Chaos Theory: Order in Disorder

Authors

  • Sharipova Sadokat Fazliddinovna Senior Lecturer of the Jizzakh branch of the National University of Uzbekistan named after Mirzo Ulugbek, Uzbekistan
  • Basheeva Ainur Urinbasarovna Associate Professor of the Department of Algebra and Geometry, L.N. Gumilyov Eurasian National University, Kazakhstan
  • Bakhriddinova Aziza Dilshod kizi Student of the Jizzakh branch of the National University of Uzbekistan named after Mirzo Ulugbek, Uzbekistan

DOI:

https://doi.org/10.37547/ajast/Volume05Issue05-11

Keywords:

Chaos theory, fractals, nonlinear dynamics

Abstract

Chaos theory studies complex deterministic systems that may exhibit unpredictable behavior. This article discusses the key principles of chaos theory, its main concepts, and areas of application. Particular attention is paid to sensitivity to initial conditions, fractals, and nonlinear dynamic systems. Examples of chaos theory applications in meteorology, economics, biology, and modeling of complex processes are also discussed.

References

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Strogatz , S. H. (1994). Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering . Westview Press .

Gleick , J. (1987). Chaos: Making a New Science . Viking Press .

Schuster, H. G. (1995). Deterministic Chaos: An Introduction . Wiley -VCH.

Alligood , K. T., Sauer, T. D., & Yorke , J. A. (1996). Chaos: An Introduction to Dynamical Systems . Springer .

Шарипова С. Ф., Бахриддинова А. Применение скалярного произведения векторов для решения уравнений и систем //Ta'limning zamonaviy transformatsiyasi. – 2024. – Т. 6. – №. 2. – С. 175-185.

Бахриддинова А. и др. Одновременное приведение двух квадратичных форм к каноническому виду //лучшая исследовательская работа. – 2024. – С. 6

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Published

2025-05-18

How to Cite

Sharipova Sadokat Fazliddinovna, Basheeva Ainur Urinbasarovna, & Bakhriddinova Aziza Dilshod kizi. (2025). Chaos Theory: Order in Disorder. American Journal of Applied Science and Technology, 5(05), 47–49. https://doi.org/10.37547/ajast/Volume05Issue05-11

Issue

Vol. 5 No. 05 (2025): Volume 05 Issue 05

Section

Articles

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Copyright (c) 2025 Sharipova Sadokat Fazliddinovna, Basheeva Ainur Urinbasarovna, Bakhriddinova Aziza Dilshod kizi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.