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  • 标题:Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems
  • 本地全文:下载
  • 作者:A. Othman Almatroud ; A. E. Matouk ; Wael W. Mohammed
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2022
  • 卷号:2022
  • DOI:10.1155/2022/6458027
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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