基于BP网络和RBF网络的模糊系统建模

Ｗｈｅｎａｐｐｌｙｉｎｇａｆｕｚｚｙｃｏｎｔｒｏｌｍｅｔｈｏｄｏｒａｎｉｎｔｅｌｌｉｇｅｎｃｅｃｏｎｔｒｏｌｍｅｔｈｏｄｔｏａｎｅｆｆｅｃｔｉｖｅｃｏｎｔｒｏｌｏｖｅｒａｃｏｍｐｌｅｘｓｙｓｔｅｍ,ｉｔｉｓｓｏｍｅｔｉｍｅｓｎｅｃｅｓｓａｒｙｔｏｉｄｅｎｔｉｆｙｓｙｓｔｅｍａｔｉｃｓｔｒｕｃｔｕｒｅａｎｄｐａｒａｍｅｔｅｒｓ．Ｍａｔｈｅｍａｔｉｃａｌｌｙ,ｉｔｉｓｊｕｓｔｔｈｅｐｒｏｂｌｅｍｓｏｆｕｎｉｖｅｒｓａｌｆｕｎｃｔｉｏｎａｌａｐｐｒｏｘｉｍａｔｉｏｎａｎｄｆｕｎｃｔｉｏｎａｐｐｒｏｘｉ…     

Infinite Matrix Rings on Spaces with Signed-Weakly Gliding Hump Property

Ｌｅｔωｂｅｔｈｅｓｐａｃｅｏｆａｌｌｓｃａｌａｒｖａｌｕｅｄｓｅｑｕｅｎｃｅｓ,ａｎｄ φｉｔｓｓｕｂｓｐａｃｅｗｉｔｈｏｎｌｙｆｉｎｉｔｅｌｙｍａｎｙｎｏｎ ｚｅｒｏｃｏｏｒｄｉｎａｔｅｓ.ＡｌｉｎｅａｒｓｕｂｓｐａｃｅＥｏｆωｉｓｃａｌｌｅｄａｓｅｑｕｅｎｃｅｓｐａｃｅ.　Ｗｅｓａｙｔｈａｔａｎｏｎ ｚｅｒｏｖｅｃｔｏｒｓｅｑｕｅｎｃｅ {ｚ(ｎ) }ｉｎωｉｓａｂｌｏｃｋｓｅｑｕｅｎｃｅｉｆｔｈｅｒｅｅｘｉｓｔｓａｓｔｒｉｃｔｌｙｉｎｃｒｅａｓｉｎｇｓｅｑｕｅｎｃｅｏｆｐｏｓｉｔｉｖｅｉｎｔｅｇｅｒ…     

关于Barge和Toledo的几个问题

§ 1.Ｉｎｔｒｏｄｕｃｔｉｏｎ　Ｃｈａｉｎａｂｌｅｃｏｎｔｉｎｕａｈａｖｅｂｅｅｎｅｘｔｅｎｓｉｖｅｌｙｓｔｕｄｉｅｄｆｏｒｍａｎｙｙｅａｒｓａｎｄｈａｖｅｇｅｎｅｒａｔｅｄｎｅｗｉｎｔｅｒｅｓｔｉｎｔｈｅｒｅｃｅｎｔｙｅａｒｓａｓｔｈｅｃｈａｉｎａｂｌｅｃｏｎｔｉｎｕｕｍｗｈｉｃｈｉｓｔｈｅｉｎｖｅｒｓｅｌｉｍｉｔｓｐａｃｅｏｆａｃｏｎｔｉｎｕｏｕｓｍａｐｆｒｏｍａｃｌｏｓｅｄｉｎｔｅｒｖａｌｉｎｔｏｉｔｓｅｌｆｃａｎｂｅｒｅａｌｉｚｅｄａｓａｇｌｏｂａｌａｔｔｒａｃｔｏｒｏｆｓｏｍｅｐｌａｎ…     

NUMERICAL METHODS FOR MISCIBLE DISPLACEMENT IN POROUS MEDIA INFLUENCED BY MOBILE WATER AND IMMOBILE WATER

1　ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｒｅｃｅｎｔｙｅａｒｓ,ｔｈｅｉｎｔｅｎｔｉｏｎａｌｏｒａｃｃｉｄｅｎｔａｌｒｅｌｅａｓｅｏｆｔｈｅｃｈｅｍｉｃａｌｗａｓｔｅｓｏｎｓｏｉｌｓｈａｓｆｕｒｔｈｅｒｓｔｉｍｕｌａｔｅｄｃｕｒｒｅｎｔｉｎｔｅｒｅｓｔｓｉｎｔｈｅｍｏｖｅｍｅｎｔｏｆｃｈｅｍｉｃａｌｓ.Ｄｉｓｐｌａｃｅｍｅｎｔｓｔｕｄｉｅｓｈａｖｅｂｅｃｏｍｅｉｍｐｏｒｔａｎｔｔｏｏｌｓｉｎｓｏｉｌｐｈｙｓｉｃｓ,ｐａｒｔｉｃｕｌａｒｌｙｆｏｒｐｒｅｄｉｃｔｉｎｇｔｈｅｍｏｖｅｍｅｎｔｏｆｐｅｓｔｃｉｄｅｓ…     

