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...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/6458027 |
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| _version_ | 1850163476853424128 |
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| author | A. Othman Almatroud A. E. Matouk Wael W. Mohammed Naveed Iqbal Saleh Alshammari |
| author_facet | A. Othman Almatroud A. E. Matouk Wael W. Mohammed Naveed Iqbal Saleh Alshammari |
| author_sort | A. Othman Almatroud |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f0fad8073d8340d4b0dc854079e05ffc |
| institution | OA Journals |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f0fad8073d8340d4b0dc854079e05ffc2025-08-20T02:22:16ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/6458027Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic SystemsA. Othman Almatroud0A. E. Matouk1Wael W. Mohammed2Naveed Iqbal3Saleh Alshammari4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsSelf-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.http://dx.doi.org/10.1155/2022/6458027 |
| spellingShingle | A. Othman Almatroud A. E. Matouk Wael W. Mohammed Naveed Iqbal Saleh Alshammari Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems Discrete Dynamics in Nature and Society |
| title | Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems |
| title_full | Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems |
| title_fullStr | Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems |
| title_full_unstemmed | Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems |
| title_short | Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems |
| title_sort | self excited and hidden chaotic attractors in matouk s hyperchaotic systems |
| url | http://dx.doi.org/10.1155/2022/6458027 |
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