What is it about?
This work develops a mathematical model that mirrors natural complex systems like markets and banking networks, combining deterministic evolution laws with random elements. While the model aligns with stochastic differential equations in specific scenarios, it generally presents unique characteristics suggesting non-equivalence to such systems. Simulations reveal that the dynamics, though stable, display unpredictability and traits of thermodynamic non-equilibrium, highlighting its potential to explore new aspects of complex system behaviors.
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Why is it important?
It is not an easy task, and certainly not prescriptive, to construct a stable complex system. In this model, complexity is evident: Note the rapid expansion of complexity of the inherent building blocks --- operators denoted F_m. Stability is evidenced by simulations, based on the well-developed theoretical framework.
Perspectives
The publication does not display figures. The figures may be found in the preprint version: https://arxiv.org/pdf/1903.02396 My co-author and I have collaboratively developed the framework, which originated in: A. Sowa, Interacting Bose gas, the logistic law, and complex networks, Russian Journal of Mathematical Physics, Vol. 22, No 1 (2015), 98-111.
Dr Artur P Sowa
University of Saskatchewan
Read the Original
This page is a summary of: An Almost-Solvable Model of Complex Network Dynamics, Russian Journal of Mathematical Physics, October 2020, Pleiades Publishing Ltd,
DOI: 10.1134/s1061920820040068.
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