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Dergiler / Chaos Theory and Applications / 2022 / Cilt: 4 - Sayı: 1

Circuit Implementation and PRNG Applications of Time Delayed Lorenz System

Burak Arıcıoğlu
Sezgin Kaçar
Sayfa
4–9
Yayın Tarihi
2022-10-12
DOI
—
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results of all the applications are sufficiently good that the time delayed system can be used in engineering applications.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, time delayed form of Lorenz system is introduced, and exemplary applications of the time delayed Lorenz system are performed.
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Temel Bulgular & Veri:Firstly, the time delayed Lorenz system is numerically solved by considering the Lorenz system as a system of time delayed differential equations.
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Sonuç & Katkı:The results of all the applications are sufficiently good that the time delayed system can be used in engineering applications.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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.

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Bu Makaleye Atıf Yap

Arıcıoğlu, B., Kaçar, S. (2022). Circuit Implementation and PRNG Applications of Time Delayed Lorenz System. Chaos Theory and Applications, Cilt: 4 - Sayı: 1, 4–9. https://ajindex.com/articles/473713

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Kaynakça (12)

  1. Acho, L., 2017 A continuous-time delay chaotic system obtained from a chaotic logistic map. In IASTED International Conference Modelling, Identification and Control.“Modelling, Identification and Control (MIC 2017)”,
  2. ACTA Press, Innsbruck, p. 147. Adiyaman, Y., S. Emiroglu, M. K. Ucar, and M. Yildiz, 2020 Dynamical analysis, electronic circuit design and control application of a different chaotic system. Chaos Theory and Applications 2: 10–16.
  3. Agarwal, S., 2021 Designing a pseudo-random bit generator using generalized cascade fractal function. Chaos Theory and Applications 3: 11–19.
  4. Akgul, A., C. Arslan, and B. Aricioglu, 2019 Design of an interface for random number generators based on integer and fractional order chaotic systems. Chaos Theory and Applications 1: 1–18.
  5. Alcin, M., T. Murat, P. ERDOG˘MUS¸, and I. Koyuncu, 2021 Fpgabased dual core trng design using ring and runge-kutta-butcher based on chaotic oscillator. Chaos Theory and Applications 3: 20–28.
  6. Bassham, L., A. Rukhin, J. Soto, J. Nechvatal, M. Smid, et al., 2010 A statistical test suite for random and pseudorandom number generators for cryptographic applications. Cheng, C.-K., H.-H. Kuo, Y.-Y. Hou, C.-C. Hwang, and T.-L. Liao, 2008 Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays. Physica A: Statistical Mechanics and its Applications 387: 3093–3102.
  7. Deng, W., Y. Wu, and C. Li, 2006 Stability analysis of differential equations with time-dependent delay. International Journal of Bifurcation and Chaos 16: 465–472.
  8. Hale, J. K. and S. M. V. Lunel, 2013 Introduction to functional differential equations, volume 99. Springer Science & Business Media. Jacek Kierzenka, L. F., Shampine and S. Thompson, 2021 Tutorial on solving ddes with dde23. Jahanshahi, H., K. Rajagopal, A. Akgul, N. N. Sari, H. Namazi, et al., 2018 Complete analysis and engineering applications of a megastable nonlinear oscillator. International Journal of Non- Linear Mechanics 107: 126–136.
  9. Kaçar, S., 2016 Analog circuit and microcontroller based rng application of a new easy realizable 4d chaotic system. Optik 127: 9551–9561.
  10. Kacar, S., Z. Wei, A. Akgul, and B. Aricioglu, 2018 A novel 4d chaotic system based on two degrees of freedom nonlinear mechanical system. Zeitschrift für Naturforschung A 73: 595–607.
  11. Liu, H. and J. Yang, 2015 Sliding-mode synchronization control for uncertain fractional-order chaotic systems with time delay. Entropy 17: 4202–4214.
  12. Liu, J., K. Rajagopal, T. Lei, S. Ka