Yıl 2020,
Cilt: 4 Sayı: 3, 217 - 225, 15.12.2020
Murat Alçın
,
Murat Tuna
,
İhsan Pehlivan
,
İsmail Koyuncu
Kaynakça
- 1. Chang, D., Li, Z., Wang, M., and Y. Zeng, A Novel Digital Programmable Multi-Scroll Chaotic System and Its Application in FPGA-Based Audio Secure Communication, AEU-International Journal of Electronics and Communications, 2018. 88(2018): p. 20–29.
- 2. Tuna, M., and C.B. Fidan, Electronic Circuit Design, Implementation and FPGA-Based Realization of a New 3D Chaotic System with Single Equilibrium Point, Optik - International Journal for Light and Electron Optics, 2016. 127(24): p. 11786–11799.
- 3. Alçın, M., Tuna, M., and İ. Koyuncu, IQ-Math Based Designing of Fourth Order Runge-Kutta Algorithm on FPGA and Performance Analysis According to ANN Approximation, International Journal of Advanced Research in Science, Engineering and Technology, 2018. 5(8): p. 6523–6530.
- 4. Tuncer, T., The Implementation of Chaos-Based PUF Designs in Field Programmable Gate Array, Nonlinear Dynamics, 2016. 86(2): p. 975–986.
- 5. Id, A., Shaukat Id, S., Id, A.A., Id, A.E., Aziz, S., Id, S., and J. Ahmad Id, Chaos Theory and Its Application: An Essential Framework for Image Encryption, Chaos Theory and Applications, 2020. 2(1): p. 17–22.
- 6. Tuna, M., and C.B. Fidan, A Study on the Importance of Chaotic Oscillators Based on FPGA for True Random Number Generating (TRNG) and Chaotic Systems, Journal of the Faculty of Engineering and Architecture of Gazi University, 2018. 33(2): p. 469–486.
- 7. Bonny, T., and Q. Nasir, Clock Glitch Fault Injection Attack on an FPGA-Based Non-Autonomous Chaotic Oscillator, Nonlinear Dynamics, 2019. 96(3): p. 2087–2101.
- 8. Avaroğlu, E., Tuncer, T., Özer, A.B., Ergen, B., and M. Türk, A Novel Chaos-Based Post-Processing for TRNG, Nonlinear Dynamics, 2015. 81(1–2): p. 189–199.
- 9. Akgul, A., Moroz, I., Pehlivan, I., and S. Vaidyanathan, A New Four-Scroll Chaotic Attractor and Its Engineering Applications, Optik - International Journal for Light and Electron Optics, 2016. 127(13): p. 5491–5499.
- 10. Avaroğlu, E., Pseudorandom Number Generator Based on Arnold Cat Map and Statistical Analysis, Turkısh Journal of Electrıcal Engıneerıng & Computer Scıences, 2017. 25(1): p. 633–643.
- 11. Garipcan, A.M., and E. Erdem, A TRNG Using Chaotic Entropy Pool as a Post-Processing Technique: Analysis, Design and FPGA Implementation, Analog Integrated Circuits and Signal Processing, 2020. 103(2020): p. 391–410.
- 12. Akgül, A., Zahid Yıldız, M., Faruk Boyraz, Ö., Güleryüz, E., Kaçar, S., and B. Gürevin, Microcomputer-Based Encryption of Vein Images with a Non-Linear Novel System, Journal of the Faculty of Engineering and Architecture of Gazi University, 2020. 35(3): p. 1369–1385.
- 13. Bonny, T., Al Debsi, R., Majzoub, S., and A.S. Elwakil, Hardware Optimized FPGA Implementations of High-Speed True Random Bit Generators Based on Switching-Type Chaotic Oscillators, Circuits, Systems, and Signal Processing, 2019. 38(3): p. 1342–1359.
- 14. Çam Taşkıran, Z.G., and H. Sedef, Memristör Tabanlı Kaotik Rössler Devresi Gerçeklemesi, Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 2019. 35(2): p. 765–774.
- 15. Sundarapandian, V., and I. Pehlivan, Analysis, Control, Synchronization, and Circuit Design of a Novel Chaotic System, Mathematical and Computer Modelling, 2012. 55(7–8): p. 1904–1915.
- 16. Akgul, A., Hussain, S., and I. Pehlivan, A New Three-Dimensional Chaotic System, Its Dynamical Analysis and Electronic Circuit Applications, Optik-International Journal for Light and Electron Optics, 2016. 127(18): p. 7062–7071.
