Research Article
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Year 2023, Volume: 5 Issue: 3, 160 - 166, 30.11.2023
https://doi.org/10.51537/chaos.1276714

Abstract

References

  • Abdelouahab, M.-S. and N.-E. Hamri, 2012 A new chaotic attractor from hybrid optical bistable system. Nonlinear Dynamics 67: 457 – 463.
  • Bao, B., Z. Ma, J. Xu, Z. Liu, and Q. Xu, 2011 A simple memristor chaotic circuit with complex dynamics. International Journal of Bifurcation and Chaos 21: 2629 – 2645.
  • Bouhous, A. and K. Kemih, 2018 Novel encryption method based on optical time-delay chaotic system and a wavelet for data transmission. Optics and Laser Technology 108: 162 – 169.
  • Boukabou, A., A. Chebbah, and N. Mansouri, 2008 Predictive control of continuous chaotic systems. International Journal of Bifurcation and Chaos 18: 587 – 592.
  • Bouraoui, H. and K. Kemih, 2013 Observer-based synchronization of a new hybrid chaotic system and its application to secure communications. Acta Physica Polonica A 123: 259 – 262.
  • Chang, W.-D., S.-P. Shih, and C.-Y. Chen, 2015 Chaotic secure communication systems with an adaptive state observer. Journal of Control Science and Engineering 2015.
  • Halimi, M., K. Kemih, and M. Ghanes, 2014 Circuit simulation of an analog secure communication based on synchronized chaotic chua’s system. Applied Mathematics and Information Sciences 8: 1509 – 1516.
  • Hamiche, H., K. Kemih, M. Ghanes, G. Zhang, and S. Djennoune, 2011 Passive and impulsive synchronization of a new fourdimensional chaotic system. Nonlinear Analysis, Theory, Methods and Applications 74: 1146 – 1154.
  • Hamiche, H., H. Takhi, M. Messadi, K. Kemih, O. Megherbi, et al., 2021 New synchronization results for a class of nonlinear discrete-time chaotic systems based on synergetic observer and their implementation. Mathematics and Computers in Simulation 185: 194 – 217.
  • Hashemi, S., M. A. Pourmina, S. Mobayen, and M. R. Alagheband, 2020 Design of a secure communication system between base transmitter station and mobile equipment based on finite-time chaos synchronisation. International Journal of Systems Science 51: 1969 – 1986.
  • Kemih, K., Y. Bennane, H. Bouraoui, and M. Ghanes, 2014a Synchronization of chaotic satellites systems. Nonlinear Phenomena in Complex Systems 17: 203 – 206.
  • Kemih, K., M. Benslama, S. Filali,W.-Y. Liu, and H. Baudrand, 2007 Synchronization of chen system based on passivity technique for cdma underwater communication. International Journal of Innovative Computing, Information and Control 3: 1301 – 1308.
  • Kemih, K., M. Halimi, M. Ghanes, H. Fanit, and H. Salit, 2014b Control and synchronization of chaotic attitude control of satellite with backstepping controller. European Physical Journal: Special Topics 223: 1579 – 1589.
  • Kemih, K., M. Halimi, M. Ghanes, and G. Zhang, 2011 An application of chaotic chua’s system for secure chaotic communication based on sliding mode observer. AIP Conference Proceedings 1400: 344 – 349.
  • Liao, T.-L., H.-C. Chen, C.-Y. Peng, and Y.-Y. Hou, 2021 Chaosbased secure communications in biomedical information application. Electronics (Switzerland) 10: 1 – 19.
  • Liu, J., Y. Ma, S. Li, J. Lian, and X. Zhang, 2018 A new simple chaotic system and its application in medical image encryption. Multimedia Tools and Applications 77: 22787 – 22808.
  • Messadi, M. and A. Mellit, 2017 Control of chaos in an induction motor system with lmi predictive control and experimental circuit validation. Chaos, Solitons and Fractals 97: 51 – 58.
  • Messadi, M., A. Mellit, K. Kemih, and M. Ghanes, 2015 Predictive control of a chaotic permanent magnet synchronous generator in a wind turbine system. Chinese Physics B 24.
  • Mohadeszadeh, M. and N. Pariz, 2022 An application of adaptive synchronization of uncertain chaotic system in secure communication systems. International Journal of Modelling and Simulation 42: 143 – 152.
  • Nestor, T., A. Belazi, B. Abd-El-atty, M. N. Aslam, C. Volos, et al., 2022 A new 4d hyperchaotic system with dynamics analysis, synchronization, and application to image encryption. Symmetry 14.
  • Pecora, L. M. and T. L. Carroll, 1990 Synchronization in chaotic systems. Physical Review Letters 64: 821 – 824.
  • Ramakrishnan, B., V. K. Tamba, J. Metsebo, D. Tokoue Ngatcha, and K. Rajagopal, 2023 Control, synchronisation and antisynchronisation of chaos in two non-identical josephson junction models via sliding mode control and its fpga implementation. Pramana - Journal of Physics 97.
  • Roldán-Caballero, A., J. H. Pérez-Cruz, E. Hernández-Márquez, J. R. García-Sánchez, M. Ponce-Silva, et al., 2023 Synchronization of a new chaotic system using adaptive control: Design and experimental implementation. Complexity 2023.
  • Takhi, H., K. Kemih, L. Moysis, and C. Volos, 2021 Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system. Mathematics and Computers in Simulation 181: 150 – 169.
  • Tutueva, A. V., L. Moysis, V. G. Rybin, E. E. Kopets, C. Volos, et al., 2022 Fast synchronization of symmetric hénon maps using adaptive symmetry control. Chaos, Solitons and Fractals 155.
  • Wang, X. F. and Z. Q.Wang, 2003 A robust demodulation approach to communications using chaotic signals. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13: 227 – 231.
  • Yu,W., 1999 Passive equivalence of chaos in lorenz system. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 46: 876 – 878.
  • Zouad, F., K. Kemih, and H. Hamiche, 2019 A new secure communication scheme using fractional order delayed chaotic system: design and electronics circuit simulation. Analog Integrated Circuits and Signal Processing 99: 619 – 632.

