Research Article
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A Secure Communication System of Synchronized Chua’s Circuits in LC Parallel Coupling

Year 2023, Volume: 5 Issue: 3, 167 - 177, 30.11.2023
https://doi.org/10.51537/chaos.1316437

Abstract

Synchronization capability of two identical chaotic systems can be used for constructing the secure communication systems where the chaotic signal is used as the information carrier. In this paper, a secure communication system is designed by using the bi-directionally synchronized identical Chua’s circuits in LC parallel coupling. LC parallel circuit is used as the new coupling element instead of using a single resistor or capacitor or inductor as the coupling element. This makes the complete synchronization of Chua’s circuits possible for many different sets of coupling inductance and capacitance values so that the flexibility of constructing the secure communication systems is realized. Both the synchronized Chua’s circuits in LC parallel coupling and the corresponding secure communication system are constructed by using the LTspice software. The simulation results show that the secure communication system proposed in the present paper is very efficient for the message transmission for different pairs of coupling inductance and coupling capacitance values where the complete synchronization of Chua’s circuits is observed occur. The two essential properties of an ideal secure communication system - perfect message masking and recovery are observed when compared to other secure communication systems already proposed and constructed previously. So, the simulation results of the present study can be used for practically constructing the efficient communication systems in future.

References

  • Adel Ouannas, G. G. V.-T. P., Abdulrahman Karouma and V. S. Luong, 2021 A novel secure communications scheme based on chaotic modulation, recursive encryption and chaotic masking. Alexandria Engineering Journal 60: 1873–1884.
  • Bonny T., N. W., V. S., and S. A., 2023 Highly secured chaos-based communication system using cascaded masking technique and adaptive synchronization. Multimedia Tools and Applications 82: 1–30.
  • Chua, L. O., 1992 The genesis of Chua’s circuit. Archiv fur Elektronik und Ubertragungstechnik 46: 250–257.
  • Cuomo, K. and A. Oppenheim, 1993 Circuit implementation of synchronized chaos with applications to communications. Phys. Rev. Lett. 71: 65–68.
  • Emiliia Nazarenko, S. G. S. N. M. F. F. T. A., Nikolaos Athanasios Anagnostopoulos and S. Katzenbeisser, 2023 Real-world chaos based cryptography using synchronized chua chaotic circuits. https://arxiv.org/pdf/2210.11299.pdf.
  • H.Dedieu, M. and M.Hasler, 1993 Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing chua’s circuits. IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing 40: 634–642.
  • I.P. Marino, E. R. J. and C. Grebogi, 1999 Signal dropout reconstruction in communication with chaos. Int. J. Bifurc.,Chaos 9: 2291–2293.
  • Kennedy, M. P., 1992 Robust op-amp realization of chua’s circuit. Frequenz 46.
  • K.M. Cuomo, A. O. and S. Strogatz, 1993 Synchronization of lorenzbased chaotic circuits with applications to communications. IEEE Trans. Circuits Syst. 40: 626–633.
