One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, Melnikov’s Approach Using Simulations
In this article, we propose a new hypothetical differential model with many free parameters, which makes it attractive to users. The motivation is as follows: an extended model is proposed that allows us to investigate classical and newer models appearing in the literature at a “higher energy level”...
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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/2227-7390/13/2/232 |
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| author | Nikolay Kyurkchiev Anton Iliev Vesselin Kyurkchiev Asen Rahnev |
| author_facet | Nikolay Kyurkchiev Anton Iliev Vesselin Kyurkchiev Asen Rahnev |
| author_sort | Nikolay Kyurkchiev |
| collection | DOAJ |
| description | In this article, we propose a new hypothetical differential model with many free parameters, which makes it attractive to users. The motivation is as follows: an extended model is proposed that allows us to investigate classical and newer models appearing in the literature at a “higher energy level”, as well as the generation of high–order Melnikov polynomials (corresponding to the proposed extended model) with possible applications in the field of antenna feeder technology. We present a few specific modules for examining these oscillators’ behavior. A much broader Web-based application for scientific computing will incorporate this as a key component. |
| format | Article |
| id | doaj-art-628120f2adb34e0cb1295cc1059d0f24 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-628120f2adb34e0cb1295cc1059d0f242025-01-24T13:39:50ZengMDPI AGMathematics2227-73902025-01-0113223210.3390/math13020232One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, Melnikov’s Approach Using SimulationsNikolay Kyurkchiev0Anton Iliev1Vesselin Kyurkchiev2Asen Rahnev3Faculty 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, BulgariaFaculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, BulgariaIn this article, we propose a new hypothetical differential model with many free parameters, which makes it attractive to users. The motivation is as follows: an extended model is proposed that allows us to investigate classical and newer models appearing in the literature at a “higher energy level”, as well as the generation of high–order Melnikov polynomials (corresponding to the proposed extended model) with possible applications in the field of antenna feeder technology. We present a few specific modules for examining these oscillators’ behavior. A much broader Web-based application for scientific computing will incorporate this as a key component.https://www.mdpi.com/2227-7390/13/2/232generating chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>Melnikov’s approachMelnikov antenna factor |
| spellingShingle | Nikolay Kyurkchiev Anton Iliev Vesselin Kyurkchiev Asen Rahnev One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, Melnikov’s Approach Using Simulations Mathematics generating chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup> Melnikov’s approach Melnikov antenna factor |
| title | One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, Melnikov’s Approach Using Simulations |
| title_full | One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, Melnikov’s Approach Using Simulations |
| title_fullStr | One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, Melnikov’s Approach Using Simulations |
| title_full_unstemmed | One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, Melnikov’s Approach Using Simulations |
| title_short | One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, Melnikov’s Approach Using Simulations |
| title_sort | one more thing on the subject generating chaos via i x i i x i sup i a i 1 sup melnikov s approach using simulations |
| topic | generating chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup> Melnikov’s approach Melnikov antenna factor |
| url | https://www.mdpi.com/2227-7390/13/2/232 |
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