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American Journal of Applied Science and Technology

Peer Reviewed | Open Access | E-ISSN: 2771-2745
Published Article

Chaos Theory: Order in Disorder

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 .

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