基于广义混沌同步的数字图像隐藏方案

基于广义混沌同步理论，提出了一种适于网络图像传输的隐藏数字图像的安全通讯方案．构造了一个六维广义混沌同步系统作为新方案的加密器，理论分析和计算机模拟说明本方案具有较高的保真度和较强的抗破译能力．     

Existence of heteroclinic orbits in a novel three-order dynamical system

In this paper,we design a novel three-order autonomous system.Numerical simulations reveal the complex chaotic behaviors of the system.By applying the undetermined coefficient method,we find a heteroclinic orbit in the system.As a result,the Si’lnikov criterion along with some other given conditions guarantees that the system has both Smale horseshoes and chaos of horseshoe type.     

阿德福韦抗乙肝病毒感染治疗动力学模型

基于阿德福韦(Adefovir dipivoxil)与安慰剂治疗180余位HBeAg阴性的慢性乙型肝炎(CHB)患者国际联合研究的临床数据,以及Nowak等人提出的不带效应细胞的乙肝病毒(HBV)感染模型,提出了一个由两个系统组成的数学模型, 模型对CHB患者的阿德福韦治疗效果提供了一种可能的解释, 特别是可以解释为什么患者血浆中病毒数目在停止免疫治疗后会迅速反弹. 该模型对长期的疗效做出预测:血清HBV DNA接近中位数的患者需要延长治疗时间到5.6 a,以清除CHB患者体内的HBV. 本研究提示:将血清DNA小于500 copies·mL-1作为评价疗效的标准过于粗糙.     

三端口四态变量CNN原理在肿瘤生长方程中应用

提出了一种在抗癌免疫监视下的肿瘤生长细胞神经网络(GIsAC CNN)模型.用具有3个端口4个态变量CNN的解析判别法研究了GusAC CNN的分歧图.数值模拟了癌细胞扩散和清除过程.研究结果似乎表明:效应细胞对癌细胞的清除起着至关重要作用,细胞组织中存在免疫缺陷,可能导致癌细胞的转移与扩散.     

Construction of Generalized Synchronization for a Kind of Array Differential Equations and Applications

Chaos synchronization, as a special complex phenomenon, has been studied for about a decade. Only recently, have generalized chaotic synchronization phenomena been realized to be general in the real world and to have potential applications. We present two theorems for constructing a kind of array differential equations with generalized synchronization (GS) with respect to linear transformations. Two array differential equation systems with GS are introduced based on our theorems. Numerical simulations show that the two systems display periodic GS and chaotic GS, respectively.     

A Topological Degree for Multivalued Generalized A-proper Mappings

The aim of this note gives a generalization of the degree theory for single valued G-A-proper mappings of [4] and a degree theory for multivalued G-A-proper mappings. Let (X,Y) be a pair of separable Banach spaces with given approximation scheme {X_n, Y_n, Q_n} ([2] Section2). Let D be an open bounded subset of X.     

对霍奇公式的初步意见

在钻井防斜打直理论中,广泛采用霍奇公式计算满眼钻具两个扶正器的最佳安装位置。本文对霍奇公式提出了—些看法所讨论的钻井防斜钻具的力学模型是纵横弯曲杆的非线性力学体系,在推导横向力公式时,不能象原公式那样用线性叠加原理处理;原公式在计算下扶正器横向位移时,忽略了一些不应忽略的因素,对计算上扶正器的最小安装高度带来了可观的误差;第三,原公式在计算上扶正器最大安装高度时应用了欧拉公式,忽略了下扶正器的存在,实际上,不应以钻柱失稳与否为临界条件,而应以保证下扶正器恒与上井壁接触来进行计算。本文采用了纵横弯曲杆的挠度近似公式,最后求得双扶正器防斜钻具的横向力近似表达式,并对该式进行了简单的分析,求出了为极大值的h_优,计算较为简便。     

Generalized Synchronization of Time-Delayed Differential Systems

We establish two theorems for two time-delayed （chaotic） differential equation systems to achieve time-delayed generalized synchronization （TDGS）. The theorems uncover general forms of two TDGS systems via a prescribed differentiable transformation. Based on the theorems, we use two-coupled Ikeda equations as the driving system to construct TDGS driven systems via two prescribed transformations. Numerical simulations demonstrate the effectiveness of the proposed theorems. It may be expected that our theorems provide new tools for understanding and studying TDGS phenomena.