Dergiler / Electrica / 2021 / Cilt: 21 - Sayı: 2

Random Number Generator and Secure Communication Applications Based on Infinitely Many Coexisting Chaotic Attractors

Sayfa
180–188
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The bitstream produced has successfullypassed all tests giving results in the length of the generated bit

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper aims to investigate a 3D chaotic system for applications on the secure communication system and random number generation.
📊
Temel Bulgular & Veri:In addition,as an application of cryptography, a NIST* statistical test is performed on 10 bitstreams generated by the system.
💡
Sonuç & Katkı:The bitstream produced has successfullypassed all tests giving results in the length of the generated bit
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

This paper aims to investigate a 3D chaotic system for applications on the secure communication system and random number generation. There existsa sinusoidal nonlinearity in the system making it uncommon of its type. Infinitely many chaotic attractors indicate multi-stability of the system, which isdesired; for instance, the same system can be implemented for a multiple channel secure communication and switching between the channels can beachieved just by changing initial conditions. A brief mathematical analysis of the system is performed, and the circuit of the system is designed usingactive circuit elements. A synchronized system for secure communication is mathematically analyzed on MATLAB and simulated on PSPICE OrCAD.Synchronization of the system with the proposed circuit structure shows that this dynamic system can be used for chaotic communication. In addition,as an application of cryptography, a NIST* statistical test is performed on 10 bitstreams generated by the system. The bitstream produced has successfullypassed all tests giving results in the length of the generated bit

🔖

Bu Makaleye Atıf Yap

NOOR, A., TAŞKIRAN, Z. G. Ç. (2021). Random Number Generator and Secure Communication Applications Based on Infinitely Many Coexisting Chaotic Attractors. Electrica, Cilt: 21 - Sayı: 2, 180–188. https://ajindex.com/articles/348152

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (3)

  1. E. N. Lorenz, “Hvad er matematik?”, American Association for the Advancement of Science, 1972
  2. E. N. Lorenz, “Deterministic Nonperiodic Flow,” J Atmospheric Sci, vol. 20, pp. 130-141, 1963. [Crossref] 3. J. E. Skinner, M. Molnar, T. Vybiral, M. Mitra, “Application of Chaos Theory to Biology and Medicine”, Integr Physiol Behav Sci, vol. 27, no. 1, pp. 39-53, 1992. [Crossref] 4. D. Levy, “Chaos Theory and Strategy: Theory Application, and managerial Implication,” Strategic Manag J, vol. 15, pp. 167-178, 1994. [Crossref] 5. J. Trygestad, “Chaos in the Classroom: An Application of Chaos Theory,” Paper presented at the Annual Meeting of the American Educational Research Association, Chicago, 1997
  3. V. Akmansoy, S. Kartal, “Chaos Theory and its Application to Education: Mehmet Akif Ersoy University Case,” Educational Sciences: Theory & Practice, vol. 14, no. 2, pp. 510-518, 2014. [Crossref] 7. S. Ayers, “The Application of Chaos Theory to Psychology”, Theory & Psychology, vol. 7, no. 3, pp. 373-398, 1997. [Crossref] 8. D. Stapleton, J. B. Hanna, R. R. Jonathan, “Enhancing supply chain solutions with the application of chaos theory”, Supply Chain Management: An International J, vol. 11, no. 2, pp. 108-114, 2006. [Crossref] 9. A. Adewumi, J. Kagamba, A. Alochukwu, “Application of Chaos Theory in the Prediction of Motorised Traffic Flows on Urban Networks”, Mathematical Problems in Engineerin, vol. 2016, p. 15, 2016. [Crossref] 10. C. Frazier, K. M. Kockelman, “Chaos Theory and Transportation Systems”, J Transportation Res Board, vol. 1897, p. 9-17, 2004. [Crossref] 11. L. M. Pecora, T. L. Carroll, “Synchronization in Chaotic Systems,” Physical Rev Lett, vol. 64, no. 8, 1990. [Crossref] 12. E. Ott, C. Grebogi, J. A. Yorke, “Controlling Chaos”, Physical Rev Lett, vol. 64, no. 11, pp. 1196-1199, 1990. [Crossref] 13. K. Pyragas, “Continuous control of chaos by self-controlling feedback”, Physics Letters A, vol. 170, no. 6, pp. 421-428, 1992. [Crossref] 14. S. Troy, C. Grebogi, E. Ott, J. A. Yorke, “Using Small Perturbations to Control Chaos”, Nature, vol. 363, pp. 411-417, 1993. [Crossref] 15. S. Hayes, C. Greboi, E. Ott, A. Mark, “Experimental Control of Chaos for Communication”, Physical Rev Lett, vol. 73, no. 13, pp. 1781- 1784, 1994. [Crossref] 16. J. Lu, G. Chen, D. Cheng, “A New Chaotic System and Beyond: the Generalized Lorenz-like System”, Int J Bifurcation Chaos, vol. 14, no. 5, pp. 1507-1537, 2004. [Crossref] 17. V. Sundarapandian, I. Pehlivan, “Anal