Research Article
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Year 2023, Volume: 5 Issue: 1, 52 - 58, 31.03.2023
https://doi.org/10.51537/chaos.1204681

Abstract

References

  • Akgul, A., I. Moroz, I. Pehlivan, and S. Vaidyanathan, 2016 A new four-scroll chaotic attractor and its engineering applications. Optik 127: 5491–5499.
  • Cao, H.-Y. and L. Zhao, 2021 A new chaotic system with different equilibria and attractors. The European Physical Journal Special Topics 230: 1905–1914.
  • Carroll, T. L. and L. M. Pecora, 1995 Synchronizing chaotic circuits. In Nonlinear Dynamics in Circuits, pp. 215–248,World Scientific.
  • Chua, L. O., M. Itoh, L. Kocarev, and K. Eckert, 1993a Chaos synchronization in chua’s circuit. Journal of Circuits, Systems, and Computers 3: 93–108.
  • Chua, L. O., C. W. Wu, A. Huang, and G.-Q. Zhong, 1993b A universal circuit for studying and generating chaos. i. routes to chaos. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 40: 732–744.
  • Cuomo, K. M., A. V. Oppenheim, and S. H. Strogatz, 1993 Synchronization of lorenz-based chaotic circuits with applications to communications. IEEE Transactions on circuits and systems II: Analog and digital signal processing 40: 626–633.
  • Deng, K., J. Li, and S. Yu, 2014 Dynamics analysis and synchronization of a new chaotic attractor. Optik 125: 3071–3075.
  • Deniz, H. I., Z. G. C. Taskiran, and H. Sedef, 2018 Chaotic lorenz synchronization circuit design for secure communication. In 2018 6th International conference on control engineering & information technology (CEIT), pp. 1–6, IEEE.
  • Escudero, M., I. Vourkas, and A. Rubio, 2020 Alternative memristor-based interconnect topologies for fast adaptive synchronization of chaotic circuits. Chaos, Solitons & Fractals 138: 109974.
  • Fan, T., X. Tuo, H. Li, and P. He, 2019 Chaos control and circuit implementation of a class of double-wing chaotic system. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 32: e2611.
  • Gambuzza, L. V., A. Buscarino, L. Fortuna, and M. Frasca, 2015 Memristor-based adaptive coupling for consensus and synchronization. IEEE Transactions on Circuits and Systems I: Regular Papers 62: 1175–1184.
  • Grassberger, P. and I. Procaccia, 1983 Measuring the strangeness of strange attractors. Physica D: nonlinear phenomena 9: 189–208.
  • Haron, N. Z., N. Arshad, and F. Salehuddin, 2014 Performance analysis of memristor models for rram cell array design using silvaco eda. Jurnal Teknologi 68.
  • Joglekar, Y. N. and S. J. Wolf, 2009 The elusive memristor: properties of basic electrical circuits. European Journal of physics 30: 661.
  • Karawanich, K. and P. Prommee, 2022 High-complex chaotic system based on new nonlinear function and ota-based circuit realization. Chaos, Solitons & Fractals 162: 112536.
  • Lai, Q., A. Akgul, C. Li, G. Xu, and Ü. Çavu¸so˘ glu, 2017 A new chaotic system with multiple attractors: Dynamic analysis, circuit realization and s-box design. Entropy 20: 12.
  • Lorenz, E. N., 1963 Deterministic nonperiodic flow. Journal of atmospheric sciences 20: 130–141.
  • Lü, J., G. Chen, and S. Zhang, 2002 Dynamical analysis of a new chaotic attractor. International Journal of Bifurcation and chaos 12: 1001–1015.
