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标题：Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems
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作者：A. Othman Almatroud ; A. E. Matouk ; Wael W. Mohammed 等
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.