REALHYPERSURFACESWITHCONSTANTPRINCIPALCURVATUREINCOMPLEXHYPERBOLICSPACES

ＡｂｓｔｒａｃｔＬｅｔＭｂｅａｒｅａｌｈｙｐｅｒｓｕｒｆａｃｅｗｉｔｈｔｈｒｅｅ．ｄｉｓｔｉｎｃｔｃｏｎｓｔａｎｔｐｒｉｎｃｉｐａｌｃｕｒ－ｖａｔｕｒｅｓｉｎｔｗｏｄｉｍｅｎｓｉｏｎａｌｃｏｍｐｌｅｘｈｙｐｅｒｂｏｌｉｃｓｐａｃｅＣＨ，ｔｈｅｎｅｉｔｈｅｒ（ａ）Ｍｈａｓｔｗｏｐｒｉｎｃｉｐａｌｃｕｒｖａｔｕｒｅｓｗｈｏｓｅｄｉｆｆｅｒｅｎｃｅｉｓｌａｒｇｅｔｈａｎｚｅｒｏａｎｄｌｅｓｓｔｈａｎｏｎｅ．（ｂ）ＴｈｅｔｈｒｅｅｐｒｉｎｃｉｐａｌｃｕｒｖａｔｕｒｅｓｏｆＭｆｏｒｍａｎｅｑｕｉｄｉｆｆｅｒｅｎｃｅｓｅｑｕｅｎｃｅｗｈｏｓｅｃｏｍｍｏｎｄｉｆｆｅｒｅｎｃｅｉｓｏｎｅ；（ｃ）Ｍｉｓｈｏｌｏｍｏｒｐｈｉｃｃｏｎｇｒｕｅｎｔｔｏａｎｏｐｅｎｐａｒｔｏｆａｔｕｂｅａｒｏｕｎｄｒｅａｌｔｗｏｄｉｍｅｎｔｉｏｎａｌｈｙｐｅｒｂｏｌｉｃｓｐａｃｅ．．Ｋｅｙｗｏｒｄｓ．Ｒｅａｌｈｙｐｅｒｓｕｒｆａｃｅｃｏｍｐｌｅｘｈｙｐｅｒｂｏｌｉｃｓｐａｃｅｔｕｂｅｌｅｑｕｉｄｉｆｆｅｒｅｎｃｅｓｅｑｕｅｎｃｅ     

一个耦合系统自由边界问题的整体古典解

§ 1　ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒｗｅｄｉｓｃｕｓｓｔｈｅｇｌｏｂａｌｃｌａｓｓｉｃａｌｓｏｌｕｔｉｏｎｏｆａｍｕｌｔｉｄｉｍｅｎｓｉｏｎａｌｑｕａｓｉｓｔａｔｉｏｎａｒｙｐｒｏｂｌｅｍ .Ｔｈｅｐｒｏｂｌｅｍｃｏｍｅｓｆｒｏｍｔｈｅｄｉｓｃｕｓｓｉｏｎｏｆａｇｒｏｗｔｈｍｏｄｅｌｏｆｓｅｌｆｍａｉｎｔａｉｎｉｎｇｐｒｏｔｏｃｅｌｌ(ｓｅｅ [1— 3])ｉｎｍｕｌｔｉｄｉｍｅｎｓｉｏｎａｌｃａｓｅ .Ｔｈｅｐｒｏｔｏｃｅｌｌｃａｎｂｅｖｉｓｕａｌｉｚｅｄａｓｈａｖｉｎｇａｐｏｒｏｕｓｓｔ…     