- 17. Lin, Y., Wang, C., and H. He, A Simple Multi-Scroll Chaotic Oscillator Employing CCIIs, Optik-International Journal for Light and Electron Optics, 2015. 126(7–8): p. 824–827.
- 18. Munoz-Pach, J.M., Campos-Lop, W., Tlelo-Cuau, E., and C. Sanchez-Lo, OpAmp-, CFOA- and OTA-Based Configurations to Design Multi-Scroll Chaotic Oscillators, Trends in Applied Sciences Research, 2012. 7(2): p. 168–174.
- 19. Bulut, G.G., Emin Şahin, M., and H. Güler, An Implementation of Chaotic Circuits with Multisim-LabVIEW, International Advanced Researches and Engineering Journal, 2018. 02(03): p. 304–308.
- 20. Dar, M.R., Kant, N.A., and F.A. Khanday, Realization of Fractional-Order Double-Scroll Chaotic System Using Operational Transconductance Amplifier (OTA), Journal of Circuits, Systems and Computers, 2018. 27(1): p. 1850006.
- 21. Singh, J.P., Koley, J., Akgul, A., Gurevin, B., and B.K. Roy, A New Chaotic Oscillator Containing Generalised Memristor, Single Op-Amp and RLC with Chaos Suppression and an Application for the Random Number Generation, European Physical Journal: Special Topics, 2019. 228(10): p. 2233–2245.
- 22. Yu, F., Shen, H., Liu, L., Zhang, Z., Huang, Y., He, B., Cai, S., Song, Y., Yin, B., Du, S., and Q, Xu, CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors, Complexity, 2020. 5212601: p. 1–17.
- 23. Hasan, S., and I.A. Khan, Multi-Scroll Chaos Generator Using Current Conveyors, 2009 International Multimedia, Signal Processing and Communication Technologies, 2009. Aligarh, India. p. 229–232.
- 24. Alçın, M., Pehlivan, İ., and İ. Koyuncu, Hardware Design and Implementation of a Novel ANN-Based Chaotic Generator in FPGA, Optik - International Journal for Light and Electron Optics, 2016. 127(13): p. 5500–5505.
- 25. Alçin, M., The Modelling Performance Evolution of Recurrent Neural Networks Having Different Training Functions for Modelling Sprott H Chaotic System, International Journal on Research Innovations in Engineering Science and Technology(IJRIEST), 2017. 2(10): p. 563–568.
- 26. Koyuncu, İ., Oğuz, Y., Çimen, H., Özer, T., and M. Tuna, Design and Implementation of Artificial Neural Network-Based 3-D Novel Jerk Chaotic Oscillator on FPGA, 3rd International Conference on Engineering Technology and Applied Sciences, 2018. Skopje, Macedonia. p. 1–6.
- 27. Alcin, M., Erdogmus, P., and I. Koyuncu, Artificial Neural Network-Based 4-D Hyper-Chaotic System on Field Programmable Gate Array, International Journal of Intelligent Systems and Applications in Engineering, 2020. 8(2): p. 102–108.
- 28. Vaidyanathan, S., Pehlivan, I., Dolvis, L.G., Jacques, K., Alcin, M., Tuna, M., and I. Koyuncu, A Novel ANN-Based Four-Dimensional Two-Disk Hyperchaotic Dynamical System, Bifurcation Analysis, Circuit Realisation and FPGA-Based TRNG Implementation, International Journal of Computer Applications in Technology, 2020. 62(1): p. 20–35.
- 29. Koyuncu, İ., Şahin, İ., Gloster, C., and N.K. Sarıtekin, A Neuron Library for Rapid Realization of Artificial Neural Networks on FPGA: A Case Study of Rössler Chaotic System, Journal of Circuits, Systems and Computers, 2017. 26(01): p. 1750015.
- 30. Dalkiran, I., and K. Danis, Artificial Neural Network Based Chaotic Generator for Cryptology, Turkish Journal of Electrical Engineering & Computer Sciences, 2010. 18(2): p. 225–240.
- 31. Alcin, M., Koyuncu, I., Tuna, M., Varan, M., and I. Pehlivan, A Novel High Speed Artificial Neural Network–Based Chaotic True Random Number Generator on Field Programmable Gate Array, International Journal of Circuit Theory and Applications, 2019. 47(3): p. 365–378.
