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06.01.2024

CCCCTA-based Chua’s Circuit for Chaotic Oscillation

verfasst von: Vivek Bhatt, Ashish Ranjan, Manoj Joshi

Erschienen in: Circuits, Systems, and Signal Processing | Ausgabe 4/2024

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Abstract

This research article contributes a Chua’s diode implementation using a modern active block Current Controlled Current Conveyor Transconductance Amplifier (CCCCTA) with an active MOS transistor for electronically tunable feature. CCCCTA and MOS resistor are responsible for the variation in Chua’s diode characteristics and their performance is well studied with the help of dynamical aspects like dissipativity, invariance, bifurcation diagram, Lyapunov exponents, and basin of attraction. The proposed model has a hidden attractor with one unstable node equilibrium and two symmetric stable node equilibrium points. In addition to numerical simulation in MATLAB, the electronic circuit for the proposed Chua’s circuit is successfully verified in PSPICE and hardware implementation using commercially available ICs (AD844, CA3080). Chua’s traditional chaotic response (double scroll, Rossler, and large limit cycle) can be easily observed by: (i) adjusting the coupling resistor between two capacitor present in a Chua’s circuit, (ii) tuning the bias current of CCCCTA present in the proposed Chua’s diode, and (iii) by tuning the controlling voltage of MOS resistor (RMOS). The feasibility of the proposed work applies to Chaotic Amplitude Shift Keying (CASK) transmission. Finally, a comparative study is studied with the existing works of literature.

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Literatur
1.
Zurück zum Zitat B.C. Bao, Q.D. Li, N. Wang, Q. Xu, Multistability in Chua’s circuit with two stable node-foci Chaos. Interdisciplin. J. Nonlinear Sci. 26(4), 043111 (2016)CrossRef B.C. Bao, Q.D. Li, N. Wang, Q. Xu, Multistability in Chua’s circuit with two stable node-foci Chaos. Interdisciplin. J. Nonlinear Sci. 26(4), 043111 (2016)CrossRef
2.
Zurück zum Zitat V. Bhatt, A. Ranjan, Y.S. Singh, Resistorless Chua’s diode implementation for Chaotic oscillation employing single EXCCCII. AEU-Int. J. Electron. Commun. 156, 154398 (2022)CrossRef V. Bhatt, A. Ranjan, Y.S. Singh, Resistorless Chua’s diode implementation for Chaotic oscillation employing single EXCCCII. AEU-Int. J. Electron. Commun. 156, 154398 (2022)CrossRef
3.
Zurück zum Zitat H.P. Chen, Y.S. Hwang, Y.T. Ku, Voltage-mode and current-mode resistorless third-order quadrature oscillator. Appl. Sci. 7(2), 179 (2017)ADSCrossRef H.P. Chen, Y.S. Hwang, Y.T. Ku, Voltage-mode and current-mode resistorless third-order quadrature oscillator. Appl. Sci. 7(2), 179 (2017)ADSCrossRef
4.
Zurück zum Zitat M. Chen, X. Quan, B. Bao, Hidden attractors in a practical Chua’s circuit based on a modified Chua’s diode. Electronics Letter 52(1), 23–25 (2015)ADS M. Chen, X. Quan, B. Bao, Hidden attractors in a practical Chua’s circuit based on a modified Chua’s diode. Electronics Letter 52(1), 23–25 (2015)ADS
5.
Zurück zum Zitat C.K. Choubey, S.K. Paul, Implementation of Chaotic oscillator by designing a simple Chua’s diode using a single VDTA. Int. J. Electron. Commun. 124, 153360 (2020)CrossRef C.K. Choubey, S.K. Paul, Implementation of Chaotic oscillator by designing a simple Chua’s diode using a single VDTA. Int. J. Electron. Commun. 124, 153360 (2020)CrossRef
6.
Zurück zum Zitat L.O. Chua, M. Komuro, T. Matsumoto, The double scroll family. IEEE Trans. Circ. Syst. 33(11), 1073–1118 (1986)ADSCrossRef L.O. Chua, M. Komuro, T. Matsumoto, The double scroll family. IEEE Trans. Circ. Syst. 33(11), 1073–1118 (1986)ADSCrossRef
7.
Zurück zum Zitat E.T. Cuautle, A.G. Hernndez, Implementation of a chaotic oscillator by designing Chua’s diode with CMOS CFOAs. Analog Integr. Circ. Sig. Process 48(2), 159–162 (2006)CrossRef E.T. Cuautle, A.G. Hernndez, Implementation of a chaotic oscillator by designing Chua’s diode with CMOS CFOAs. Analog Integr. Circ. Sig. Process 48(2), 159–162 (2006)CrossRef
8.
