Chapman C. Richard
A is a group of independent but interrelated elements comprising a unified whole. A collection of elements comprises a complex system if open and dynamic connections and interactions exist between its components and contribute to the behavior of the collective. An open system is one that exists far from energetic equilibrium; that is, it takes in energy and expels waste. Formally, a complex system is any open system that involves a number of elements arranged in a structure and that requires many scales for adequate measurement. Such systems go through processes of change that defy description by a single rule or by reduction to a single level of explanation. Complexity is a scientific approach for studying how the interacting parts of a system produce collective behaviors more complex than the sum of the contributing parts, and how the system responds to, and interacts with, its environment. Complexity theory provides a framework and language for describing and modeling such processes. Complexity as a science studies the behavior of complex systems as a class using mathematical tools such as differential equations, graph theory, neural networks, time series analyses, and genetic algorithms as well as descriptive, predictive, and simulation modeling. Complexity theorists differ from conventional scientists in that they address unpredictable, nondeterministic processes within systems that do not decompose into simpler elements. This allows them to engage natural phenomena in natural settings more readily than their conventional science counterparts. Broadly, the complexity approach employs multi-scale descriptors to characterize dynamic systems and their phenomena. Applications include the study of economies, ecologies, weather, traffic flow, social organizations, and cultures, in addition to such physiological processes as gene and immune networks. When living organisms engaged in adaptation and survival are the systems of interest, then complexity analysis falls under the heading of complex adaptive systems (CAS) (Gell-Mann 1994; Kelso 1998; Kaneko 2006). Such systems are purposeful, pro-creative and pro-active in relationship to their environments rather than simply reactive. An insect hive exemplifies a CAS, as does the immune system. When elements of a system are of interest, for example worker ants within an ant colony or antigen-presenting cells within the immune system, then modelers may designate the CAS as individual based or CASs manifest ever-changing, self-organizing behavior in response to a variable environment, and they move toward, but never sustain, equilibrium. In a classic paper, Prigogne and Stengers (1984) termed this behavior “order through fluctuations.”
A是一组独立但相互关联的元素,构成一个统一的整体。如果一个元素集合的组成部分之间存在开放且动态的联系与相互作用,并促成整体的行为,那么这个元素集合就构成了一个复杂系统。开放系统是指远离能量平衡状态存在的系统;也就是说,它吸收能量并排出废物。从形式上讲,复杂系统是任何一个开放系统,它包含许多以某种结构排列的元素,并且需要多个尺度才能进行充分的测量。这样的系统经历的变化过程无法用单一规则描述,也无法简化为单一层次的解释。复杂性是一种科学方法,用于研究系统中相互作用的部分如何产生比各组成部分之和更复杂的集体行为,以及系统如何响应其环境并与之相互作用。复杂性理论为描述和建模此类过程提供了一个框架和语言。作为一门科学,复杂性使用微分方程、图论、神经网络、时间序列分析和遗传算法等数学工具,以及描述性、预测性和模拟建模,来研究复杂系统作为一个类别时的行为。复杂性理论家与传统科学家的不同之处在于,他们研究系统内不可预测、非确定性的过程,这些过程无法分解为更简单的元素。这使得他们比传统科学家更容易在自然环境中研究自然现象。广义而言,复杂性方法采用多尺度描述符来表征动态系统及其现象。其应用包括对经济、生态、天气、交通流量、社会组织和文化的研究,此外还包括对基因和免疫网络等生理过程的研究。当涉及适应和生存的生物体作为研究对象时,复杂性分析就属于复杂适应系统(CAS)的范畴(盖尔曼,1994;凯尔索,1998;金井,2006)。此类系统相对于其环境而言是有目的、有创造力且积极主动的,而不仅仅是被动反应。一个蜂巢就是一个复杂适应系统的例子,免疫系统也是。当系统的元素成为研究对象时,例如蚁群中的工蚁或免疫系统中的抗原呈递细胞,建模者可能会将复杂适应系统指定为基于个体的。复杂适应系统表现出不断变化的、自组织的行为以响应多变的环境,并且它们朝着平衡状态移动,但永远不会维持在平衡状态。在一篇经典论文中,普里戈金和斯唐热(1984)将这种行为称为“通过涨落达到有序”。