- 32. Tuna, M., Karthikeyan, A., Rajagopal, K., Alçın, M., and İ. Koyuncu, Hyperjerk Multiscroll Oscillators with Megastability: Analysis, FPGA Implementation and A Novel ANN-Ring-Based True Random Number Generator, AEU-International Journal of Electronics and Communications, 2019. 112(2019): p. 152941–10.
- 33. Rajagopal, K., Akgul, A., Jafari, S., Karthikeyan, A., and I. Koyuncu, Chaotic Chameleon: Dynamic Analyses, Circuit Implementation, FPGA Design and Fractional-Order Form with Basic Analyses, Chaos, Solitons & Fractals, 2017. 103(2017): p. 476–487.
- 34. Bonny, T., Chaotic or Hyper-Chaotic Oscillator? Numerical Solution, Circuit Design, MATLAB HDL-Coder Implementation, VHDL Code, Security Analysis, and FPGA Realization, Circuits, Systems, and Signal Processing, 2020. p. 1–28.
- 35. Dursun, M., and E. Kaşifoğlu, Design and Implementation of the FPGA-Based Chaotic van Der Pol Oscillator, International Advanced Researches and Engineering Journal, 2018. 02(03): p. 309–314.
- 36. Karakaya, B., Turk, M.A., Turk, M., and A. Gulten, Selection of Optimal Numerical Method for Implementation of Lorenz Chaotic System on FPGA, International Advanced Researches and Engineering Journal, 2018. 02(02): p. 147–152.
- 37. Koyuncu, İ., and H.İ. Seker, Implementation of Dormand-Prince Based Chaotic Oscillator Designs in Different IQ-Math Number Standards on FPGA, Sakarya University Journal of Science, 2019. 23(5): p. 859–868.
- 38. Şeker, H.İ., Koyuncu, İ., Tuna, M., and M. Alçın, Implementation of Dormand Prince Based SEA Chaotic Oscillator Design on FPGA, V. Science Technology and Innovation Congress, 2019. Alanya, Turkey. p. 303–310.
- 39. Senouci, A., Bouhedjeur, H., Tourche, K., and A. Boukabou, FPGA Based Hardware and Device-Independent Implementation of Chaotic Generators, AEU-International Journal of Electronics and Communications, 2017. 82(2017): p. 211–220.
- 40. Kizmaz, H., Kocamaz, U.E., and Y. Uyaroğlu, Control of Memristor-Based Simplest Chaotic Circuit with One-State Controllers, Journal of Circuits, Systems, and Computers, 2019. 28(1): p. 1950007.
- 41. Koyuncu, İ., Şeker, H.İ., Tuna, M., and M. Alçın, Dormand-Prince Tabanlı Kaotik Osilatör Tasarımının FPGA Üzerinde Gerçeklenmesi, International Eurasian Conference on Science, Engineering and Technology, 2018. Ankara, Turkey. p. 1059–1065.
- 42. Koyuncu, İ., and A.T. Özcerit, The Design and Realization of a New High Speed FPGA-Based Chaotic True Random Number Generator, Computers & Electrical Engineering, 2017. 58(2017): p. 203–214.
- 43. Pehlivan, I., and Y. Uyaroglu, A New Chaotic Attractor from General Lorenz System Family and Its Electronic Experimental Implementation, Turkish Journal of Electrical Engineering & Computer Sciences, 2010. 18(2): p. 171–184.
- 44. Pehlivan, İ., and Z. Wei, Analysis, Nonlinear Control, and Chaos Generator Circuit of Another Strange Chaotic System, Turkısh Journal of Electrıcal Engıneerıng & Computer Scıences, 2012. 20(2): p. 1229–1239.