  • Özer, A. and E. Akın, 2005 Tools for detecting chaos. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9: 60–66.
  • Pappu, C. S., B. C. Flores, P. S. Debroux, and J. E. Boehm, 2017 An electronic implementation of lorenz chaotic oscillator synchronization for bistatic radar applications. IEEE Transactions on Aerospace and Electronic Systems 53: 2001–2013.
  • Pehlivan, I. and Y. Uyaro˘ glu, 2010 A new chaotic attractor from general lorenz system family and its electronic experimental implementation. Turkish Journal of Electrical Engineering and Computer Sciences 18: 171–184.
  • Rabinovich, M. I. and A. L. Fabrikant, 1979 Stochastic selfmodulation of waves in nonequilibrium media. J. Exp. Theor. Phys 77: 617–629.
  • Rössler, O. E., 1976 An equation for continuous chaos. Physics Letters A 57: 397–398.
  • Sambas, A.,W. Mada Sanjaya, M. Mamat, and O. Tacha, 2013 Design and numerical simulation of unidirectional chaotic synchronization and its application in secure communication system. Journal of Engineering Science and Technology Review 6: 66–73.
  • Sundarapandian, V. and I. Pehlivan, 2012 Analysis, control, synchronization, and circuit design of a novel chaotic system. Mathematical and Computer Modelling 55: 1904–1915.
  • Uyaro˘ glu, Y. and ˙I. Pehlivan, 2010 Nonlinear sprott94 case a chaotic equation: synchronization and masking communication applications. Computers & Electrical Engineering 36: 1093–1100.
  • Wang, Y., F. Min, Y. Cheng, and Y. Dou, 2021 Dynamical analysis in dual-memristor-based fitzhugh–nagumo circuit and its coupling finite-time synchronization. The European Physical Journal Special Topics 230: 1751–1762.
  • Wolf, A., J. B. Swift, H. L. Swinney, and J. A. Vastano, 1985 Determining lyapunov exponents from a time series. Physica D: nonlinear phenomena 16: 285–317.
  • Xu, Y.-m., Z. Yao, A. Hobiny, and J. Ma, 2019a Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits. Frontiers of Information Technology & Electronic Engineering 20: 571–583.
  • Xu, Y.-m., Z. Yao, A. Hobiny, and J. Ma, 2019b Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits. Frontiers of Information Technology & Electronic Engineering 20: 571–583.
  • Yao, Z., J. Ma, Y. Yao, and C. Wang, 2019 Synchronization realization between two nonlinear circuits via an induction coil coupling. Nonlinear Dynamics 96: 205–217.
  • Yao, Z., P. Zhou, A. Alsaedi, and J. Ma, 2020 Energy flow-guided synchronization between chaotic circuits. Applied Mathematics and Computation 374: 124998.
  • Yildirim, M., 2022 Optical color image encryption scheme with a novel dna encoding algorithm based on a chaotic circuit. Chaos, Solitons & Fractals 155: 111631.
  • Zhang, X., C. Wang, J. Ma, and G. Ren, 2020a Control and synchronization in nonlinear circuits by using a thermistor. Modern Physics Letters B 34: 2050267.
  • Zhang, X., F. Wu, J. Ma, A. Hobiny, F. Alzahrani, et al., 2020b Field coupling synchronization between chaotic circuits via a memristor. AEU-International Journal of Electronics and Communications 115: 153050.
  • Zhou,W., Y. Xu, H. Lu, and L. Pan, 2008 On dynamics analysis of a new chaotic attractor. Physics Letters A 372: 5773–5777.

