FRACTIONAL ORDER LORENZ CHAOS MODEL AND NUMERICAL APPLICATION

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Journal of Universal Mathematics
Volume:8 Issue:1
FRACTIONAL ORDER LORENZ CHAOS MODEL AND NUMERICAL APPLICATION

FRACTIONAL ORDER LORENZ CHAOS MODEL AND NUMERICAL APPLICATION

Authors : Zafer Öztürk

Pages : 40-51

View : 4 | Download : 2

Publication Date : 2025-01-31

Article Type : Research Paper

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

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.