Chaos in a new fractional-order system without equilibrium points.

Highlights: [•] New fractional-order chaotic system with no equilibrium points. [•] “Elegant” system: equations with few terms and parameters with minimum of digits. [•] Fractional dynamics analyzed using the predictor–corrector algorithm. [•] Presence of chaos validated by applying three different numerical methods. [•] Application of observer-based synchronization to chaotic fractional system. [Copyright &y& Elsevier]