Hidden Attractors in Chaotic Systems with Nonlinear Functions
In the present work, an interesting mini-review of hidden attractors in dynamical systems with associated nonlinear functions is carried out. Chaotic systems with nonlinear functions often possess hidden attractors due to their inherent complexity. These attractors can arise in various mathematical...
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| Format: | Article |
| Language: | English |
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Akif AKGUL
2024-06-01
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| Series: | Chaos Theory and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/3499451 |
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| author | Safara Bibi Juan Hugo García López Rider Jaimes-reategui Hafiz Muhammad Zeeshan Guillermo Huerta-cuellar |
| author_facet | Safara Bibi Juan Hugo García López Rider Jaimes-reategui Hafiz Muhammad Zeeshan Guillermo Huerta-cuellar |
| author_sort | Safara Bibi |
| collection | DOAJ |
| description | In the present work, an interesting mini-review of hidden attractors in dynamical systems with associated nonlinear functions is carried out. Chaotic systems with nonlinear functions often possess hidden attractors due to their inherent complexity. These attractors can arise in various mathematical models, such as the Lorenz system, Rössler system, or Chua's circuit. The identification and comprehension of hidden attractors broaden our understanding of complex systems and provide new directions for future study and technological development. The discovery and characterization of hidden attractors in chaotic systems have profound implications for various scientific disciplines, including physics, biology, and engineering. |
| format | Article |
| id | doaj-art-f3b5e1f1307749eea02f99067503ff1f |
| institution | Kabale University |
| issn | 2687-4539 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj-art-f3b5e1f1307749eea02f99067503ff1f2025-01-23T18:19:49ZengAkif AKGULChaos Theory and Applications2687-45392024-06-016214415110.51537/chaos.13818911971Hidden Attractors in Chaotic Systems with Nonlinear FunctionsSafara Bibi0https://orcid.org/0009-0003-8735-1929Juan Hugo García López1https://orcid.org/0000-0002-3739-0781Rider Jaimes-reategui2https://orcid.org/0000-0002-8137-1270Hafiz Muhammad Zeeshan3https://orcid.org/0000-0002-4729-8671Guillermo Huerta-cuellar4https://orcid.org/0000-0003-2956-104XUniversidad de GuadalajaraUniversidad de GuadalajaraUniversidad de GuadalajaraUniversidad de GuadalajaraUniversity of GuadalajaraIn the present work, an interesting mini-review of hidden attractors in dynamical systems with associated nonlinear functions is carried out. Chaotic systems with nonlinear functions often possess hidden attractors due to their inherent complexity. These attractors can arise in various mathematical models, such as the Lorenz system, Rössler system, or Chua's circuit. The identification and comprehension of hidden attractors broaden our understanding of complex systems and provide new directions for future study and technological development. The discovery and characterization of hidden attractors in chaotic systems have profound implications for various scientific disciplines, including physics, biology, and engineering.https://dergipark.org.tr/en/download/article-file/3499451hidden attractorschaotic systemsnonlinearfunctionsfixedpointsnumericalsimulations |
| spellingShingle | Safara Bibi Juan Hugo García López Rider Jaimes-reategui Hafiz Muhammad Zeeshan Guillermo Huerta-cuellar Hidden Attractors in Chaotic Systems with Nonlinear Functions Chaos Theory and Applications hidden attractors chaotic systems nonlinearfunctions fixedpoints numericalsimulations |
| title | Hidden Attractors in Chaotic Systems with Nonlinear Functions |
| title_full | Hidden Attractors in Chaotic Systems with Nonlinear Functions |
| title_fullStr | Hidden Attractors in Chaotic Systems with Nonlinear Functions |
| title_full_unstemmed | Hidden Attractors in Chaotic Systems with Nonlinear Functions |
| title_short | Hidden Attractors in Chaotic Systems with Nonlinear Functions |
| title_sort | hidden attractors in chaotic systems with nonlinear functions |
| topic | hidden attractors chaotic systems nonlinearfunctions fixedpoints numericalsimulations |
| url | https://dergipark.org.tr/en/download/article-file/3499451 |
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