A Parameter Switching Algorithm for Fractional-Order Systems
Abstract
This paper adapts the parameter switching algorithm to a class of fractional-order systems modeled with the Caputo derivative. The algorithm, originally designed for integer-order autonomous systems that depend linearly on a real parameter, involves switching the parameter during numerical integration according to a predefined rule. The resulting attractor approximates a target attractor corresponding to an average of the switched parameters. The convergence of the method is proven analytically and demonstrated numerically on the fractional Lorenz system and a fractional dark matter and dark energy system.
Fields of Study & Subjects
Chaos control and synchronization
Fractional Differential Equations Solutions
Advanced Control Systems Design
Publication details
- Journal / source
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 36
- Issue
- 07
- Publication date
- 14 February 2026
- Language
- EN