The Analysis of Chaos and Fractals

The exploration of the relationship between fractals and chaotic systems not only contributes to advancing fundamental disciplines such as theoretical physics and mathematics, but also offers novel perspectives and methodologies for solving interdisciplinary practical problems, thereby demonstrating extensive application prospects and potential value. By thoroughly investigating the intricate connections between these two concepts, we can gain deeper insights into the underlying mechanisms that drive complex systems and harness their principles to tackle challenges in a wide array of fields. This holistic approach fosters a more comprehensive understanding and utilization of fractals and chaotic systems, enabling researchers to unravel the mysteries of complex phenomena and develop innovative solutions. Ultimately, this interdisciplinary exploration drives innovation and progress across multiple disciplines, showcasing the transformative power of fractals and chaotic systems in shaping our understanding of the world.

Authors

Publication Details

Journal
Theoretical and Natural Science
Published
2025-01-15
DOI
https://doi.org/10.54254/2753-8818/2025.19934
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

The Analysis of Chaos and Fractals

H. W. Sheng
Theoretical and Natural Science
Advanced Mathematical Theories and Applications
article

The Analysis of Chaos and Fractals

H. W. Sheng
article en

Abstract

The exploration of the relationship between fractals and chaotic systems not only contributes to advancing fundamental disciplines such as theoretical physics and mathematics, but also offers novel perspectives and methodologies for solving interdisciplinary practical problems, thereby demonstrating extensive application prospects and potential value. By thoroughly investigating the intricate connections between these two concepts, we can gain deeper insights into the underlying mechanisms that drive complex systems and harness their principles to tackle challenges in a wide array of fields. This holistic approach fosters a more comprehensive understanding and utilization of fractals and chaotic systems, enabling researchers to unravel the mysteries of complex phenomena and develop innovative solutions. Ultimately, this interdisciplinary exploration drives innovation and progress across multiple disciplines, showcasing the transformative power of fractals and chaotic systems in shaping our understanding of the world.

Theoretical and Natural ScienceVol. 83(1)
Openalex Percentile: Top 94%
Advanced Mathematical Theories and Applications
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The Analysis of Chaos and Fractals — H. W. Sheng · Theoretical and Natural Science (2025) | TGRS Research Map | TGRS