# Hausdorff--Lebesgue dimension of attractors

## TL;DR

This paper introduces a new measure combining Hausdorff and Lebesgue concepts to analyze attractors, leading to novel insights in chaotic dynamics.

## Contribution

It presents a combined Hausdorff--Lebesgue measure, advancing the mathematical tools for studying attractors in chaotic systems.

## Key findings

- New Hausdorff--Lebesgue measure developed
- Enhanced understanding of attractor dimensions in chaos
- Potential applications in dynamical systems analysis

## Abstract

In the present paper the classical ideas of Hausdorff and Lebesgue are combined and the Hausdorff--Lebesgue measure is introduced. This makes it possible to obtain new results in chaotic dynamics.