Investigating a new conservative 4-dimensional chaotic system
This study analyzed a modified conservative 4D chaotic system is investigated using both integer and non-integer order derivatives. Several dynamical aspects of the said model are explored, such as stable equilibrium points, Lyapunov spectra (LS), attractor projection, Poincare, bifurcations and pha...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-10-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723007623 |
| _version_ | 1797660540283125760 |
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| author | Mati ur Rahman M.A. El-Shorbagy Hussam Alrabaiah Dumitru Baleanu Manuel De la Sen |
| author_facet | Mati ur Rahman M.A. El-Shorbagy Hussam Alrabaiah Dumitru Baleanu Manuel De la Sen |
| author_sort | Mati ur Rahman |
| collection | DOAJ |
| description | This study analyzed a modified conservative 4D chaotic system is investigated using both integer and non-integer order derivatives. Several dynamical aspects of the said model are explored, such as stable equilibrium points, Lyapunov spectra (LS), attractor projection, Poincare, bifurcations and phase portrait. The system is also analyzed using a singular fractional operator, and the theory of the existence of solutions is established through functional analysis. To obtain numerical results of the fractional order system, a numerical method based on Newton polynomial is applied. The study reveals the presence of hidden and fixed point chaotic attractors for certain fractional order values. |
| first_indexed | 2024-03-11T18:31:24Z |
| format | Article |
| id | doaj.art-dbb0a1dee2384c7d9ef5c0201bc1c949 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-11T18:31:24Z |
| publishDate | 2023-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-dbb0a1dee2384c7d9ef5c0201bc1c9492023-10-13T11:04:16ZengElsevierResults in Physics2211-37972023-10-0153106969Investigating a new conservative 4-dimensional chaotic systemMati ur Rahman0M.A. El-Shorbagy1Hussam Alrabaiah2Dumitru Baleanu3Manuel De la Sen4Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Corresponding author.Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia; Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, EgyptCollege of Engineering, Al Ain University, Al Ain, United Arab Emirates; Department of Mathematics, Tafila Technical University, Tafila, JordanDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Institute of Space Sciences, R76900 Magurele-Bucharest, RomaniaDepartment of Electricity and Electronics, Institute of Research and Development of Processes, University of the Basque Country, Campus of Leioa, 48940 Leioa (Bizkaia), SpainThis study analyzed a modified conservative 4D chaotic system is investigated using both integer and non-integer order derivatives. Several dynamical aspects of the said model are explored, such as stable equilibrium points, Lyapunov spectra (LS), attractor projection, Poincare, bifurcations and phase portrait. The system is also analyzed using a singular fractional operator, and the theory of the existence of solutions is established through functional analysis. To obtain numerical results of the fractional order system, a numerical method based on Newton polynomial is applied. The study reveals the presence of hidden and fixed point chaotic attractors for certain fractional order values.http://www.sciencedirect.com/science/article/pii/S2211379723007623Lyapunov spectraFractional operatorBifurcationChaos |
| spellingShingle | Mati ur Rahman M.A. El-Shorbagy Hussam Alrabaiah Dumitru Baleanu Manuel De la Sen Investigating a new conservative 4-dimensional chaotic system Results in Physics Lyapunov spectra Fractional operator Bifurcation Chaos |
| title | Investigating a new conservative 4-dimensional chaotic system |
| title_full | Investigating a new conservative 4-dimensional chaotic system |
| title_fullStr | Investigating a new conservative 4-dimensional chaotic system |
| title_full_unstemmed | Investigating a new conservative 4-dimensional chaotic system |
| title_short | Investigating a new conservative 4-dimensional chaotic system |
| title_sort | investigating a new conservative 4 dimensional chaotic system |
| topic | Lyapunov spectra Fractional operator Bifurcation Chaos |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723007623 |
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