Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of Perturbations
We suggest a few kinds of extended classical oscillators in this study. We present a few specific modules for examining these oscillators’ behavior. This will be an essential component of a broader web-based scientific computing platform that is in the works. The modeling and synthesis of radiating...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/2/231 |
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| author | Nikolay Kyurkchiev Tsvetelin Zaevski Anton Iliev Vesselin Kyurkchiev Asen Rahnev |
| author_facet | Nikolay Kyurkchiev Tsvetelin Zaevski Anton Iliev Vesselin Kyurkchiev Asen Rahnev |
| author_sort | Nikolay Kyurkchiev |
| collection | DOAJ |
| description | We suggest a few kinds of extended classical oscillators in this study. We present a few specific modules for examining these oscillators’ behavior. This will be an essential component of a broader web-based scientific computing platform that is in the works. The modeling and synthesis of radiating antenna designs is also taken into consideration as a potential use case for Melnikov functions. Additionally, we discuss strategies for achieving probabilistic control over system perturbations. |
| format | Article |
| id | doaj-art-d22bd3112b83491a9134c65baa5f6fa0 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-d22bd3112b83491a9134c65baa5f6fa02025-01-24T13:39:49ZengMDPI AGMathematics2227-73902025-01-0113223110.3390/math13020231Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of PerturbationsNikolay Kyurkchiev0Tsvetelin Zaevski1Anton Iliev2Vesselin Kyurkchiev3Asen Rahnev4Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, BulgariaInstitute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113 Sofia, BulgariaFaculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, BulgariaFaculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, BulgariaFaculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, BulgariaWe suggest a few kinds of extended classical oscillators in this study. We present a few specific modules for examining these oscillators’ behavior. This will be an essential component of a broader web-based scientific computing platform that is in the works. The modeling and synthesis of radiating antenna designs is also taken into consideration as a potential use case for Melnikov functions. Additionally, we discuss strategies for achieving probabilistic control over system perturbations.https://www.mdpi.com/2227-7390/13/2/231extended classical oscillatorsMelnikov’s approachantenna factor |
| spellingShingle | Nikolay Kyurkchiev Tsvetelin Zaevski Anton Iliev Vesselin Kyurkchiev Asen Rahnev Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of Perturbations Mathematics extended classical oscillators Melnikov’s approach antenna factor |
| title | Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of Perturbations |
| title_full | Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of Perturbations |
| title_fullStr | Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of Perturbations |
| title_full_unstemmed | Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of Perturbations |
| title_short | Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of Perturbations |
| title_sort | investigations of modified classical dynamical models melnikov s approach simulations and applications and probabilistic control of perturbations |
| topic | extended classical oscillators Melnikov’s approach antenna factor |
| url | https://www.mdpi.com/2227-7390/13/2/231 |
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