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Main Authors: Ivanova, Inga, Torday, John S.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.09007
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author Ivanova, Inga
Torday, John S.
author_facet Ivanova, Inga
Torday, John S.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_09007
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Towards the Structure and Mechanisms of Complex Systems, the Approach of the Quantitative Theory of Meaning
Ivanova, Inga
Torday, John S.
Computers and Society
Adaptation and Self-Organizing Systems
94A05, 94A15
H.0; H.1; J.0; J.4
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.
title Towards the Structure and Mechanisms of Complex Systems, the Approach of the Quantitative Theory of Meaning
topic Computers and Society
Adaptation and Self-Organizing Systems
94A05, 94A15
H.0; H.1; J.0; J.4
url https://arxiv.org/abs/2412.09007