On different families of hidden chaotic attractors in fractional order dynamical systems

Abstract

Chaotic systems with hidden attractors and their families (infinite number of equilibria, stable equilibria and without equilibria) are important in applications of engineering. However, studies about hidden attractors in fractional order dynamical systems are limited. In this paper, we perform a numerical analysis of fractional order chaotic systems with hidden attractors by using the Grundwald-Letnikov integration method. In particular, we determine that the fractional order is a key parameter to observe hidden chaotic attractors belonging to the aforementioned families.