Self-Excited and Hidden Chaotic Attractors in Matouk's Hyperchaotic Systems. (8th March 2022)

• Record Type: Journal Article
• Authors: Almatroud, A. Othman; Matouk, A. E.; Mohammed, Wael W.; Iqbal, Naveed; Alshammari, Saleh
• Other Names: Medina Rigoberto Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2022(2022)
• Publication Date: 2022-03-08
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2022/6458027
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.