Two Dimensional Submanifolds in Four Manifolds with Boundary

§０．　ＩｎｔｒｏｄｕｃｔｉｏｎＦｏｒａｃｌｏｓｅｄ４－ｍａｎｉｆｏｌｄ,ｉｔｉｓｗｅｌｌｋｎｏｗｎｔｈａｔａｎｙｔｗｏｄｉｍｅｎｓｉｏｎａｌｈｏｍｏｌｏｇｙｃｌａｓｓｃａｎｂｅｒｅｐｒｅｓｅｎｔｅｄｂｙａｎｅｍｂｅｄｄｅｄｓｕｒｆａｃｅ．Ａｆｕｎｄａｍｅｎｔａｌｐｒｏｂｌｅｍｉｎ４－ｄｉｍｅｎｓｉｏｎａｌｔｏｐｏｌｏｇｙｉｓｔｏｆｉｎｄａｓｕｒｆａｃｅｗｉｔｈｍｉｎｉｍａｌｇｅｎｕｓｗｈｉｃｈｒｅｐｒｅｓｅｎｔｓｔｈｅｇｉｖｅｎｈｏｍｏｌｏｇｙｃｌａｓｓ．Ａｓｐｅｃｉａｌｃａｓｅｏｆｔｈｉｓｑ…     

混沌群作用

§ 1　ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｉｓｐａｐｅｒｉｓｔｈｅｓｅｑｕｅｌｔｏ[1 ,2 ].Ｃａｉｒｎｓｅｔａｌ.[1] ｉｎｔｒｏｄｕｃｅｄｔｈｅｎｏｔｉｏｎｏｆａｃｈａｏｔｉｃｇｒｏｕｐａｃｔｉｏｎａｓａｇｅｎｅｒａｌｉｚａｔｉｏｎｏｆｃｈａｏｔｉｃｄｙｎａｍｉｃａｌｓｙｓｔｅｍｓ(ｓｅｅｄｅｆｉｎｉｔｉｏｎｂｅｌｏｗ) .Ｔｈｅｙｓｈｏｗｅｄｔｈａｔｔｈｅｃｉｒｃｌｅｄｏｅｓｎｏｔａｄｍｉｔａｃｈａｏｔｉｃａｃｔｉｏｎｏｆａｎｙｇｒｏｕｐ ,ａｎｄｃｏｎｓｔｒｕｃｔｅｄａｃｈａｏｔｉｃａｃｔｉｏｎｏｆＧ =Ｚ×…     

关于点可数序列邻域网

Ｉｔｉｓｋｎｏｗｎｔｏａｌｌｔｈａｔｔｈｅｔｈｅｏｒｙｏｆｔｈｅｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅｃｏｖｅｒｓｂｅｏｎｅｏｆｔｈｅｍｏｓｔｉｍｐｏｒ－ｔａｎｔｓｕｂｊｅｃｔｓｉｎＧｅｎｅｒａｌＴｏｐｏｌｏｇｙ．Ｔｈｅｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅｃｏｖｅｒｓｗｉｔｈｖａｒｉｏｕｓｃｈａｒａｃｔｅｒｈａｖｅｂｅｅｎｄｉｓｃｕｓｓｅｄｂｙｍａｎｙｔｏｐｏｌｏｇｉｓｔｓ,ｓｕｃｈａｓＬｉｎａｎｄＴａｎａｋａ’ｓｐａｐｅｒ［１］ｏｎｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅＫ－ｎｅｔｗｏｒｋ．Ｉｎｔｈｉｓｐａｐｅｒ,ｗ…     

具有功能反应的两斑块扩散时滞竞争系统正周期解的存在性

§ 1　ＩｎｔｒｏｄｕｃｔｉｏｎＦｏｒｍａｎｙｓｐｅｃｉｅｓｔｈｅｓｐａｔｉａｌｆａｃｔｏｒｓａｒｅｉｍｐｏｒｔａｎｔｉｎｐｏｐｕｌａｔｉｏｎｄｙｎａｍｉｃｓ .Ｔｈｅｔｈｅｏｒｅｔｉｃａｌｓｔｕｄｙｏｆｓｐａｔｉａｌｄｉｓｔｒｉｂｕｔｉｏｎｈａｓｂｅｅｎｅｘｔｅｎｓｉｖｅｌｙｓｔｕｄｉｅｄｉｎｍａｎｙｐａｐｅｒｓ .Ｍｏｓｔｏｆｔｈｅｐｒｅｖｉｏｕｓｐａｐｅｒｓｆｏｃｕｓｅｄｏｎｔｈｅｃｏｅｘｉｓｔｅｎｃｅｏｆｐｏｐｕｌａｔｉｏｎｓｍｏｄｅｌｌｅｄｂｙｓｔｓｔｅｍｓｏｆｏｒｄｉｎａｒｙｄｉｆｆｅｒｅ…     

Dynamic analysis of a turbidostat model with the feedback control

In this paper, a mathematical model with impulsive state feedback control is proposed for turbidostat system. The sufficient conditions of existence of positive order one periodic solution are obtained by using the existence criteria of periodic solution of a general planar impulsive autonomous system. It is shown that the system either tends to a stable state or has a periodic solution, which depends on the feedback state, the control parameter of the dilution rate and the initial concentration of microorganism and substrate. By investigating the periodic solution, the period and the initial point of the periodic solution are given. The results show that turbidostat with impulsive state feedback control tends to an order one periodic solution.     

