Eur. Phys. J. Special Topics 228, 2185-2196 (2019)
https://doi.org/10.1140/epjst/e2019-900035-y

Regular Article

Infinitely many hidden attractors in a new fractional-order chaotic system based on a fracmemristor

Faculty of Electronics Sciences, Benemérita Universidad Autónoma de Puebla, Puebla 72570, Mexico

^a e-mail: jesusm.pacheco@correo.buap.mx

Received: 15 February 2019
Received in final form: 21 March 2019
Published online: 14 October 2019

Abstract

Memristor and fractional-order derivatives are feasible options for constructing new systems with complex dynamics. This paper presents a new fractional-order chaotic system based on a fractional-order memristor (fracmemristor). It is worth noting that this chaotic system based on a fracmemristor does not have any equilibrium points but generates infinitely many hidden chaotic attractors and other dynamical behaviors. Systematic studies of the hidden chaotic behavior in the proposed system are performed using phase portraits, bifurcation diagrams, Lyapunov exponents, and riddled basins of attraction.