Articles | Open Access | https://doi.org/10.37547/ajast/Volume05Issue05-11

Chaos Theory: Order in Disorder

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

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.

Keywords

Chaos theory, fractals, nonlinear dynamics

References

Lorenz, E. N. (1963). Deterministic Nonperiodic Flow. Journal of the Atmospheric Sciences , 20(2), 130-141.

Mandelbrot, B. B. (1982). The Fractal Geometry of Nature . W. H. Freeman and Company.

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

Article Statistics

Copyright License

Download Citations

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