Zurück zum Zitat G. Gandhi, An improved Chua’s circuit and its use in hyper chaotic circuit. Analog Int. Circ. Signal Process. 46(2), 173–178 (2006)CrossRef G. Gandhi, An improved Chua’s circuit and its use in hyper chaotic circuit. Analog Int. Circ. Signal Process. 46(2), 173–178 (2006)CrossRef
9.
Zurück zum Zitat P. Gaspard, Rossler systems. New York: Routledge (1st ed.), 808–814 (2005). P. Gaspard, Rossler systems. New York: Routledge (1st ed.), 808–814 (2005).
10.
Zurück zum Zitat K. Gopakumar, B. Premlet, K.G. Gopchandran, Implementation of Chua’s circuit usingsimulated inductance. Int. J. Electron. 98(5), 667–677 (2011)CrossRef K. Gopakumar, B. Premlet, K.G. Gopchandran, Implementation of Chua’s circuit usingsimulated inductance. Int. J. Electron. 98(5), 667–677 (2011)CrossRef
11.
Zurück zum Zitat S. Jafari, A. Ahmadi, A.J.M. Khalaf, H.R. Abdolmohammadi, V.T. Pham, F.E. Alsaadi, A new hidden Chaotic attractor with extreme multi-stability. AEU – Int J. Electro. Commun. 89, 131–135 (2018)CrossRef S. Jafari, A. Ahmadi, A.J.M. Khalaf, H.R. Abdolmohammadi, V.T. Pham, F.E. Alsaadi, A new hidden Chaotic attractor with extreme multi-stability. AEU – Int J. Electro. Commun. 89, 131–135 (2018)CrossRef
12.
Zurück zum Zitat M.D. Johansyah, A new 3-D multistable Chaotic system with line equilibrium: dynamic analysis and synchronization. Int. J. Quant. Res. Model. 2(1), 55–66 (2021)CrossRef M.D. Johansyah, A new 3-D multistable Chaotic system with line equilibrium: dynamic analysis and synchronization. Int. J. Quant. Res. Model. 2(1), 55–66 (2021)CrossRef
13.
Zurück zum Zitat M. Joshi, A. Ranjan, Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium. Chaos Solitons Fractals 134, 109693 (2020)MathSciNetCrossRef M. Joshi, A. Ranjan, Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium. Chaos Solitons Fractals 134, 109693 (2020)MathSciNetCrossRef
14.
Zurück zum Zitat M. Joshi, P. Mohit, A. Ranjan, N-th-order simple hyperjerk system with unstable equilibrium and its application as RPG. Circ. Syst. Signal Process. 40, 5913–5934 (2021)CrossRef M. Joshi, P. Mohit, A. Ranjan, N-th-order simple hyperjerk system with unstable equilibrium and its application as RPG. Circ. Syst. Signal Process. 40, 5913–5934 (2021)CrossRef
15.
Zurück zum Zitat M.P. Kennedy, Robust op-amp realization of Chua’s circuit. Frequenz 46, 66–80 (1992)ADSCrossRef M.P. Kennedy, Robust op-amp realization of Chua’s circuit. Frequenz 46, 66–80 (1992)ADSCrossRef
16.
Zurück zum Zitat R. Kılıç, U. Cam, H. Kuntman, E. Uzunhisarcıklı, Realization of inductorless Chua’s circuit using FTFN-based nonlinear resistor and inductance simulator. Frequenz 58, 1–2 (2004) R. Kılıç, U. Cam, H. Kuntman, E. Uzunhisarcıklı, Realization of inductorless Chua’s circuit using FTFN-based nonlinear resistor and inductance simulator. Frequenz 58, 1–2 (2004)
17.
Zurück zum Zitat N. Kumar, J. Vista, A. Ranjan, A tuneable active inductor employing DXCCTA: grounded and floating operation. Microelectron. J. 90, 1–11 (2019)CrossRef N. Kumar, J. Vista, A. Ranjan, A tuneable active inductor employing DXCCTA: grounded and floating operation. Microelectron. J. 90, 1–11 (2019)CrossRef
18.
Zurück zum Zitat A.K. Kushwaha, S.K. Paul, Inductorless realization of Chua’s oscillator using DVCCTA. Analog Integr. Circ. Sig. Process 88(1), 137–150 (2016)CrossRef A.K. Kushwaha, S.K. Paul, Inductorless realization of Chua’s oscillator using DVCCTA. Analog Integr. Circ. Sig. Process 88(1), 137–150 (2016)CrossRef
19.
