We study analysis of complex systems using a Quantitative Theory of Meaning developed as an extention of Shannon's Communication Theory. The approach consideres complexity not in terms of the manifestation of its effects which are manifestation of the dynamics of the system, but in terms of primary causes and taking into account the topology of the system. Here, the dynamics of the system are provided by reflexive communication between heterogenious agents that make up the system. Unlike Shannon's Communication Theory the Theory of Meaning imposes restrictions on the complex systems being analyzed. Non-linearity and specific dynamics of the system arise as a consequence of the topology of the system. This topology also suggests a method for analyzing complex systems, the logistic Continuous Wavelet Transform (CWT). The paper also lays the foundation for future research in various fields studying complex systems of interacting geterogeneous agents, which may form a new paradigm for better understanding the structure, mechanisms, and dynamics of complex systems.
翻译:本研究采用作为香农通信理论扩展而发展的意义定量理论来分析复杂系统。该方法并非从系统动力学表现所呈现的效应层面考量复杂性,而是着眼于根本成因并综合考虑系统拓扑结构。在此框架下,系统动力学由构成系统的异质智能体之间的自反性通信所驱动。与香农通信理论不同,意义理论对分析的复杂系统施加了特定约束。系统的非线性特征与特定动力学行为是系统拓扑结构的必然结果。该拓扑结构同时提出了一种分析复杂系统的方法——逻辑连续小波变换(CWT)。本文还为研究异质智能体交互复杂系统的多个领域奠定了未来研究基础,这可能形成理解复杂系统结构、机制与动力学的新范式。