Investigating Chaos in the Lorenz System based on Fractal-Fractional Derivatives
Abstract
Abstract \noindent The Lorenz system is known for its sensitivity to initial conditions, that is a little variation in the initial conditions gives drastically different trajectories over time. The Lorenz system is a classic example of deterministic chaos, wher random and complex behavior emerges from deterministic equations. This work focuses on the dynamical behaviour of the 5-Dimensional Mittag-Leffler-Fractal-Fractional order Lorenz system. The detailed proof for the existence of solution with uniqueness is given. The solutions are found numerically. Lastly, the dynamical behaviour are represented for distinct fractal-fractional order. 2020 Mathematics subject Classification. Primary 28A80, 65P20, 33E12; Secondary 26A33.
Fields of Study & Subjects
Chaos control and synchronization
Fractional Differential Equations Solutions
Neural Networks Stability and Synchronization
Publication details
- Journal / source
- Complex Analysis and Operator Theory
- Publisher
- Springer Science and Business Media LLC
- Volume
- 20
- Issue
- 4
- Publication date
- 1 May 2026
- Language
- EN