  • Koh, C. L. and T. Ushio, 1997 Digital communication method based on m-synchronized chaotic systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 44: 383–390.
  • L. Kocarev, K. E. L. C., K.S. Halle and U. Parlitz, 1992 Experimental demonstration of secure communications via chaotic synchronization. Int. J.Bifurc. Chaos 2: 709–713.
  • Leon O.Chua, K. E., Ljupco Kocarev and M. Itoh, 1992 Experimental synchronization in chua’s circuit. International Journal of Bifurcation and Chaos 2: 705–708.
  • Liao Xiao-Xin LUE Hai-Geng, Z. X.-J., JIAN Ji-Gui and XUBing-Ji, 2005 New results on global synchronization of chua’s circuit. Acta Automatica Sinica. 31.
  • LinearTechnology, 2011 Ltspice iv getting started guide,linear technology, 2011. https://www.analog.com/media/en/simulation-models/ spice-models/ltspicegettingstartedguide.pdf?modelType= spice-models.
  • LinearTechnology, 2020 Ltspice xvii software,2020. https: //www.analog.com/en/design-center/design-tools-and-calculators/ ltspice-simulator.html.
  • Mustafa Mamat, M. S.W. and D. S. Maulana, 2013 Numerical simulation chaotic synchronization of chua circuit and its application for secure communication. Applied Mathematical Sciences 7: 1–10.
  • Ogorzalek, M. J., 1993 Taming chaos. i. synchronization. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 40: 693–699.
  • Shuh-Chuan Tsay, D.-L. Q., Chuan-Kuei Huang and W.-T. Chen, 2004 Implementation of bidirectional chaotic communication systems based on lorenz circuits. Chaos, Solitons and Fractals 20: 567–579.
  • Shuh-Chuan Tsay, W.-T. C., Chuan–Kuei Huang and Y.-R. Wu, 2005 Synchronization of chua chaotic circuits with application to the bidirectional secure communication systems. International Journal of Bifurcation and Chaos 15: 605–616.
  • Trejo-Guerra, T.-C. E. C.-H. C., R. and C. Sanchez-Lopez, 2009 Highly secured chaos-based communication system using cascaded masking technique and adaptive synchronization. International Journal of Bifurcation and Chaos 19: 4217–4226.
  • V.V.Astakhov, A. G., A.V.Shabunin and V.S.Anishchenko, 1997 Nonlinear dynamics of two chua’s circuits coupled through a capacitance. Journal of Communications Technology and Electronics 42: 294–301.
  • Wu, C. and L. Chua, 1993 A simple way to synchronize chaotic systems with applications to secure communication systems. Int. J. Bifurc.,Chaos 3: 1619–1627.
  • Yao, Z., Y. Y. Jun Ma, and C. Wang, 2019 Synchronization realization between two non-linear circuits via an induction coil coupling. Nonlinear Dyn. 96: 205–217.
  • Zhang, J. and X.-Y. Wang, 2023 Synchronous control study of chua circuit system via capacitor closed loop coupling. https://arxiv. org/pdf/2304.04568.pdf.
  • Zhilong Liu, G. Z., Jun Ma and Y. Zhang, 2019 Synchronization control between two chua’s circuits via capacitive coupling. Applied Mathematics and Computation 360: 94–106.
  • Zhong, G.-Q. and F. Ayrom, 1985 Periodicity and Chaos in Chua’s Circuit . IEEE Transations on Circuits and Systems 32: 501–503.
Year 2023, Volume: 5 Issue: 3, 167 - 177, 30.11.2023
https://doi.org/10.51537/chaos.1316437

