FRACTIONAL ORDER LORENZ CHAOS MODEL AND NUMERICAL APPLICATION

Year 2025, Volume: 8 Issue: 1, 40 - 51, 31.01.2025

Zafer Öztürk

Abstract

The most complex steady-state behaviour known in dynamical systems is that which is characterised as "chaos". The three-dimensional Lorenz system, which is linear and nonperiodic, is a chaotic system that is used to study the properties of a two-dimensional liquid layer that is homogeneously heated from below and cooled from above. In this study, the fractional order Lorenz Chaos model is considered and mathematically analysed. This model consists of three compartments: x orbit, y orbit and z orbit. The fractional derivative is used in the sense of Caputo. The numerical results for the fractional Lorenz Chaos model are obtained with the help of the Euler method, and graphs are drawn.

Keywords

Fractional Lorenz Chaos Model, Mathematical Modeling, Euler Method, Caputo Derivative

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