复杂动力巨系统中子系统行为间相关性研究的一种新方法

复杂开放巨系统内部关系错综复杂并具有动态特征,提出了非线性相互预测算法,分析一类复杂巨系统的内部多个子系统之间行为的相互关系及表征其非线性依赖关系的耦合强度.该方法在相空间重构的基础上,仅通过小数据和微信号可得到表征子系统间依赖关系的判别值,进而通过对判别值的分析得到了各子系统的行为特征及其相互作用关系.同时文中得到的子系统间的相互作用机制,可以为金融危机的理论分析提供非线性相互预测度量.     

系统论与珠算教学的关系

系统论是专门研究系统原理与规律的科学。系统是由相互联系相互作用的各个要素组成的有一定功能的整体。珠算教学系统是由教师、学生、珠算教材、算具(教学设备)等组成的。其中还包含较小的子系统,如珠算教师的知识系统,学生的学习系统,珠算教材系     

概率论的一些新进展

近十年来,概率论发展的主要特点是:它与物理(特别是统计物理)、它与数学其它分支之间的相互渗透。下面的看法也许有一定的代表性:“利用 Gibbs 态概念将抽象概率引进统计力学和材料力学,将动态系统理论和遍历性理论应用于湍流的研究,这是新近数学进入物理学的两个重要例子。这些现象表明,抽象数学和应用数学正在相互接近,两者之间的相互作用正在产生着丰硕的成果。”     

系统论与珠算教学的关系

系统论是专门研究系统原理与规律的科学。系统是由相互联系相互作用的各个要素组成的有一定功能的整体。珠算教学系统是由教师、学生、珠算教材、算具(教学设备)等组成的。其中还包含较小的子系统，如珠算教师的知识系统，学生的学习系统，珠算教材系统等，同时算盘本身也是一个系统。系统论有三条重要的原则：整体原则，结构原则，开放原则，运用这三条原则来分析研究与指导珠算教学，对于优化教学过程，提高学生素质，会给我们很多新的启示。     

地基-结构相互作用系统的时域参数识别

提出地基-结构相互作用系统的时域参数识别方法．在建立地基-结构相互作用的计算模式和运动方程的基础上,运用扩展的卡尔曼滤波技术,将相互作用系统中的参数作为增加的状态变量,建立了该系统的时域参数识别方法．并依据大型振动台条件下的层状地基-贮仓结构相互作用系统的模型试验数据,实施了地基-结构相互作用系统时域参数识别的全过程．计算结果表明,该方法产生良好的参数估计．     

参量驱动型孤子束缚态的形成机制与内部动力学特征 *

研究非线性参量共振系统中双孤子束缚态的形成机理和内在动力学 ,尤其是孤子的周期“碰撞”行为和相互作用的非线性复杂性 .结果表明 :( 1 )因存在着单阱势 ,同极性双孤子无论相距多远总是相互吸引的 ;它们最终形成振荡型或驻波型孤子束缚态 ;( 2 )束缚态中的每个孤子的动量具有单向性 ,孤子的周期“碰撞”行为实际上是双孤子的不断合并和再生这两个相反过程的动态平衡 ;( 3)在低阻尼的情形下 ,系统内部高频振动模式的激发导致孤子相互作用呈现出一定程度的无规性或混沌性、甚至导致束缚态空间对称性的破损 .     

模糊合作博弈局中人参与水平间相互作用度量

本文基于经典合作博弈局中人间相互作用现象的有关度量方法,针对具有模糊联盟的合作博弈问题,给出了模糊联盟中各局中人参与水平间相互作用的度量方法,定义了水平间相互独立性概念,建立了反映局中人各参与水平间相互作用平均程度的两指标:Shapley相互作用指标及Banzhaf相互作用指标.同时对于具有k-单调性的模糊合作博弈局中人参与水平间的边缘相互作用的有关性质作了进一步研究,得出了一些新的结论.     

多孔介质中两相驱离的格子Boltzmann模型新研究

利用粒子之间相互作用,即同种物质粒子相互吸引,异种物质粒子相互排斥这一物理化的原理研究并提出了一个新型的模拟多孔介质中二相驱离的格子玻耳兹曼模型,结果表明它能有效地模拟多孔介质中的二相驱离问题,且节省机时,分界面上涨落也小,不必采取任何平均措施.     

安全投资经济效益的一种评估模型

从企业是否有安全投资及事故损失分析了生产系统的三种状态.通过对生产系统中现金流量的变化分析了投入、产出和安全投资效益的内在变化关系.通过"有无对比法"对生产系统"有安全投资"与"无安全投资"进行对比,分析了生产系统在极端状态和现实状态两种状态下安全投资效益与事故损失之间的相互作用和变化规律,推导出通常情况下安全投资效益与事故损失的相互变化的4种关系,及其每种关系下的安全投资效益.推导结论为企业进行安全投资效益评估提供了理论依据,从企业角度建立起了评估安全投资效益的基本理论.     