CCII current conveyor and dormand-prince-based chaotic oscillator designs for secure communication applications
Yıl 2020,
Cilt: 4 Sayı: 3, 217 - 225, 15.12.2020
Murat Alçın
,
Murat Tuna
,
İhsan Pehlivan
,
İsmail Koyuncu
Öz
Chaos is one of the important research areas in recent years. The chaotic signal generator is one of the most basic structure in the chaos-based researches and applications. In this study, Sundarapandian-Pehlivan Chaotic Oscillator (SPCO) designs have been implemented in 2 different platforms as analog-based using Second-Generation Current Controlled Current Conveyor (CCII) and FPGA-based with one of the chaotic oscillator that has been presented to the literature namely Sundarapandian-Pehlivan system. The structure used for the design of CCII-based chaotic oscillator and the results obtained from the study have been presented. In the second phase, the design of SPCO has been realized in order to utilize for running in FPGA chips using Dormand-Prince (DP) numeric algorithm. The design has been coded in VHDL using 32-bit IEEE-754-1985 floating point representation. The designed system has been tested by synthesizing it in Xilinx ISE Design Tools program. Then, the test results obtained from DP-based SPCO structure have been presented. In the last phase, the designed system has been synthesized for VIRTEX-7 FPGA. FPGA chip resource consumption values that obtained after the Place-Route process are presented. According to the results, the maximum operating frequency of DP-based SPCO unit on FPGA is obtained as 362.608 MHz. In future studies, the designs of Pseudo Random Number Generator (RNG) and True RNG can be performed using DP-based SPCO unit implemented successfully in this study.
Kaynakça
- 1. Chang, D., Li, Z., Wang, M., and Y. Zeng, A Novel Digital Programmable Multi-Scroll Chaotic System and Its Application in FPGA-Based Audio Secure Communication, AEU-International Journal of Electronics and Communications, 2018. 88(2018): p. 20–29.
- 2. Tuna, M., and C.B. Fidan, Electronic Circuit Design, Implementation and FPGA-Based Realization of a New 3D Chaotic System with Single Equilibrium Point, Optik - International Journal for Light and Electron Optics, 2016. 127(24): p. 11786–11799.
- 3. Alçın, M., Tuna, M., and İ. Koyuncu, IQ-Math Based Designing of Fourth Order Runge-Kutta Algorithm on FPGA and Performance Analysis According to ANN Approximation, International Journal of Advanced Research in Science, Engineering and Technology, 2018. 5(8): p. 6523–6530.
- 4. Tuncer, T., The Implementation of Chaos-Based PUF Designs in Field Programmable Gate Array, Nonlinear Dynamics, 2016. 86(2): p. 975–986.
- 5. Id, A., Shaukat Id, S., Id, A.A., Id, A.E., Aziz, S., Id, S., and J. Ahmad Id, Chaos Theory and Its Application: An Essential Framework for Image Encryption, Chaos Theory and Applications, 2020. 2(1): p. 17–22.
- 6. Tuna, M., and C.B. Fidan, A Study on the Importance of Chaotic Oscillators Based on FPGA for True Random Number Generating (TRNG) and Chaotic Systems, Journal of the Faculty of Engineering and Architecture of Gazi University, 2018. 33(2): p. 469–486.
- 7. Bonny, T., and Q. Nasir, Clock Glitch Fault Injection Attack on an FPGA-Based Non-Autonomous Chaotic Oscillator, Nonlinear Dynamics, 2019. 96(3): p. 2087–2101.
- 8. Avaroğlu, E., Tuncer, T., Özer, A.B., Ergen, B., and M. Türk, A Novel Chaos-Based Post-Processing for TRNG, Nonlinear Dynamics, 2015. 81(1–2): p. 189–199.
- 9. Akgul, A., Moroz, I., Pehlivan, I., and S. Vaidyanathan, A New Four-Scroll Chaotic Attractor and Its Engineering Applications, Optik - International Journal for Light and Electron Optics, 2016. 127(13): p. 5491–5499.
- 10. Avaroğlu, E., Pseudorandom Number Generator Based on Arnold Cat Map and Statistical Analysis, Turkısh Journal of Electrıcal Engıneerıng & Computer Scıences, 2017. 25(1): p. 633–643.
- 11. Garipcan, A.M., and E. Erdem, A TRNG Using Chaotic Entropy Pool as a Post-Processing Technique: Analysis, Design and FPGA Implementation, Analog Integrated Circuits and Signal Processing, 2020. 103(2020): p. 391–410.
- 12. Akgül, A., Zahid Yıldız, M., Faruk Boyraz, Ö., Güleryüz, E., Kaçar, S., and B. Gürevin, Microcomputer-Based Encryption of Vein Images with a Non-Linear Novel System, Journal of the Faculty of Engineering and Architecture of Gazi University, 2020. 35(3): p. 1369–1385.
- 13. Bonny, T., Al Debsi, R., Majzoub, S., and A.S. Elwakil, Hardware Optimized FPGA Implementations of High-Speed True Random Bit Generators Based on Switching-Type Chaotic Oscillators, Circuits, Systems, and Signal Processing, 2019. 38(3): p. 1342–1359.
