Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific Fields
In this integrative review paper, we explore the parallels between the physical models of gyrotrons and some equations used in diverse and broad scientific fields. These include Adler’s famous equation, Van der Pol equation, the Lotka–Volterra equations and the Kuramoto model. The paper is written i...
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MDPI AG
2025-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/14/7920 |
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| author | Svilen Sabchevski |
| author_facet | Svilen Sabchevski |
| author_sort | Svilen Sabchevski |
| collection | DOAJ |
| description | In this integrative review paper, we explore the parallels between the physical models of gyrotrons and some equations used in diverse and broad scientific fields. These include Adler’s famous equation, Van der Pol equation, the Lotka–Volterra equations and the Kuramoto model. The paper is written in the form of a pedagogical discourse and aims to provide additional insights into gyrotron physics through analogies and parallels to theoretical approaches used in other fields of research. For the first time, reachability analysis is used in the context of gyrotron physics as a modern tool for understanding the behavior of nonlinear dynamical systems. |
| format | Article |
| id | doaj-art-fa6ad985ad16489482e3db105b0eb7bc |
| institution | DOAJ |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-fa6ad985ad16489482e3db105b0eb7bc2025-08-20T02:45:43ZengMDPI AGApplied Sciences2076-34172025-07-011514792010.3390/app15147920Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific FieldsSvilen Sabchevski0Institute of Electronics, Bulgarian Academy of Sciences, 1784 Sofia, BulgariaIn this integrative review paper, we explore the parallels between the physical models of gyrotrons and some equations used in diverse and broad scientific fields. These include Adler’s famous equation, Van der Pol equation, the Lotka–Volterra equations and the Kuramoto model. The paper is written in the form of a pedagogical discourse and aims to provide additional insights into gyrotron physics through analogies and parallels to theoretical approaches used in other fields of research. For the first time, reachability analysis is used in the context of gyrotron physics as a modern tool for understanding the behavior of nonlinear dynamical systems.https://www.mdpi.com/2076-3417/15/14/7920gyrotrontheory of gyro-devicesAdler’s equationVan der Pol’s equationLotka–Volterra equationsKuramoto model |
| spellingShingle | Svilen Sabchevski Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific Fields Applied Sciences gyrotron theory of gyro-devices Adler’s equation Van der Pol’s equation Lotka–Volterra equations Kuramoto model |
| title | Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific Fields |
| title_full | Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific Fields |
| title_fullStr | Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific Fields |
| title_full_unstemmed | Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific Fields |
| title_short | Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific Fields |
| title_sort | parallels between models of gyrotron physics and some famous equations used in other scientific fields |
| topic | gyrotron theory of gyro-devices Adler’s equation Van der Pol’s equation Lotka–Volterra equations Kuramoto model |
| url | https://www.mdpi.com/2076-3417/15/14/7920 |
| work_keys_str_mv | AT svilensabchevski parallelsbetweenmodelsofgyrotronphysicsandsomefamousequationsusedinotherscientificfields |