Dynamic analysis of the ethanol fermentation with the impulsive state feedback control

To keep a sustainable and steady output of ethanol, ethanol fermentation in a bio-reactor with impulsive state feedback control is formulated. The sufficient conditions for existences of order-1 periodic solution and order-2 periodic solution are obtained by using the properties of the periodic solution. The results imply that ethanol fermentation tends to an order-1 periodic solution or order-2 periodic solution. At the same time, we also give the complete expression of the period of the positive period-1 solution. Finally, discussions and numerical simulations are given.     

Bifurcation analysis in an SIR epidemic model with birth pulse and pulse vaccination

The dynamical behavior of an SIR epidemic model with birth pulse and pulse vaccination is discussed by means of both theoretical and numerical ways. This paper investigates the existence and stability of the infection-free periodic solution and the epidemic periodic solution. By using the impulsive effects, a Poincaré map is obtained. The Poincaré map, center manifold theorem, and bifurcation theorem are used to discuss flip bifurcation and bifurcation of the epidemic periodic solution. Moreover, the numerical results show that the epidemic periodic solution (period-one) bifurcates from the infection-free periodic solution through a supercritical bifurcation, the period-two solution bifurcates from the epidemic periodic solution through flip bifurcation, and the chaotic solution generated via a cascade of period-doubling bifurcations, which are in good agreement with the theoretical analysis.     

一类时滞反应扩散方程的周期解和概周期解

通过构造上、下控制函数，结合上、下解方法及相应的单调迭代方法研究了一类时滞反应扩散方程，证明了在反应项非单调时，如果一雏边值问题存在一对周期（或概周期）上、下解，则方程一定存在唯一的周期（或概周期）解．并给出了二维边值问题周期（或概周期）解存在唯一性的充分条件．推广了已有的一些结果。     

具有Monod-Haldane功能反应和脉冲效应的捕食系统的动力学性质

基于综合害虫防治,对具脉冲效应的Monod—Haldane功能反应的捕食系统进行了分析,根据Floquet乘子理论,获得了害虫灭绝周期解全局渐近稳定与系统持续生存的条件．并讨论了害虫灭绝周期解附近分支出非平凡周期解的问题,且文章利用Matlab软件对害虫灭绝周期解害虫周期爆发现象进行了数值模拟．     

The existence, uniqueness and stability of positive periodic solution for periodic reaction-diffusion system

1. IntroductionLet fi e RN be a bounded open domain with smooth boundary afl, and for eachi E {1, 2,', m}, let Li be a second order differelltial operator defined byand Bi be a boundary operator given bywhere % denotes the outward normal derivative of m on an.We consider the following boundary value problem of the reaction-diffusion system withtime delaywhere i = 1, 2,'. I m) mr = "i(x, t -- r), r 2 0 is a constant. If r ~ 0, it means that system(I) does not include the terms of time lag…     

New travelling wave solutions for a nonlinearly dispersive wave equation of Camassa-Holm equation type

In this paper, the integral bifurcation method is used to study a nonlinearly dispersive wave equation of Camassa-Holm equation type. Loop soliton solution and periodic loop soliton solution, solitary wave solution and solitary cusp wave solution, smooth periodic wave solution and non-smooth periodic wave solution of this equation are obtained, their dynamic characters are discussed. Some solutions have an interesting phenomenon that one solution admits multi-waves when parameters vary.     

一类时滞微分系统的周期解

研究了一类具分布时滞的一阶微分系统的周期解的存在性和全局吸引性.先通过利用重合度理论中的Mawhin延拓定理讨论了周期解的存在性,建立了一些判断准则;进而通过构造适当的Lyapunov泛函以及周期解的存在性结果研究了该类时滞微分系统的周期解的全局吸引性,获得了保证其周期解全局吸引的充分性条件.     

POSITIVE PERIODIC SOLUTION TO A CLASS OF NONLINEAR PERIODIC DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY

In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results of the existence of positive periodic solution about the equation are obtained.     

Stable Periodic Solutions of Periodic Systems of Differential Equations

An infinitely differentiable periodic two-dimensional system of differential equations is considered. It is assumed that there is a hyperbolic periodic solution and there exists a homoclinic solution to the periodic solution. It is shown that, for a certain type of tangency of the stable manifold and unstable manifold, any neighborhood of the nontransversal homoclinic solution contains a countable set of stable periodic solutions such that their characteristic exponents are separated from zero.