)+h(x), without any Landesman-Lazer conditions on h(x).  相似文献   

13.
The dynamics of the one-sector optimal growth model with recursive utility is analyzed through the use of a phase diagram. The steady state uniquely exists and is a saddle point. An increase in recursivity lowers both the steady-state capital and steady-state consumption. The model differs from the constant discount rate model in that a reduction in the population growth rate or a Hicks-neutral technical progress increases the steady-state consumption but not necessarily the steady-state capital.This research was supported in part by Indiana University through an Outstanding Young Faculty Award for which the author is grateful.The author is particularly indebted to Robert Becker and John Boyd for a careful reading of and detailed comments on an earlier draft, and to Frank Raymond and an anonymous referee for suggesting various expositional improvements. He is also indebted to Roy Gardner, Nori Hashimoto, and Nicolas Spulber for their suggestions.  相似文献   

14.
For a broad class of iterative algorithms for solving saddle point problems, the study of the convergence and of the optimal properties can be reduced to an analysis of the eigenvalues of operator pencils of a special form. A new approach to analyzing spectral properties of pencils of this kind is proposed that makes it possible to obtain sharp estimates for the convergence rate.  相似文献   

15.
动态环境约束下企业的资本积累   总被引:1,自引:0,他引:1  
邬安沙  李亚琼 《经济数学》2006,23(4):394-399
本文讨论动态环境约束下企业的动态投资行为,拓广了文献[4]的结果.为了使讨论的问题更符合实际情况,本文假设政府设定的污染排放上限是与企业的规模大小有关,即假设污染排放上限是生产资本的函数,讨论动态环境约束下企业的最佳动态投资行为,并为政府制定污染排放政策提供依据.  相似文献   

16.
由于模糊信息在现实世界中的大量存在及鞍点规划在管理科学、系统科学等诸多领域中的重要应用。本文提出了模糊鞍点规划。根据模糊鞍点规划数学模型的特点确定了。模糊目标隶属函数形式,通过推广的多变量模糊决策,将模糊鞍点规划转化为一个普通的非线性规划问题。  相似文献   

17.
In this paper, we introduce systems of simultaneous generalized vector equilibrium problems and prove the existence of their solutions. As application of our results, we derive the existence theorems for solutions of systems of vector saddle–point problems. Consequently, we prove the existence of a solution of systems of generalized minimax inequalities. Further application of our results is also given to establish the existence of a solution of a Debreu-type equilibrium problem for vector-valued functions. The first author thanks the Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for providing excellent research facilities. The second and third authors were supported by the National Science Council of the Republic of China. The authors are grateful to the referees for valuable suggestions and comments.  相似文献   

18.
Approximate saddle-point theorems in vector optimization   总被引:4,自引:0,他引:4  
The paper contains definitions of different types of nondominated approximate solutions to vector optimization problems and gives some of their elementary properties. Then, saddle-point theorems corresponding to these solutions are presented with an application relative to approximate primal-dual pairs of solutions.This research was carried out while the author was working at the Bureau for Systems Analysis, State Office for Technical Development, Budapest, Hungary. The author is indebted to the referees for their useful comments.  相似文献   

19.
郭晓峰 《数学研究》2004,37(4):395-399
利用广义鞍点定理讨论了一类非自治二阶系统的多重周期解.  相似文献   

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