Zurück zum Zitat A.K. Kushwaha, S.K. Paul, Chua’s oscillator using operational transresistance amplifier. Rev. Roum. Sci. Techn. Électrotechn. Et Énerg. 61(3), 299–303 (2016) A.K. Kushwaha, S.K. Paul, Chua’s oscillator using operational transresistance amplifier. Rev. Roum. Sci. Techn. Électrotechn. Et Énerg. 61(3), 299–303 (2016)
20.
Zurück zum Zitat G.A. Leonov, N.V. Kuznetsov, V.I. Vagaitsev, Localization of hidden Chuaʼs attractors. Phys. Lett. A 375(23), 2230–2233 (2011)ADSMathSciNetCrossRef G.A. Leonov, N.V. Kuznetsov, V.I. Vagaitsev, Localization of hidden Chuaʼs attractors. Phys. Lett. A 375(23), 2230–2233 (2011)ADSMathSciNetCrossRef
21.
Zurück zum Zitat T. Liu, H. Yan, S. Banerjee, J. Mou, A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation. Chaos Solitons Fractals 145, 110791 (2021)MathSciNetCrossRef T. Liu, H. Yan, S. Banerjee, J. Mou, A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation. Chaos Solitons Fractals 145, 110791 (2021)MathSciNetCrossRef
22.
Zurück zum Zitat E.N. Lorenz, Deterministic non-periodic flow simple 4d chaotic oscillator. J. Atmos. Sci. 20, 130–141 (1963)ADSCrossRef E.N. Lorenz, Deterministic non-periodic flow simple 4d chaotic oscillator. J. Atmos. Sci. 20, 130–141 (1963)ADSCrossRef
23.
Zurück zum Zitat A. Mishra, K. Sehra, S. Sahil, A. Joshi, P. Kasturi, M. Saxena, Memristor based cryptographic information processing for secured communication systems. In: 5th International Conference on Devices, Circuits and Systems (ICDCS), IEEE, Coimbatore, India, 167–171 (2020). A. Mishra, K. Sehra, S. Sahil, A. Joshi, P. Kasturi, M. Saxena, Memristor based cryptographic information processing for secured communication systems. In: 5th International Conference on Devices, Circuits and Systems (ICDCS), IEEE, Coimbatore, India, 167–171 (2020).
24.
Zurück zum Zitat O. Morgul, Inductorless realization of Chua oscillator. Electronics Letter 31(17), 1403–1404 (1995)ADSCrossRef O. Morgul, Inductorless realization of Chua oscillator. Electronics Letter 31(17), 1403–1404 (1995)ADSCrossRef
25.
Zurück zum Zitat L.N. Nguenjou, G. Kom, J.R.M. Pone, K. Jacques, A. Tiedeu, A window of multistability in Genesio-Tesi chaotic system, synchronization and application for securing information. AEU Int. J. Electron. Commun. 99, 201–214 (2019)CrossRef L.N. Nguenjou, G. Kom, J.R.M. Pone, K. Jacques, A. Tiedeu, A window of multistability in Genesio-Tesi chaotic system, synchronization and application for securing information. AEU Int. J. Electron. Commun. 99, 201–214 (2019)CrossRef
26.
Zurück zum Zitat V.T. Pham, C. Volos, S. Jafari, T. Kapitaniak, Coexistence of hidden Chaotic attractors in a novel no-equilibrium system. Nonlinear Dyn. 87(3), 2001–2010 (2017)CrossRef V.T. Pham, C. Volos, S. Jafari, T. Kapitaniak, Coexistence of hidden Chaotic attractors in a novel no-equilibrium system. Nonlinear Dyn. 87(3), 2001–2010 (2017)CrossRef
27.
Zurück zum Zitat V.T. Pham, S. Jafari, C. Volos, T. Kapitaniak, Different families of hidden attractors in a new chaotic system with variable equilibrium. Int. J. Bifurcation Chaos 27(9), 1750138 (2017)ADSMathSciNetCrossRef V.T. Pham, S. Jafari, C. Volos, T. Kapitaniak, Different families of hidden attractors in a new chaotic system with variable equilibrium. Int. J. Bifurcation Chaos 27(9), 1750138 (2017)ADSMathSciNetCrossRef
28.
Zurück zum Zitat N. Pratyusha, S. Mandal, Design and Implementation of a Novel Circuit-Based Memristive Non-autonomous Hyperchaotic System with Conservative and Offset Boosting for Applications to Image Encryption. Circuits, Systems, and Signal Processing, 1–23 (2023). N. Pratyusha, S. Mandal, Design and Implementation of a Novel Circuit-Based Memristive Non-autonomous Hyperchaotic System with Conservative and Offset Boosting for Applications to Image Encryption. Circuits, Systems, and Signal Processing, 1–23 (2023).
