Circuit Implementation and PRNG Applications of Time Delayed Lorenz System
In this study, time delayed form of Lorenz system is introduced, and exemplary applications of the time delayed Lorenz system are performed. Firstly, the time delayed Lorenz system is numerically solved by considering the Lorenz system as a system of time delayed differential equations. Then, time s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Akif AKGUL
2022-03-01
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| Series: | Chaos Theory and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/1900257 |
| _version_ | 1797295310885617664 |
|---|---|
| author | Burak Arıcıoğlu Sezgin Kaçar |
| author_facet | Burak Arıcıoğlu Sezgin Kaçar |
| author_sort | Burak Arıcıoğlu |
| collection | DOAJ |
| description | In this study, time delayed form of Lorenz system is introduced, and exemplary applications of the time delayed Lorenz system are performed. Firstly, the time delayed Lorenz system is numerically solved by considering the Lorenz system as a system of time delayed differential equations. Then, time series and phase portraits of the state variables of the time delayed system are obtained. After then, circuit implementation of the time delayed system is carried out with discrete analog components. Finally, a random number generator application is carried out by selectin different number of bits obtained from the state variables of the time delayed system. The results of all the applications are sufficiently good that the time delayed system can be used in engineering applications. |
| first_indexed | 2024-03-07T21:45:51Z |
| format | Article |
| id | doaj.art-e3560babb0c546d0b2d4506138ab3b48 |
| institution | Directory Open Access Journal |
| issn | 2687-4539 |
| language | English |
| last_indexed | 2024-03-07T21:45:51Z |
| publishDate | 2022-03-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj.art-e3560babb0c546d0b2d4506138ab3b482024-02-25T19:10:00ZengAkif AKGULChaos Theory and Applications2687-45392022-03-01414910.51537/chaos.9765931971Circuit Implementation and PRNG Applications of Time Delayed Lorenz SystemBurak Arıcıoğlu0Sezgin Kaçar1SAKARYA UYGULAMALI BİLİMLER ÜNİVERSİTESİSakarya Uygulamalı Bilimler ÜniversitesiIn this study, time delayed form of Lorenz system is introduced, and exemplary applications of the time delayed Lorenz system are performed. Firstly, the time delayed Lorenz system is numerically solved by considering the Lorenz system as a system of time delayed differential equations. Then, time series and phase portraits of the state variables of the time delayed system are obtained. After then, circuit implementation of the time delayed system is carried out with discrete analog components. Finally, a random number generator application is carried out by selectin different number of bits obtained from the state variables of the time delayed system. The results of all the applications are sufficiently good that the time delayed system can be used in engineering applications.https://dergipark.org.tr/en/download/article-file/1900257time delayed chaotic systemslorenz systemtime delayed differential equationscircuit implementationrandom number generator |
| spellingShingle | Burak Arıcıoğlu Sezgin Kaçar Circuit Implementation and PRNG Applications of Time Delayed Lorenz System Chaos Theory and Applications time delayed chaotic systems lorenz system time delayed differential equations circuit implementation random number generator |
| title | Circuit Implementation and PRNG Applications of Time Delayed Lorenz System |
| title_full | Circuit Implementation and PRNG Applications of Time Delayed Lorenz System |
| title_fullStr | Circuit Implementation and PRNG Applications of Time Delayed Lorenz System |
| title_full_unstemmed | Circuit Implementation and PRNG Applications of Time Delayed Lorenz System |
| title_short | Circuit Implementation and PRNG Applications of Time Delayed Lorenz System |
| title_sort | circuit implementation and prng applications of time delayed lorenz system |
| topic | time delayed chaotic systems lorenz system time delayed differential equations circuit implementation random number generator |
| url | https://dergipark.org.tr/en/download/article-file/1900257 |
| work_keys_str_mv | AT burakarıcıoglu circuitimplementationandprngapplicationsoftimedelayedlorenzsystem AT sezginkacar circuitimplementationandprngapplicationsoftimedelayedlorenzsystem |