Abstract
To enrich the processing means of secure communication, a novel synchronization control method is proposed based on parameter estimation technology. Unlike the traditional synchronization method, it does not need the control law and is only implemented by the parameter estimation. To realize the synchronization between two chaotic maps, a hybrid algorithm combining the JAYA algorithm with an improved particle swarm optimization (IPSO) algorithm is proposed for parameter estimation. Because there is no mathematical reasoning process, the novel method’s realization is simple, and it can theoretically be utilized for synchronization of various chaotic maps. In addition, the synchronization with unknown master system structure is also studied. Numerical simulations are carried out in two classical chaotic maps and their fractional-order form. Detailed experimental results demonstrate the effectiveness of the novel synchronization control method.
Similar content being viewed by others
References
L. Pecora, T. Carroll, Phys. Rev. Lett. 64, 821 (1990)
T. Carroll, L. Pecora, IEEE T. Circuits Syst. 38, 453 (1991)
L. Kocarev, S.G. Lian, Chaos-Based Cryptography: Theory, Algorithms and Applications (Springer, Berlin Heidelberg Press, Germany, 2011)
E. Mahmoud, Euro. Phys. J. Plus 132, 466 (2017)
C. Li, D. Lin, J. Lü et al., IEEE T. Multi. 25, 46 (2018)
M. Feki, Chaos Solitons Fractals 18, 141 (2003)
H. He, J. Tu, P. Xiong, J. Frankl. I. 348, 2257 (2011)
A. Al-Khedhairi, S. Askar, A. Matouk et al., Complexity 6719341 (2018)
H. Li, J. Cao, H. Jiang et al., Neurocomputing 320, 69 (2018)
K. Rajagopal, L. Guessas, A. Karthikeyan et al., Complexity 1892618 (2017)
B. Vaseghi, M. Pourmina, S. Mobayen, Nonlinear Dyn. 89, 1689 (2017)
S. Mobayen, ISA T. 77, 100 (2018)
B. Naderi, H. Kheiri, Optik 127, 2407 (2016)
W. Wang, X. Jia, X. Luo et al., Chaos Solitons Fractals 126, 85 (2019)
J. Liu, S. Liu, Appl. Math. Model. 48, 440 (2017)
S. He, K. Sun, H. Wang, Commun. Nonlinear Sci. 73, 146 (2019)
K. Rajagopal, A. Durdu, S. Jafari et al., Int. J. Nonlinear Mech. 116, 262 (2019)
V. Huynh, A. Ouannas, X. Wang et al., Entropy 21, 279 (2019)
A. Ouannas, A. Azar, R. Abu-Saris, Int. J. Mach. Learn. Cyb. 8, 1887 (2017)
A. Ouannas, A.-A. Khennaoui, G. Grassi et al., J. Comput. Appl. Math. 358, 293 (2019)
G. Wu, Z. Deng, D. Baleanu et al., Chaos 29, 083103 (2019)
M. Edelman, Chaos 28, 023112 (2018)
Y. Mao, G. Chen, Chaos-Based Image Encryption (Springer, Berlin, 2005)
H. Peng, L. Li, Y. Yang et al., Phys. Rev. E 81, 016207 (2010)
S. Zheng, J. Wang, S. Zhou et al., Chaos 24, 013133 (2014)
J. Lazzús, M. Rivera, C. López-Caraballo, Phys. Lett. A 380, 1164 (2016)
Y. Peng, K. Sun, S. He et al., Euro. Phys. J. Plus 133, 305 (2018)
Y. Peng, K. Sun, S. He et al., Mod. Phys. Lett. B 33, 1950041 (2019)
S. Xu, Y. Wang, X. Liu, Neural Comput. Appl. 30, 2607 (2018)
D. Yousri, A. AbdelAty, L. Said et al., Nonlinear Dyn. 95, 2491 (2019)
W. Du, Q. Miao, L. Tong et al., Phys. Lett. A 381, 1943 (2017)
Y. Peng, K. Sun, S. He et al., Entropy 21, 27 (2019)
F. Chen, Z. Ding, Z. Lu et al., Nonlinear Dyn. 94, 2307 (2018)
R. Rao, Int. J. Ind. Eng. Comput. 7, 19 (2016)
K. Yu, J. Liang, B. Qu et al., Energ. Convers. Manag. 150, 742 (2017)
D. Wang, D. Tan, L. Liu, Soft Comput. 22, 387 (2018)
R. May, Nature 261, 459 (1976)
A. Deshpande, V. Daftardar-Gejji, Pramana 87, 49 (2016)
A. Adeli, A. Broumandnia, Appl. Intell. 48, 1609 (2018)
V. Haiji, C. Monje, Appl. Soft Comput. 58, 256 (2017)
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant Nos. 61161006, 61573383 and 61901530), the Key Innovation Project of Graduate of Central South University (Grant No. 2018ZZTS009), the China Postdoctoral Science Foundation (No.2019M652791) and the Postdoctoral Innovative Talents Support Program (No. BX20180386).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Peng, Y., Sun, K. & He, S. Synchronization for the integer-order and fractional-order chaotic maps based on parameter estimation with JAYA-IPSO algorithm. Eur. Phys. J. Plus 135, 331 (2020). https://doi.org/10.1140/epjp/s13360-020-00340-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-020-00340-9