A Lorenz-like Chaotic OTA-C Circuit and Memristive Synchronization

Year 2023, Volume: 5 Issue: 1, 52 - 58, 31.03.2023
https://doi.org/10.51537/chaos.1204681

Abstract

In this paper, a new set of lorenz-like hyper-chaotic equation set is obtained using the anti-control procedure. The chaoticity of the system is verified by MATLAB simulations using mathematical analysis methods. A new OTA-C circuit is designed for the new equation set. In the difference term addition technique, synchronizing the OTA-C circuit with a memristor rather than a resistor is proposed. Circuit design and synchronization are performed in PSpice simulation. The fact that the transresistance of the OTA element can be easily adjusted with a bias current provides the parameters that will make the proposed dynamic circuit a chaotic oscillator. The advantage of the proposed synchronization method is that the memristor automatically reaches to the value that will provide the required weight of the differential term required for synchronization, rather than the computational methods used to determine the weight.

References

  • Akgul, A., I. Moroz, I. Pehlivan, and S. Vaidyanathan, 2016 A new four-scroll chaotic attractor and its engineering applications. Optik 127: 5491–5499.
  • Cao, H.-Y. and L. Zhao, 2021 A new chaotic system with different equilibria and attractors. The European Physical Journal Special Topics 230: 1905–1914.
  • Carroll, T. L. and L. M. Pecora, 1995 Synchronizing chaotic circuits. In Nonlinear Dynamics in Circuits, pp. 215–248,World Scientific.
  • Chua, L. O., M. Itoh, L. Kocarev, and K. Eckert, 1993a Chaos synchronization in chua’s circuit. Journal of Circuits, Systems, and Computers 3: 93–108.
  • Chua, L. O., C. W. Wu, A. Huang, and G.-Q. Zhong, 1993b A universal circuit for studying and generating chaos. i. routes to chaos. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 40: 732–744.
  • Cuomo, K. M., A. V. Oppenheim, and S. H. Strogatz, 1993 Synchronization of lorenz-based chaotic circuits with applications to communications. IEEE Transactions on circuits and systems II: Analog and digital signal processing 40: 626–633.
  • Deng, K., J. Li, and S. Yu, 2014 Dynamics analysis and synchronization of a new chaotic attractor. Optik 125: 3071–3075.
  • Deniz, H. I., Z. G. C. Taskiran, and H. Sedef, 2018 Chaotic lorenz synchronization circuit design for secure communication. In 2018 6th International conference on control engineering & information technology (CEIT), pp. 1–6, IEEE.
  • Escudero, M., I. Vourkas, and A. Rubio, 2020 Alternative memristor-based interconnect topologies for fast adaptive synchronization of chaotic circuits. Chaos, Solitons & Fractals 138: 109974.
  • Fan, T., X. Tuo, H. Li, and P. He, 2019 Chaos control and circuit implementation of a class of double-wing chaotic system. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 32: e2611.
  • Gambuzza, L. V., A. Buscarino, L. Fortuna, and M. Frasca, 2015 Memristor-based adaptive coupling for consensus and synchronization. IEEE Transactions on Circuits and Systems I: Regular Papers 62: 1175–1184.
  • Grassberger, P. and I. Procaccia, 1983 Measuring the strangeness of strange attractors. Physica D: nonlinear phenomena 9: 189–208.
  • Haron, N. Z., N. Arshad, and F. Salehuddin, 2014 Performance analysis of memristor models for rram cell array design using silvaco eda. Jurnal Teknologi 68.
  • Joglekar, Y. N. and S. J. Wolf, 2009 The elusive memristor: properties of basic electrical circuits. European Journal of physics 30: 661.
  • Karawanich, K. and P. Prommee, 2022 High-complex chaotic system based on new nonlinear function and ota-based circuit realization. Chaos, Solitons & Fractals 162: 112536.
  • Lai, Q., A. Akgul, C. Li, G. Xu, and Ü. Çavu¸so˘ glu, 2017 A new chaotic system with multiple attractors: Dynamic analysis, circuit realization and s-box design. Entropy 20: 12.
  • Lorenz, E. N., 1963 Deterministic nonperiodic flow. Journal of atmospheric sciences 20: 130–141.
