This paper highlights the relevance of connectivity and its architecture as a general conceptual framework which underlies and integrates the concepts of network vulnerability, complexity, and resilience. In particular, it will be pointed out that connectivity architecture can be considered an explicit key element for network vulnerability and shock propagation. While the relevance of the various connectivity configurations is not clearly emphasised in the dynamic complexity models of the space-economy, it appears to play a primary role in network analysis. In this regard, the emerging recognition of connectivity architecture in relation to hubs ‒ and hierarchies of hubs ‒ in a complex network will help the enhancement of network resilience. The paper develops as follows. First, the notion of network vulnerability, which refers not only to the phenomenon of shocks, but also to the propagation of shocks in a network, will be examined. Here it appears that modelling vulnerability and shock propagation, also jointly with cascading disaster models, is strongly based on connectivity issues. The question is: How can conventional (complex) system dynamic modelling, as well as network modelling, take into account these shocks and connectivity dynamics from the methodological viewpoint? A review in this respect shows how connectivity is a ‘hidden’ element in these complexity models, for example, in chaos or (dynamic) competition models, where interaction parameter values might lead to vulnerable domains and chaotic behaviour. On the contrary, connectivity and its various topologies have a distinct, primary role in network analysis. The issue of network resilience appears therefore to be the ‘response’ to vulnerability and chaos, calling for robustness and stability of the network in the presence of shocks and disruptions. Resilience analysis refers to the speed at which a network returns to its equilibrium after a shock, as well as to the perturbations/shocks that can be absorbed before the network is induced into some other equilibrium (adaptivity). Connectivity is relevant here, but not often considered in spatial economics. In order to reach a unified methodological framework, attention will finally be paid to a complementary analysis of the (dynamic) concepts of vulnerability and resilience. In this light, chaos models/properties might be seen in a positive perspective, since small changes can lead to uncertain and unstable effects, but also, thanks to connectivity, to new equilibria which are not necessarily negative. Thus, the architecture of connectivity, in its interdisciplinary insights, can be considered as a fundamental (and analytical) approach for identifying vulnerability and resilience patterns in complex networks.

本文强调了连接性及其架构的相关性，作为一个通用概念框架，该框架是网络脆弱性、复杂性和弹性概念的基础和整合。特别要指出的是，连接架构可以被视为网络脆弱性和冲击传播的明确关键要素。虽然在空间经济的动态复杂性模型中没有明确强调各种连接配置的相关性，但它似乎在网络分析中发挥着主要作用。在这方面，对复杂网络中与枢纽和枢纽层次结构相关的连接架构的新认识将有助于增强网络弹性。论文发展如下。首先，网络漏洞的概念，这不仅是指冲击现象，而且是指冲击在网络中的传播，将被研究。在这里，建模脆弱性和冲击传播，以及级联灾难模型，似乎都强烈地基于连通性问题。问题是：如何进行常规（复杂）系统动态建模，以及网络建模,从方法论的角度考虑这些冲击和连通性动态？在这方面的评论显示了连接性如何成为这些复杂模型中的“隐藏”元素，例如，在混沌或（动态）竞争模型中，交互参数值可能导致易受攻击的域和混沌行为。相反，连通性及其各种拓扑在网络分析中具有独特的主要作用。因此，网络弹性问题似乎是对脆弱性和混乱的“反应”，需要在存在冲击和中断的情况下保持网络的稳健性和稳定性。弹性分析是指网络在受到冲击后恢复平衡的速度，以及在网络被引入其他平衡（适应性）之前可以吸收的扰动/冲击。连通性在这里很重要，但在空间经济学中并不经常考虑。为了达成统一的方法框架，最终将关注对脆弱性和复原力（动态）概念的补充分析。从这个角度来看，混沌模型/属性可以从积极的角度看待，因为微小的变化可能导致不确定和不稳定的影响，而且由于连通性，新的平衡不一定是负面的。因此，连通性架构在其跨学科见解中可以被视为识别复杂网络中的脆弱性和弹性模式的基本（和分析）方法。连通性在这里很重要，但在空间经济学中并不经常考虑。为了达成统一的方法框架，最终将关注对脆弱性和复原力（动态）概念的补充分析。从这个角度来看，混沌模型/属性可以从积极的角度看待，因为微小的变化可能导致不确定和不稳定的影响，而且由于连通性，新的平衡不一定是负面的。因此，连通性架构在其跨学科见解中可以被视为识别复杂网络中的脆弱性和弹性模式的基本（和分析）方法。连通性在这里很重要，但在空间经济学中并不经常考虑。为了达成统一的方法框架，最终将关注对脆弱性和复原力（动态）概念的补充分析。从这个角度来看，混沌模型/属性可以从积极的角度看待，因为微小的变化可能导致不确定和不稳定的影响，而且由于连通性，新的平衡不一定是负面的。因此，连通性架构在其跨学科见解中可以被视为识别复杂网络中的脆弱性和弹性模式的基本（和分析）方法。最后将关注对脆弱性和复原力（动态）概念的补充分析。从这个角度来看，混沌模型/属性可以从积极的角度看待，因为微小的变化可能导致不确定和不稳定的影响，而且由于连通性，新的平衡不一定是负面的。因此，连通性架构在其跨学科见解中可以被视为识别复杂网络中的脆弱性和弹性模式的基本（和分析）方法。最后将关注对脆弱性和复原力（动态）概念的补充分析。从这个角度来看，混沌模型/属性可以从积极的角度看待，因为微小的变化可能导致不确定和不稳定的影响，而且由于连通性，新的平衡不一定是负面的。因此，连通性架构在其跨学科见解中可以被视为识别复杂网络中的脆弱性和弹性模式的基本（和分析）方法。