Abstract

References

  • Adel Ouannas, G. G. V.-T. P., Abdulrahman Karouma and V. S. Luong, 2021 A novel secure communications scheme based on chaotic modulation, recursive encryption and chaotic masking. Alexandria Engineering Journal 60: 1873–1884.
  • Bonny T., N. W., V. S., and S. A., 2023 Highly secured chaos-based communication system using cascaded masking technique and adaptive synchronization. Multimedia Tools and Applications 82: 1–30.
  • Chua, L. O., 1992 The genesis of Chua’s circuit. Archiv fur Elektronik und Ubertragungstechnik 46: 250–257.
  • Cuomo, K. and A. Oppenheim, 1993 Circuit implementation of synchronized chaos with applications to communications. Phys. Rev. Lett. 71: 65–68.
  • Emiliia Nazarenko, S. G. S. N. M. F. F. T. A., Nikolaos Athanasios Anagnostopoulos and S. Katzenbeisser, 2023 Real-world chaos based cryptography using synchronized chua chaotic circuits. https://arxiv.org/pdf/2210.11299.pdf.
  • H.Dedieu, M. and M.Hasler, 1993 Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing chua’s circuits. IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing 40: 634–642.
  • I.P. Marino, E. R. J. and C. Grebogi, 1999 Signal dropout reconstruction in communication with chaos. Int. J. Bifurc.,Chaos 9: 2291–2293.
  • Kennedy, M. P., 1992 Robust op-amp realization of chua’s circuit. Frequenz 46.
  • K.M. Cuomo, A. O. and S. Strogatz, 1993 Synchronization of lorenzbased chaotic circuits with applications to communications. IEEE Trans. Circuits Syst. 40: 626–633.
  • Koh, C. L. and T. Ushio, 1997 Digital communication method based on m-synchronized chaotic systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 44: 383–390.
  • L. Kocarev, K. E. L. C., K.S. Halle and U. Parlitz, 1992 Experimental demonstration of secure communications via chaotic synchronization. Int. J.Bifurc. Chaos 2: 709–713.
  • Leon O.Chua, K. E., Ljupco Kocarev and M. Itoh, 1992 Experimental synchronization in chua’s circuit. International Journal of Bifurcation and Chaos 2: 705–708.
  • Liao Xiao-Xin LUE Hai-Geng, Z. X.-J., JIAN Ji-Gui and XUBing-Ji, 2005 New results on global synchronization of chua’s circuit. Acta Automatica Sinica. 31.
  • LinearTechnology, 2011 Ltspice iv getting started guide,linear technology, 2011. https://www.analog.com/media/en/simulation-models/ spice-models/ltspicegettingstartedguide.pdf?modelType= spice-models.
  • LinearTechnology, 2020 Ltspice xvii software,2020. https: //www.analog.com/en/design-center/design-tools-and-calculators/ ltspice-simulator.html.
  • Mustafa Mamat, M. S.W. and D. S. Maulana, 2013 Numerical simulation chaotic synchronization of chua circuit and its application for secure communication. Applied Mathematical Sciences 7: 1–10.
  • Ogorzalek, M. J., 1993 Taming chaos. i. synchronization. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 40: 693–699.
  • Shuh-Chuan Tsay, D.-L. Q., Chuan-Kuei Huang and W.-T. Chen, 2004 Implementation of bidirectional chaotic communication systems based on lorenz circuits. Chaos, Solitons and Fractals 20: 567–579.
  • Shuh-Chuan Tsay, W.-T. C., Chuan–Kuei Huang and Y.-R. Wu, 2005 Synchronization of chua chaotic circuits with application to the bidirectional secure communication systems. International Journal of Bifurcation and Chaos 15: 605–616.
  • Trejo-Guerra, T.-C. E. C.-H. C., R. and C. Sanchez-Lopez, 2009 Highly secured chaos-based communication system using cascaded masking technique and adaptive synchronization. International Journal of Bifurcation and Chaos 19: 4217–4226.
  • V.V.Astakhov, A. G., A.V.Shabunin and V.S.Anishchenko, 1997 Nonlinear dynamics of two chua’s circuits coupled through a capacitance. Journal of Communications Technology and Electronics 42: 294–301.
  • Wu, C. and L. Chua, 1993 A simple way to synchronize chaotic systems with applications to secure communication systems. Int. J. Bifurc.,Chaos 3: 1619–1627.
  • Yao, Z., Y. Y. Jun Ma, and C. Wang, 2019 Synchronization realization between two non-linear circuits via an induction coil coupling. Nonlinear Dyn. 96: 205–217.
  • Zhang, J. and X.-Y. Wang, 2023 Synchronous control study of chua circuit system via capacitor closed loop coupling. https://arxiv. org/pdf/2304.04568.pdf.
  • Zhilong Liu, G. Z., Jun Ma and Y. Zhang, 2019 Synchronization control between two chua’s circuits via capacitive coupling. Applied Mathematics and Computation 360: 94–106.
  • Zhong, G.-Q. and F. Ayrom, 1985 Periodicity and Chaos in Chua’s Circuit . IEEE Transations on Circuits and Systems 32: 501–503.
There are 26 citations in total.

Details

Primary Language English
Subjects Information Security and Cryptology
Journal Section Research Articles
Authors

Satya Prakash V 0000-0002-8671-2660

Narender Reddy S This is me 0000-0003-3977-1964

Sadanandachary A This is me 0000-0003-3308-7010

Publication Date November 30, 2023
Published in Issue Year 2023 Volume: 5 Issue: 3

Cite

APA V, S. P., S, N. R., & A, S. (2023). A Secure Communication System of Synchronized Chua’s Circuits in LC Parallel Coupling. Chaos Theory and Applications, 5(3), 167-177. https://doi.org/10.51537/chaos.1316437

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

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