The fractional-order Lorenz-type systems: A review

Fract Calc Appl Anal. 2022;25(2):362-377. doi: 10.1007/s13540-022-00016-4. Epub 2022 Apr 18.

Abstract

This paper deals with a survey of Lorenz-type systems. For the first time, a new classification of the fractional-order Lorenz-type systems was introduced. Several chaotic systems, as particular cases of the new general form, which belong to large Lorenz family, are presented together with equilibria, eigenvalues as well as attractors of these systems in 3-dimensional state space, respectively.

Keywords: Attractor; Chaotic oscillator; Fractional calculus (primary); Fractional-order chaotic system.

Publication types

  • Review