A New Secure Communications Scheme Based on a Synchronisation of Hybrid Chaotic System

Year 2023, Volume: 5 Issue: 3, 160 - 166, 30.11.2023
https://doi.org/10.51537/chaos.1276714

Abstract

This paper presents a novel approach for secure communication utilizing a chaotic hybrid optical bistable system and chaotic modulation. The proposed crypto system encrypts the message at the transmitter using the chaotic hybrid optical bistable system with decorrelation operation to improve the chaotic sequence's performance. The encoded message is then injected into the dynamics of the chaotic memristor system. At the receiver, the synchronization of the two chaotic systems with passive control and predictive control allows for the recovery of the message through chaotic demodulation. The effectiveness of this approach is demonstrated through numerical simulation using medical images.

References

  • Abdelouahab, M.-S. and N.-E. Hamri, 2012 A new chaotic attractor from hybrid optical bistable system. Nonlinear Dynamics 67: 457 – 463.
  • Bao, B., Z. Ma, J. Xu, Z. Liu, and Q. Xu, 2011 A simple memristor chaotic circuit with complex dynamics. International Journal of Bifurcation and Chaos 21: 2629 – 2645.
  • Bouhous, A. and K. Kemih, 2018 Novel encryption method based on optical time-delay chaotic system and a wavelet for data transmission. Optics and Laser Technology 108: 162 – 169.
  • Boukabou, A., A. Chebbah, and N. Mansouri, 2008 Predictive control of continuous chaotic systems. International Journal of Bifurcation and Chaos 18: 587 – 592.
  • Bouraoui, H. and K. Kemih, 2013 Observer-based synchronization of a new hybrid chaotic system and its application to secure communications. Acta Physica Polonica A 123: 259 – 262.
  • Chang, W.-D., S.-P. Shih, and C.-Y. Chen, 2015 Chaotic secure communication systems with an adaptive state observer. Journal of Control Science and Engineering 2015.
  • Halimi, M., K. Kemih, and M. Ghanes, 2014 Circuit simulation of an analog secure communication based on synchronized chaotic chua’s system. Applied Mathematics and Information Sciences 8: 1509 – 1516.
  • Hamiche, H., K. Kemih, M. Ghanes, G. Zhang, and S. Djennoune, 2011 Passive and impulsive synchronization of a new fourdimensional chaotic system. Nonlinear Analysis, Theory, Methods and Applications 74: 1146 – 1154.
  • Hamiche, H., H. Takhi, M. Messadi, K. Kemih, O. Megherbi, et al., 2021 New synchronization results for a class of nonlinear discrete-time chaotic systems based on synergetic observer and their implementation. Mathematics and Computers in Simulation 185: 194 – 217.
  • Hashemi, S., M. A. Pourmina, S. Mobayen, and M. R. Alagheband, 2020 Design of a secure communication system between base transmitter station and mobile equipment based on finite-time chaos synchronisation. International Journal of Systems Science 51: 1969 – 1986.
  • Kemih, K., Y. Bennane, H. Bouraoui, and M. Ghanes, 2014a Synchronization of chaotic satellites systems. Nonlinear Phenomena in Complex Systems 17: 203 – 206.
  • Kemih, K., M. Benslama, S. Filali,W.-Y. Liu, and H. Baudrand, 2007 Synchronization of chen system based on passivity technique for cdma underwater communication. International Journal of Innovative Computing, Information and Control 3: 1301 – 1308.
  • Kemih, K., M. Halimi, M. Ghanes, H. Fanit, and H. Salit, 2014b Control and synchronization of chaotic attitude control of satellite with backstepping controller. European Physical Journal: Special Topics 223: 1579 – 1589.
