Dynamics of a Modified Sprott A System
We examine a modified Sprott A system, one of the 17 chaotic systems without equilibria introduced by Jafari, Sprott, and Golpayegani (2013). For specific parameter values, the modified system exhibits invariant spheres. Using a stereographic map, we analyze the stability of the equilibria and demon...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2025-01-01
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| Series: | ITM Web of Conferences |
| Online Access: | https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_02008.pdf |
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| _version_ | 1849773111123116032 |
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| author | Rohman Muhammad Nuur Tuwankotta Johan Matheus Harjanto Eric |
| author_facet | Rohman Muhammad Nuur Tuwankotta Johan Matheus Harjanto Eric |
| author_sort | Rohman Muhammad Nuur |
| collection | DOAJ |
| description | We examine a modified Sprott A system, one of the 17 chaotic systems without equilibria introduced by Jafari, Sprott, and Golpayegani (2013). For specific parameter values, the modified system exhibits invariant spheres. Using a stereographic map, we analyze the stability of the equilibria and demonstrate that all orbits, except for the unstable equilibrium, converge to the stable equilibrium. For other parameter values, the system has neither invariant spheres nor equilibria. Instead, the state space is foliated by tori. |
| format | Article |
| id | doaj-art-16e42e671422453aaeeffd73d6291b80 |
| institution | DOAJ |
| issn | 2271-2097 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ITM Web of Conferences |
| spelling | doaj-art-16e42e671422453aaeeffd73d6291b802025-08-20T03:02:10ZengEDP SciencesITM Web of Conferences2271-20972025-01-01750200810.1051/itmconf/20257502008itmconf_iconmaa25_02008Dynamics of a Modified Sprott A SystemRohman Muhammad Nuur0Tuwankotta Johan Matheus1Harjanto Eric2Analisis and Geometry, Faculty of Mathematics and Natural Sciences, Institut TeknologiAnalisis and Geometry, Faculty of Mathematics and Natural Sciences, Institut TeknologiAnalisis and Geometry, Faculty of Mathematics and Natural Sciences, Institut TeknologiWe examine a modified Sprott A system, one of the 17 chaotic systems without equilibria introduced by Jafari, Sprott, and Golpayegani (2013). For specific parameter values, the modified system exhibits invariant spheres. Using a stereographic map, we analyze the stability of the equilibria and demonstrate that all orbits, except for the unstable equilibrium, converge to the stable equilibrium. For other parameter values, the system has neither invariant spheres nor equilibria. Instead, the state space is foliated by tori.https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_02008.pdf |
| spellingShingle | Rohman Muhammad Nuur Tuwankotta Johan Matheus Harjanto Eric Dynamics of a Modified Sprott A System ITM Web of Conferences |
| title | Dynamics of a Modified Sprott A System |
| title_full | Dynamics of a Modified Sprott A System |
| title_fullStr | Dynamics of a Modified Sprott A System |
| title_full_unstemmed | Dynamics of a Modified Sprott A System |
| title_short | Dynamics of a Modified Sprott A System |
| title_sort | dynamics of a modified sprott a system |
| url | https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_02008.pdf |
| work_keys_str_mv | AT rohmanmuhammadnuur dynamicsofamodifiedsprottasystem AT tuwankottajohanmatheus dynamicsofamodifiedsprottasystem AT harjantoeric dynamicsofamodifiedsprottasystem |