Year 2023,
Volume: 5 Issue: 1, 52 - 58, 31.03.2023
Şule Zeynep Aydın
,
Gökçe Nur Beken
,
Zehra Gülru Çam Taşkıran
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
Şule Zeynep Aydın
,
Gökçe Nur Beken
,
Zehra Gülru Çam Taşkıran
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.