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Published on 15 January 2025
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Sheng,H. (2025). The Analysis of Chaos and Fractals. Theoretical and Natural Science,83,85-90.
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The Analysis of Chaos and Fractals

Haocheng Sheng *,1,
  • 1 Shanghai Guanghua Cambridge International School

* Author to whom correspondence should be addressed.

https://doi.org/10.54254/2753-8818/2025.19934

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.

Keywords

chaos system, fractals, Mandelbrot’s set, Lorenz attractor

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[5]. Burkey, M. C. (2023). Structure in Chaos: An Exploration Into the Mandelbrot Set (Doctoral dissertation, Whitman College).

[6]. Lorenz, E. N. (1963). Deterministic nonperiodic flow. Journal of atmospheric sciences, 20(2), 130-141.

Cite this article

Sheng,H. (2025). The Analysis of Chaos and Fractals. Theoretical and Natural Science,83,85-90.

Data availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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About volume

Volume title: Proceedings of the 4th International Conference on Computing Innovation and Applied Physics

Conference website: https://2025.confciap.org/
ISBN:978-1-83558-905-2(Print) / 978-1-83558-906-9(Online)
Conference date: 17 January 2025
Editor:Ömer Burak İSTANBULLU, Marwan Omar, Anil Fernando
Series: Theoretical and Natural Science
Volume number: Vol.83
ISSN:2753-8818(Print) / 2753-8826(Online)

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