双剑合璧彰显数学之美

数学中，有一些概念、定义、定理在结构上、性质上、用途上颇为相似，存在紧密联系．它们就像数学大家庭中的一对对“伴侣”一样，相互融合、相互渗透又相互作用、相互对比，共同诠释着数学的奥妙．笔者以高中数学几个经典知识为例，从分析数学的角度，让这一对对数学伴侣“双剑合璧”，以彰显数学别样之美．一、正、余弦定理“双剑合璧”，彰显数学“证明”之美     

On the approximation of nonlinear conflict-controlled systems of neutral type

We consider approximations of systems of nonlinear neutral-type equations in Hale’s form by systems of high-order ordinary differential equations. A procedure is given for the mutual feedback tracking between the motion of the original neutral-type conflict-controlled system and the motion of the approximating system of ordinary differential equations. The proposed mutual tracking procedure makes it possible to use approximating systems of ordinary differential equations as finite-dimensional modeling guides for neutral-type systems.     

Expert Systems and Operational Research-Mutual Benefits

The aim of much operational research and expert systems work is similar-helping a decision maker do his job. Liaison will produce mutual benefits. Expert systems development will benefit from the experience of operational research. The operational research community is well placed to support and develop the use of such systems by management.     

Direct proofs of self- and mutual diffusion in the formation of adhesion bonds between polymers

The authors discuss experiments aimed at the direct investigation of self- and mutual diffusion in polymers. New electron microscope data are presented for mutual diffusion in the systems polyvinyl chloride — polymethyl methacrylate, polyvinyl chloride — polybutyl methacrylate, and polystyrene — SKS-85. It is shown that with increase in temperature and improvement in compatibility the depth of mutual diffusion increases. The data obtained make it possible to calculate the polymer-polymer diffusion coefficient.Mekhanika Polimerov, Vol. 2, No. 3, pp. 446–452, 1966     

Emergence of a common generalized synchronization manifold in network motifs of structurally different time-delay systems

We point out the existence of a transition from partial to global generalized synchronization (GS) in symmetrically coupled structurally different time-delay systems of different orders using the auxiliary system approach and the mutual false nearest neighbor method. The present authors have recently reported that there exists a common GS manifold even in an ensemble of structurally nonidentical scalar time-delay systems with different fractal dimensions and shown that GS occurs simultaneously with phase synchronization (PS). In this paper we confirm that the above result is not confined just to scalar one-dimensional time-delay systems alone but there exists a similar type of transition even in the case of time-delay systems with different orders. We calculate the maximal transverse Lyapunov exponent to evaluate the asymptotic stability of the complete synchronization manifold of each of the main and the corresponding auxiliary systems, which in turn ensures the stability of the GS manifold between the main systems. Further we estimate the correlation coefficient and the correlation of probability of recurrence to establish the relation between GS and PS. We also calculate the mutual false nearest neighbor parameter which doubly confirms the occurrence of the global GS manifold.     

Estimation of unknown parameters and adaptive synchronization of hyperchaotic systems

This paper investigates the chaos synchronization of two hyperchaotic systems. Based on Lasalle invariance principle, adaptive schemes are derived to make two unidirectional coupling and mutual coupling hyperchaotic systems asymptotically synchronized whether the parameters are given or uncertain, and unknown parameters are identified simultaneously in the process of synchronization. Numerical simulations of hyperchaotic Chen systems are presented to show the effectiveness of the proposed chaos synchronization schemes.     

Spurious correlation as an approximation of the mutual information between redundant outputs and an unknown input

Stochastic resonance (SR) is a counterintuitive phenomenon, observed in a wide variety of nonlinear systems, for which the addition of noise of opportune magnitude can improve signal detection. Tuning the noise for maximizing the SR effect is important both for artificial and biological systems. In the case of artificial systems, full exploitation of the SR effect opens the possibility of measuring otherwise unmeasurable signals. In biology, identification of possible SR maximization mechanisms is of great interest for explaining the low-energy high-sensitivity perception capabilities often observed in animals. SR maximization approaches presented in literature use knowledge on the input signal (or stimulus, in the case of living beings), and maximize the mutual information between the input and the output signal. The input signal, however, is unknown in many practical settings. To cope with this problem, this paper introduces an approximation of the input–output mutual information based on the spurious correlation among a set of redundant units. A proof of the approximation, as well as numerical examples of its application are given.     

Mutual synchronization behavior for chaotic systems via limited capacity communication channels

Several important properties of chaos synchronization of bidirectional coupled systems remain still unexplored. This article investigates synchronization behavior for chaotic systems subject to states quantization. Based on the invariance principle of differential equations, an adaptive feedback scheme is proposed to strictly synchronize chaotic systems via limited capacity communication channels. Furthermore, it is important to point out that the mutual synchronization behavior for bidirectional coupled systems is determined by the amount of transmitting information and the initial states of coupled systems. © 2015 Wiley Periodicals, Inc. Complexity 21: 335–342, 2016     

一类生态系统的周期解的全局渐近稳定性

本文研究了有三个种群相互作用的数学模式: 我们分别建立了系统(*)和(**)存在唯一的大范围渐近稳定的正周期解的充分条件.     

Interdisciplinarity in Operational Research — in the Past and in the Future: An Invitation to IFORS '84 in Washington D.C.

In anticipation of the main theme of the IFORS '84 Conference "Co-operation—The Culture for O.R. Success", the traditional concept of interdisciplinarity in operational research is discussed. Particular emphasis is put on two conditions for practising interdisciplinarity: (i) mutual appreciation between the disciplines and (ii) the systems terminology as a means for interdisciplinary communication.