  • Lü, J., G. Chen, and S. Zhang, 2002 Dynamical analysis of a new chaotic attractor. International Journal of Bifurcation and chaos 12: 1001–1015.
  • Özer, A. and E. Akın, 2005 Tools for detecting chaos. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9: 60–66.
  • Pappu, C. S., B. C. Flores, P. S. Debroux, and J. E. Boehm, 2017 An electronic implementation of lorenz chaotic oscillator synchronization for bistatic radar applications. IEEE Transactions on Aerospace and Electronic Systems 53: 2001–2013.
  • Pehlivan, I. and Y. Uyaro˘ glu, 2010 A new chaotic attractor from general lorenz system family and its electronic experimental implementation. Turkish Journal of Electrical Engineering and Computer Sciences 18: 171–184.
  • Rabinovich, M. I. and A. L. Fabrikant, 1979 Stochastic selfmodulation of waves in nonequilibrium media. J. Exp. Theor. Phys 77: 617–629.
  • Rössler, O. E., 1976 An equation for continuous chaos. Physics Letters A 57: 397–398.
  • Sambas, A.,W. Mada Sanjaya, M. Mamat, and O. Tacha, 2013 Design and numerical simulation of unidirectional chaotic synchronization and its application in secure communication system. Journal of Engineering Science and Technology Review 6: 66–73.
  • Sundarapandian, V. and I. Pehlivan, 2012 Analysis, control, synchronization, and circuit design of a novel chaotic system. Mathematical and Computer Modelling 55: 1904–1915.
  • Uyaro˘ glu, Y. and ˙I. Pehlivan, 2010 Nonlinear sprott94 case a chaotic equation: synchronization and masking communication applications. Computers & Electrical Engineering 36: 1093–1100.
  • Wang, Y., F. Min, Y. Cheng, and Y. Dou, 2021 Dynamical analysis in dual-memristor-based fitzhugh–nagumo circuit and its coupling finite-time synchronization. The European Physical Journal Special Topics 230: 1751–1762.
  • Wolf, A., J. B. Swift, H. L. Swinney, and J. A. Vastano, 1985 Determining lyapunov exponents from a time series. Physica D: nonlinear phenomena 16: 285–317.
  • Xu, Y.-m., Z. Yao, A. Hobiny, and J. Ma, 2019a Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits. Frontiers of Information Technology & Electronic Engineering 20: 571–583.
  • Xu, Y.-m., Z. Yao, A. Hobiny, and J. Ma, 2019b Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits. Frontiers of Information Technology & Electronic Engineering 20: 571–583.
  • Yao, Z., J. Ma, Y. Yao, and C. Wang, 2019 Synchronization realization between two nonlinear circuits via an induction coil coupling. Nonlinear Dynamics 96: 205–217.
  • Yao, Z., P. Zhou, A. Alsaedi, and J. Ma, 2020 Energy flow-guided synchronization between chaotic circuits. Applied Mathematics and Computation 374: 124998.
  • Yildirim, M., 2022 Optical color image encryption scheme with a novel dna encoding algorithm based on a chaotic circuit. Chaos, Solitons & Fractals 155: 111631.
  • Zhang, X., C. Wang, J. Ma, and G. Ren, 2020a Control and synchronization in nonlinear circuits by using a thermistor. Modern Physics Letters B 34: 2050267.
  • Zhang, X., F. Wu, J. Ma, A. Hobiny, F. Alzahrani, et al., 2020b Field coupling synchronization between chaotic circuits via a memristor. AEU-International Journal of Electronics and Communications 115: 153050.
  • Zhou,W., Y. Xu, H. Lu, and L. Pan, 2008 On dynamics analysis of a new chaotic attractor. Physics Letters A 372: 5773–5777.
There are 36 citations in total.

Details

Primary Language English
Subjects Electrical Engineering
Journal Section Research Articles
Authors

Şule Zeynep Aydın 0000-0002-4269-9986

Gökçe Nur Beken 0000-0002-6433-8241

Zehra Gülru Çam Taşkıran 0000-0002-7996-7948

Publication Date March 31, 2023
Published in Issue Year 2023 Volume: 5 Issue: 1

Cite

APA Aydın, Ş. Z., Beken, G. N., & Çam Taşkıran, Z. G. (2023). A Lorenz-like Chaotic OTA-C Circuit and Memristive Synchronization. Chaos Theory and Applications, 5(1), 52-58. https://doi.org/10.51537/chaos.1204681

Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science 23830 28903   

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