- 14. Çam Taşkıran, Z.G., and H. Sedef, Memristör Tabanlı Kaotik Rössler Devresi Gerçeklemesi, Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 2019. 35(2): p. 765–774.
- 15. Sundarapandian, V., and I. Pehlivan, Analysis, Control, Synchronization, and Circuit Design of a Novel Chaotic System, Mathematical and Computer Modelling, 2012. 55(7–8): p. 1904–1915.
- 16. Akgul, A., Hussain, S., and I. Pehlivan, A New Three-Dimensional Chaotic System, Its Dynamical Analysis and Electronic Circuit Applications, Optik-International Journal for Light and Electron Optics, 2016. 127(18): p. 7062–7071.
- 17. Lin, Y., Wang, C., and H. He, A Simple Multi-Scroll Chaotic Oscillator Employing CCIIs, Optik-International Journal for Light and Electron Optics, 2015. 126(7–8): p. 824–827.
- 18. Munoz-Pach, J.M., Campos-Lop, W., Tlelo-Cuau, E., and C. Sanchez-Lo, OpAmp-, CFOA- and OTA-Based Configurations to Design Multi-Scroll Chaotic Oscillators, Trends in Applied Sciences Research, 2012. 7(2): p. 168–174.
- 19. Bulut, G.G., Emin Şahin, M., and H. Güler, An Implementation of Chaotic Circuits with Multisim-LabVIEW, International Advanced Researches and Engineering Journal, 2018. 02(03): p. 304–308.
- 20. Dar, M.R., Kant, N.A., and F.A. Khanday, Realization of Fractional-Order Double-Scroll Chaotic System Using Operational Transconductance Amplifier (OTA), Journal of Circuits, Systems and Computers, 2018. 27(1): p. 1850006.
- 21. Singh, J.P., Koley, J., Akgul, A., Gurevin, B., and B.K. Roy, A New Chaotic Oscillator Containing Generalised Memristor, Single Op-Amp and RLC with Chaos Suppression and an Application for the Random Number Generation, European Physical Journal: Special Topics, 2019. 228(10): p. 2233–2245.
- 22. Yu, F., Shen, H., Liu, L., Zhang, Z., Huang, Y., He, B., Cai, S., Song, Y., Yin, B., Du, S., and Q, Xu, CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors, Complexity, 2020. 5212601: p. 1–17.
- 23. Hasan, S., and I.A. Khan, Multi-Scroll Chaos Generator Using Current Conveyors, 2009 International Multimedia, Signal Processing and Communication Technologies, 2009. Aligarh, India. p. 229–232.
- 24. Alçın, M., Pehlivan, İ., and İ. Koyuncu, Hardware Design and Implementation of a Novel ANN-Based Chaotic Generator in FPGA, Optik - International Journal for Light and Electron Optics, 2016. 127(13): p. 5500–5505.
- 25. Alçin, M., The Modelling Performance Evolution of Recurrent Neural Networks Having Different Training Functions for Modelling Sprott H Chaotic System, International Journal on Research Innovations in Engineering Science and Technology(IJRIEST), 2017. 2(10): p. 563–568.
- 26. Koyuncu, İ., Oğuz, Y., Çimen, H., Özer, T., and M. Tuna, Design and Implementation of Artificial Neural Network-Based 3-D Novel Jerk Chaotic Oscillator on FPGA, 3rd International Conference on Engineering Technology and Applied Sciences, 2018. Skopje, Macedonia. p. 1–6.
- 27. Alcin, M., Erdogmus, P., and I. Koyuncu, Artificial Neural Network-Based 4-D Hyper-Chaotic System on Field Programmable Gate Array, International Journal of Intelligent Systems and Applications in Engineering, 2020. 8(2): p. 102–108.
- 28. Vaidyanathan, S., Pehlivan, I., Dolvis, L.G., Jacques, K., Alcin, M., Tuna, M., and I. Koyuncu, A Novel ANN-Based Four-Dimensional Two-Disk Hyperchaotic Dynamical System, Bifurcation Analysis, Circuit Realisation and FPGA-Based TRNG Implementation, International Journal of Computer Applications in Technology, 2020. 62(1): p. 20–35.
