Dynamical behavior of a new jerk system inspired from chaotic memory oscillators
This paper constructs a six-term new simple 3D jerk system modeled by chaotic model memory oscillators with four parameters that control the behavior. The suitable choice of one of these parameters helps the system describe behavior and attractors. This means that the choice is a parameter of the as...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2024-03-01
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| Series: | Archives of Control Sciences |
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| Online Access: | https://journals.pan.pl/Content/130794/art08_int.pdf |
| _version_ | 1797234808242307072 |
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| author | Saad Fawzi Al-Azzawi |
| author_facet | Saad Fawzi Al-Azzawi |
| author_sort | Saad Fawzi Al-Azzawi |
| collection | DOAJ |
| description | This paper constructs a six-term new simple 3D jerk system modeled by chaotic model memory oscillators with four parameters that control the behavior. The suitable choice of one of these parameters helps the system describe behavior and attractors. This means that the choice is a parameter of the associated behavior (dissipative or conservative) and attractors (self-excited or hidden). Some features of the equilibrium are observed that are related to the dependence on these parameters, such as saddle-foci, non-hyperbolic, and node-foci. This system is rich in dynamic features including chaotic, quasi-periodic (2-torus), and periodic via the utilization of bifurcation diagrams and Lyapunov spectrum. Finally, a new image encryption algorithm is introduced that utilizes the jerk system. The algorithm is assessed through statistical performance analysis, according to the results of the experiments and security tests, it has been verified that the suggested image encryption algorithm is highly secure and could be a viable option for real-world applications. |
| first_indexed | 2024-04-24T16:37:57Z |
| format | Article |
| id | doaj.art-0678492caeab41859f27490de802c6d3 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-24T16:37:57Z |
| publishDate | 2024-03-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-0678492caeab41859f27490de802c6d32024-03-29T11:32:19ZengPolish Academy of SciencesArchives of Control Sciences1230-23842024-03-01vol. 34No 1149170https://doi.org/10.24425/acs.2024.149656Dynamical behavior of a new jerk system inspired from chaotic memory oscillatorsSaad Fawzi Al-Azzawi0https://orcid.org/0000-0002-8198-8035Department of Mathematics, Collegeof Computer Science and Mathematics, University of Mosul, Mosul, IraqThis paper constructs a six-term new simple 3D jerk system modeled by chaotic model memory oscillators with four parameters that control the behavior. The suitable choice of one of these parameters helps the system describe behavior and attractors. This means that the choice is a parameter of the associated behavior (dissipative or conservative) and attractors (self-excited or hidden). Some features of the equilibrium are observed that are related to the dependence on these parameters, such as saddle-foci, non-hyperbolic, and node-foci. This system is rich in dynamic features including chaotic, quasi-periodic (2-torus), and periodic via the utilization of bifurcation diagrams and Lyapunov spectrum. Finally, a new image encryption algorithm is introduced that utilizes the jerk system. The algorithm is assessed through statistical performance analysis, according to the results of the experiments and security tests, it has been verified that the suggested image encryption algorithm is highly secure and could be a viable option for real-world applications.https://journals.pan.pl/Content/130794/art08_int.pdfchaotic memory oscillators (𝑀𝑂4)jerk systemelegant systemencryptiondecryption |
| spellingShingle | Saad Fawzi Al-Azzawi Dynamical behavior of a new jerk system inspired from chaotic memory oscillators Archives of Control Sciences chaotic memory oscillators (𝑀𝑂4) jerk system elegant system encryption decryption |
| title | Dynamical behavior of a new jerk system inspired from chaotic memory oscillators |
| title_full | Dynamical behavior of a new jerk system inspired from chaotic memory oscillators |
| title_fullStr | Dynamical behavior of a new jerk system inspired from chaotic memory oscillators |
| title_full_unstemmed | Dynamical behavior of a new jerk system inspired from chaotic memory oscillators |
| title_short | Dynamical behavior of a new jerk system inspired from chaotic memory oscillators |
| title_sort | dynamical behavior of a new jerk system inspired from chaotic memory oscillators |
| topic | chaotic memory oscillators (𝑀𝑂4) jerk system elegant system encryption decryption |
| url | https://journals.pan.pl/Content/130794/art08_int.pdf |
| work_keys_str_mv | AT saadfawzialazzawi dynamicalbehaviorofanewjerksysteminspiredfromchaoticmemoryoscillators |