Control of multiscale systems with constraints. 1. Basic principles of the concept of evolution of systems with varying constraints

TL;DR

This paper introduces a self-organizing theory for multiscale systems with varying constraints, based on a generalized variation principle called dynamic harmonization, which guides the system's evolution towards internal and external harmony.

Contribution

It formulates the principle of dynamic harmonization as a new variational approach for understanding the evolution of systems with changing internal structures.

Findings

Formulation of the dynamic harmonization principle.

Development of a shell model for self-organization.

Application to systems under entropic disturbances.

Abstract

Physical fundamentals of the self-organizing theory for the system with varying constraints are considered. A variation principle, specifically the principle of dynamic harmonization as a generalization of the Gauss-Hertz principle for the systems with varying internal structure is formulated. In compliance with this principle the system evolves through dynamics of the processes leading to harmonization of the internal multiscale structure of the system and its connections with external actions as a result of minimizing the dynamic harmonization function. Main principles of the shell model of self-organization under the action of the dominating entropic disturbance are formulated.