Year 2023,
Volume: 5 Issue: 3, 160 - 166, 30.11.2023
Manal Messadi
Karim Kemih
,
Hamid Hamiche
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
Manal Messadi
Karim Kemih
,
Hamid Hamiche
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.