The Lorenz Attractor: A Fractal Perspective using MATLAB

In a 1963 paper, Lorenz proposed that the Lorenz attractor is a complex, infinite surface. We examine this fractal aspect of Lorenz System using MATLAB. Here, we create detailed visualizations of the attractor's fractal structure and corresponding chaotic behavior of the systems. In this article we have demonstrated the fractal graph for real Lorenz as well as fractional ordered real Lorenz system for both real initial conditions.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2025-02-05
DOI
https://doi.org/10.52783/cana.v32.3722
Primary Topic
Neural Networks and Applications
Type
article
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article

The Lorenz Attractor: A Fractal Perspective using MATLAB

Meghana Bagwe
Communications on Applied Nonlinear Analysis
Neural Networks and Applications
article

The Lorenz Attractor: A Fractal Perspective using MATLAB

Meghana Bagwe
article en

Abstract

In a 1963 paper, Lorenz proposed that the Lorenz attractor is a complex, infinite surface. We examine this fractal aspect of Lorenz System using MATLAB. Here, we create detailed visualizations of the attractor's fractal structure and corresponding chaotic behavior of the systems. In this article we have demonstrated the fractal graph for real Lorenz as well as fractional ordered real Lorenz system for both real initial conditions.

Communications on Applied Nonlinear AnalysisVol. 32(8s)
Openalex Percentile: Top 99%
Neural Networks and Applications
DOIOpen Access PDFOpenAlex
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The Lorenz Attractor: A Fractal Perspective using MATLAB — Meghana Bagwe · Communications on Applied Nonlinear Analysis (2025) | TGRS Research Map | TGRS