29.
Zurück zum Zitat R. Senani, S. Gupta, Implementation of Chua’s chaotic circuit using current feedback opamp. Electronics Letter 34(9), 829–830 (1998)ADSCrossRef R. Senani, S. Gupta, Implementation of Chua’s chaotic circuit using current feedback opamp. Electronics Letter 34(9), 829–830 (1998)ADSCrossRef
30.
Zurück zum Zitat M. Siripruchyanun, P. Silapan, W. Jaikla, Realizatio of CMOS current controlled current convey or transconductance amplifier and its application. J. Active Passive Dev. 4, 35–53 (2009) M. Siripruchyanun, P. Silapan, W. Jaikla, Realizatio of CMOS current controlled current convey or transconductance amplifier and its application. J. Active Passive Dev. 4, 35–53 (2009)
31.
Zurück zum Zitat M. Siripruchyanun, W. Jaikla, Current controlled current conveyor transconductance amplifier (CCCCTA): a building block for analog signal processing. Electr. Eng. 90(6), 443–453 (2008)CrossRef M. Siripruchyanun, W. Jaikla, Current controlled current conveyor transconductance amplifier (CCCCTA): a building block for analog signal processing. Electr. Eng. 90(6), 443–453 (2008)CrossRef
32.
Zurück zum Zitat J.C. Sprott, A new chaotic jerk circuit. IEEE Trans. Circuits Syst. II(58), 240–243 (2011)CrossRef J.C. Sprott, A new chaotic jerk circuit. IEEE Trans. Circuits Syst. II(58), 240–243 (2011)CrossRef
33.
Zurück zum Zitat N.V. Stankevich, N.V. Kuznetsov, G.A. Leonov, L.O. Chua, Scenario of the birth of hidden attractors in the Chua circuit. Int. J. Bifurcation Chaos 27(12), 1730038 (2017)ADSMathSciNetCrossRef N.V. Stankevich, N.V. Kuznetsov, G.A. Leonov, L.O. Chua, Scenario of the birth of hidden attractors in the Chua circuit. Int. J. Bifurcation Chaos 27(12), 1730038 (2017)ADSMathSciNetCrossRef
34.
Zurück zum Zitat L.A.B. Torres, L.A. Aguirre, Inductorless Chua’s circuit. Electronics Lett. 36(23), 1915–1916 (2000)ADSCrossRef L.A.B. Torres, L.A. Aguirre, Inductorless Chua’s circuit. Electronics Lett. 36(23), 1915–1916 (2000)ADSCrossRef
35.
Zurück zum Zitat N. Wang, G. Zhang, N.V. Kuznetsov, H. Bao, Hidden attractors and multistability in a modified Chua’s circuit. Commun. Nonlinear Sci. Numer. Simul. 92, 1–22 (2020)MathSciNet N. Wang, G. Zhang, N.V. Kuznetsov, H. Bao, Hidden attractors and multistability in a modified Chua’s circuit. Commun. Nonlinear Sci. Numer. Simul. 92, 1–22 (2020)MathSciNet
36.
Zurück zum Zitat A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano, Determining Lyapunov exponents from a time series. Physica D 16(3), 285–317 (1985)ADSMathSciNetCrossRef A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano, Determining Lyapunov exponents from a time series. Physica D 16(3), 285–317 (1985)ADSMathSciNetCrossRef
37.
Zurück zum Zitat S. Zhang, C. Li, J. Zheng, X. Wang, Z. Zeng, X. Peng, Generating any number of initial offset-boosted coexisting chua’s double-scroll attractors via piecewise-nonlinear memristor. IEEE Trans. Industr. Electron. 69(7), 7202–7212 (2021)CrossRef S. Zhang, C. Li, J. Zheng, X. Wang, Z. Zeng, X. Peng, Generating any number of initial offset-boosted coexisting chua’s double-scroll attractors via piecewise-nonlinear memristor. IEEE Trans. Industr. Electron. 69(7), 7202–7212 (2021)CrossRef
Metadaten
Titel
CCCCTA-based Chua’s Circuit for Chaotic Oscillation
verfasst von
Vivek Bhatt
Ashish Ranjan
Manoj Joshi
Publikationsdatum
06.01.2024
Verlag
Springer US
Erschienen in
Circuits, Systems, and Signal Processing / Ausgabe 4/2024
Print ISSN: 0278-081X
Elektronische ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-023-02579-w