Tensor-Centric Warfare V: Topology of Systems Confrontation

• 作者: Darryn Reid Peyam Pourbeik Vladimir Ivancevic
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: Tensor-Centric Warfare SYSTEMS CONFRONTATION Systems-Battlespace TOPOLOGY Cobordisms and MORSE Functions Morse-Smale Homology Morse-Witten Cohomology Hodge-De Rham Theory
• 年，卷（期）: 2019,（1）
• 页码范围: 13-45
• 页数: 33页
• 分类号: O1

摘要

In this paper, as a new contribution to the tensor-centric warfare (TCW) series [1] [2] [3] [4], we extend the kinetic TCW-framework to include non-kinetic effects, by addressing a general systems confrontation [5], which is waged not only in the traditional physical Air-Land-Sea domains, but also simultaneously across multiple non-physical domains, including cyberspace and social networks. Upon this basis, this paper attempts to address a more general analytical scenario using rigorous topological methods to introduce a two-level topological representation of modern armed conflict;in doing so, it extends from the traditional red-blue model of conflict to a red-blue-green model, where green represents various neutral elements as active factions;indeed, green can effectively decide the outcomes from red-blue conflict. System confrontations at various stages of the scenario will be defined by the non-equilibrium phase transitions which are superficially characterized by sudden entropy growth. These will be shown to have the underlying topology changes of the systems-battlespace. The two-level topological analysis of the systems-battlespace is utilized to address the question of topology changes in the combined battlespace. Once an intuitive analysis of the combined battlespace topology is performed, a rigorous topological analysis follows using (co)homological invariants of the combined systems-battlespace manifold.