- 29. Koyuncu, İ., Şahin, İ., Gloster, C., and N.K. Sarıtekin, A Neuron Library for Rapid Realization of Artificial Neural Networks on FPGA: A Case Study of Rössler Chaotic System, Journal of Circuits, Systems and Computers, 2017. 26(01): p. 1750015.
- 30. Dalkiran, I., and K. Danis, Artificial Neural Network Based Chaotic Generator for Cryptology, Turkish Journal of Electrical Engineering & Computer Sciences, 2010. 18(2): p. 225–240.
- 31. Alcin, M., Koyuncu, I., Tuna, M., Varan, M., and I. Pehlivan, A Novel High Speed Artificial Neural Network–Based Chaotic True Random Number Generator on Field Programmable Gate Array, International Journal of Circuit Theory and Applications, 2019. 47(3): p. 365–378.
- 32. Tuna, M., Karthikeyan, A., Rajagopal, K., Alçın, M., and İ. Koyuncu, Hyperjerk Multiscroll Oscillators with Megastability: Analysis, FPGA Implementation and A Novel ANN-Ring-Based True Random Number Generator, AEU-International Journal of Electronics and Communications, 2019. 112(2019): p. 152941–10.
- 33. Rajagopal, K., Akgul, A., Jafari, S., Karthikeyan, A., and I. Koyuncu, Chaotic Chameleon: Dynamic Analyses, Circuit Implementation, FPGA Design and Fractional-Order Form with Basic Analyses, Chaos, Solitons & Fractals, 2017. 103(2017): p. 476–487.
- 34. Bonny, T., Chaotic or Hyper-Chaotic Oscillator? Numerical Solution, Circuit Design, MATLAB HDL-Coder Implementation, VHDL Code, Security Analysis, and FPGA Realization, Circuits, Systems, and Signal Processing, 2020. p. 1–28.
- 35. Dursun, M., and E. Kaşifoğlu, Design and Implementation of the FPGA-Based Chaotic van Der Pol Oscillator, International Advanced Researches and Engineering Journal, 2018. 02(03): p. 309–314.
- 36. Karakaya, B., Turk, M.A., Turk, M., and A. Gulten, Selection of Optimal Numerical Method for Implementation of Lorenz Chaotic System on FPGA, International Advanced Researches and Engineering Journal, 2018. 02(02): p. 147–152.
- 37. Koyuncu, İ., and H.İ. Seker, Implementation of Dormand-Prince Based Chaotic Oscillator Designs in Different IQ-Math Number Standards on FPGA, Sakarya University Journal of Science, 2019. 23(5): p. 859–868.
- 38. Şeker, H.İ., Koyuncu, İ., Tuna, M., and M. Alçın, Implementation of Dormand Prince Based SEA Chaotic Oscillator Design on FPGA, V. Science Technology and Innovation Congress, 2019. Alanya, Turkey. p. 303–310.
- 39. Senouci, A., Bouhedjeur, H., Tourche, K., and A. Boukabou, FPGA Based Hardware and Device-Independent Implementation of Chaotic Generators, AEU-International Journal of Electronics and Communications, 2017. 82(2017): p. 211–220.
- 40. Kizmaz, H., Kocamaz, U.E., and Y. Uyaroğlu, Control of Memristor-Based Simplest Chaotic Circuit with One-State Controllers, Journal of Circuits, Systems, and Computers, 2019. 28(1): p. 1950007.
- 41. Koyuncu, İ., Şeker, H.İ., Tuna, M., and M. Alçın, Dormand-Prince Tabanlı Kaotik Osilatör Tasarımının FPGA Üzerinde Gerçeklenmesi, International Eurasian Conference on Science, Engineering and Technology, 2018. Ankara, Turkey. p. 1059–1065.
- 42. Koyuncu, İ., and A.T. Özcerit, The Design and Realization of a New High Speed FPGA-Based Chaotic True Random Number Generator, Computers & Electrical Engineering, 2017. 58(2017): p. 203–214.
- 43. Pehlivan, I., and Y. Uyaroglu, A New Chaotic Attractor from General Lorenz System Family and Its Electronic Experimental Implementation, Turkish Journal of Electrical Engineering & Computer Sciences, 2010. 18(2): p. 171–184.
- 44. Pehlivan, İ., and Z. Wei, Analysis, Nonlinear Control, and Chaos Generator Circuit of Another Strange Chaotic System, Turkısh Journal of Electrıcal Engıneerıng & Computer Scıences, 2012. 20(2): p. 1229–1239.