Reconstruction Models for Attractors in the Technical and Economic Processes

TL;DR

This paper explores modeling techniques for attractors in technical and economic systems using chaos theory and differential equations, with examples demonstrating their application to engineering systems.

Contribution

It introduces a method for constructing models based on reconstructed attractors and their symmetry properties, advancing understanding of chaotic dynamics in practical systems.

Findings

Models successfully capture attractor structures

Symmetry properties aid in model accuracy

Applicable to engineering system analysis

Abstract

The article discusses building models based on the reconstructed attractors of the time series. Discusses the use of the properties of dynamical chaos, namely to identify the strange attractors structure models. Here is used the group properties of differential equations, which consist in the symmetry of particular solutions. Examples of modeling engineering systems are given.