  • Kemih, K., M. Halimi, M. Ghanes, and G. Zhang, 2011 An application of chaotic chua’s system for secure chaotic communication based on sliding mode observer. AIP Conference Proceedings 1400: 344 – 349.
  • Liao, T.-L., H.-C. Chen, C.-Y. Peng, and Y.-Y. Hou, 2021 Chaosbased secure communications in biomedical information application. Electronics (Switzerland) 10: 1 – 19.
  • Liu, J., Y. Ma, S. Li, J. Lian, and X. Zhang, 2018 A new simple chaotic system and its application in medical image encryption. Multimedia Tools and Applications 77: 22787 – 22808.
  • Messadi, M. and A. Mellit, 2017 Control of chaos in an induction motor system with lmi predictive control and experimental circuit validation. Chaos, Solitons and Fractals 97: 51 – 58.
  • Messadi, M., A. Mellit, K. Kemih, and M. Ghanes, 2015 Predictive control of a chaotic permanent magnet synchronous generator in a wind turbine system. Chinese Physics B 24.
  • Mohadeszadeh, M. and N. Pariz, 2022 An application of adaptive synchronization of uncertain chaotic system in secure communication systems. International Journal of Modelling and Simulation 42: 143 – 152.
  • Nestor, T., A. Belazi, B. Abd-El-atty, M. N. Aslam, C. Volos, et al., 2022 A new 4d hyperchaotic system with dynamics analysis, synchronization, and application to image encryption. Symmetry 14.
  • Pecora, L. M. and T. L. Carroll, 1990 Synchronization in chaotic systems. Physical Review Letters 64: 821 – 824.
  • Ramakrishnan, B., V. K. Tamba, J. Metsebo, D. Tokoue Ngatcha, and K. Rajagopal, 2023 Control, synchronisation and antisynchronisation of chaos in two non-identical josephson junction models via sliding mode control and its fpga implementation. Pramana - Journal of Physics 97.
  • Roldán-Caballero, A., J. H. Pérez-Cruz, E. Hernández-Márquez, J. R. García-Sánchez, M. Ponce-Silva, et al., 2023 Synchronization of a new chaotic system using adaptive control: Design and experimental implementation. Complexity 2023.
  • Takhi, H., K. Kemih, L. Moysis, and C. Volos, 2021 Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system. Mathematics and Computers in Simulation 181: 150 – 169.
  • Tutueva, A. V., L. Moysis, V. G. Rybin, E. E. Kopets, C. Volos, et al., 2022 Fast synchronization of symmetric hénon maps using adaptive symmetry control. Chaos, Solitons and Fractals 155.
  • Wang, X. F. and Z. Q.Wang, 2003 A robust demodulation approach to communications using chaotic signals. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13: 227 – 231.
  • Yu,W., 1999 Passive equivalence of chaos in lorenz system. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 46: 876 – 878.
  • Zouad, F., K. Kemih, and H. Hamiche, 2019 A new secure communication scheme using fractional order delayed chaotic system: design and electronics circuit simulation. Analog Integrated Circuits and Signal Processing 99: 619 – 632.
There are 28 citations in total.

Details

Primary Language English
Subjects Automation Engineering
Journal Section Research Articles
Authors

Manal Messadi This is me 0009-0003-4259-6316

Karim Kemih 0000-0003-0866-5798

Hamid Hamiche 0000-0003-3012-658X

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

Cite

APA Messadi, M., Kemih, K., & Hamiche, H. (2023). A New Secure Communications Scheme Based on a Synchronisation of Hybrid Chaotic System. Chaos Theory and Applications, 5(3), 160-166. https://doi.org/10.51537/chaos.1276714

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

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