Towards the Structure and Mechanisms of Complex Systems, the Approach of the Quantitative Theory of Meaning

• URL: http://arxiv.org/abs/2412.09007v1
• Date: Thu, 12 Dec 2024 07:18:47 GMT
• Title: Towards the Structure and Mechanisms of Complex Systems, the Approach of the Quantitative Theory of Meaning
• Authors: Inga Ivanova, John S. Torday,
• Abstract summary: We study analysis of complex systems using a Quantitative Theory of Meaning developed as an extention of Shannon's Communication Theory. The dynamics of the system are provided by reflexive communication between heterogenious agents.
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• Abstract: 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.

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