Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems

Self -excited and hidden chaotic attractors are interesting complex dynamical phenomena. Here, Matouk’s hyperchaotic systems are shown to have self-excited and hidden chaotic attractors, respectively. Two case studies of hidden chaotic attractors are provided which are examined with orders 3.08 and 3.992, respectively. Moreover, self‐excited chaotic attractors are found in the fractional‐order system and its integer‐order counterpart. The existence of one‐eyed face self‐excited chaotic attractors is also reported in this work. Our results show that the fractional derivative affects the appearances of hidden chaotic attractors in this system.