Application adaptive exponential synchronization of chaotic dynamical systems in secure communications
Synchronization of chaotic systems which is defined based on the exponential stability for encrypts of signals is presented in this paper. An adaptive control scheme is proposed, and the convergence of the synchronized error is guaranteed. Masking and modulation methods are applied for encryption. T...
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| Published in | Advances in difference equations Vol. 2017; no. 1; pp. 1 - 21 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
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Springer International Publishing
29.03.2017
Springer Nature B.V SpringerOpen |
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| ISSN | 1687-1847 1687-1839 1687-1847 |
| DOI | 10.1186/s13662-017-1158-6 |
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| Abstract | Synchronization of chaotic systems which is defined based on the exponential stability for encrypts of signals is presented in this paper. An adaptive control scheme is proposed, and the convergence of the synchronized error is guaranteed. Masking and modulation methods are applied for encryption. To verify the effectiveness of the proposed schemes, numerical simulation was applied on a well-known system without linear term chaotic using MatLab software. The comparison of the proposed chaotic synchronization in the case of the synchronization rate and in the decryption precision of sent signal and image are shown. |
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| AbstractList | Synchronization of chaotic systems which is defined based on the exponential stability for encrypts of signals is presented in this paper. An adaptive control scheme is proposed, and the convergence of the synchronized error is guaranteed. Masking and modulation methods are applied for encryption. To verify the effectiveness of the proposed schemes, numerical simulation was applied on a well-known system without linear term chaotic using MatLab software. The comparison of the proposed chaotic synchronization in the case of the synchronization rate and in the decryption precision of sent signal and image are shown. Abstract Synchronization of chaotic systems which is defined based on the exponential stability for encrypts of signals is presented in this paper. An adaptive control scheme is proposed, and the convergence of the synchronized error is guaranteed. Masking and modulation methods are applied for encryption. To verify the effectiveness of the proposed schemes, numerical simulation was applied on a well-known system without linear term chaotic using MatLab software. The comparison of the proposed chaotic synchronization in the case of the synchronization rate and in the decryption precision of sent signal and image are shown. |
| ArticleNumber | 96 |
| Author | Maheri, Mahmoud Md Arifin, Norihan |
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| References | Xu, Wang (CR32) 2014; 125 Tong, Zhang, Zhou, Zhou, Xu (CR21) 2016; 14 Vicente, Daudén, Colet, Toral (CR10) 2005; 41 Shankar, Bodson (CR30) 2011 Tong, Zhou, Zhou, Yang, Zhang, Xu (CR22) 2015; 29 Agiza, Yassen (CR13) 2001; 278 Yang (CR17) 2013; 219 Yan, Yu (CR23) 2007; 17 Khalil (CR29) 2002 Yu, Lu, Leung, Chen (CR4) 2005; 52 Liao, Yu (CR18) 2006; 16 Mata-Machuca, Martínez-Guerra, Aguilar-López, Aguilar-Ibañez (CR33) 2012; 17 Aghababa, Aghababa (CR15) 2012; 67 Wang (CR19) 2009; 14 Cuomo, Oppenheim, Strogatz (CR24) 1993; 40 Ott, Grebogi, Yorke (CR2) 1990; 64 Peng, Ding, Ding, Yang (CR9) 1996; 76 Tong, Zhu, Zhou, Xu, Fang (CR20) 2013; 117 Pecora, Carroll (CR3) 1990; 64 Stevens, Lewis, Johnson (CR26) 2015 Teschl (CR27) 2012 Kapitaniak, Chua, Zhong (CR8) 1994; 41 Aghababa (CR14) 2012; 17 Mossa Al-Sawalha, Salmi Md Noorani (CR16) 2009; 14 Narendra, Annaswamy (CR28) 2012 Park (CR12) 2005; 25 Posadas-Castillo, López-Gutiérrez, Cruz-Hernández (CR11) 2008; 13 Grassi, Mascolo (CR6) 1999; 9 Lorenz (CR1) 1963; 20 Hsieh, Hwang, Wang, Li (CR7) 1999; 72 Yu, Wang (CR5) 2014; 125 Aghababa, Khanmohammadi, Alizadeh (CR31) 2011; 35 Boutayeb, Darouach, Rafaralahy (CR25) 2002; 49 Z Wang (1158_CR19) 2009; 14 G Grassi (1158_CR6) 1999; 9 KM Cuomo (1158_CR24) 1993; 40 EN Lorenz (1158_CR1) 1963; 20 M Mossa Al-Sawalha (1158_CR16) 2009; 14 KS Narendra (1158_CR28) 2012 F Yu (1158_CR5) 2014; 125 T Kapitaniak (1158_CR8) 1994; 41 M Boutayeb (1158_CR25) 2002; 49 MP Aghababa (1158_CR15) 2012; 67 MP Aghababa (1158_CR14) 2012; 17 Y Xu (1158_CR32) 2014; 125 Z Yan (1158_CR23) 2007; 17 BL Stevens (1158_CR26) 2015 C-C Yang (1158_CR17) 2013; 219 R Vicente (1158_CR10) 2005; 41 S Yu (1158_CR4) 2005; 52 HN Agiza (1158_CR13) 2001; 278 X Liao (1158_CR18) 2006; 16 JH Park (1158_CR12) 2005; 25 G Teschl (1158_CR27) 2012 D Tong (1158_CR20) 2013; 117 J-Y Hsieh (1158_CR7) 1999; 72 S Shankar (1158_CR30) 2011 JH Peng (1158_CR9) 1996; 76 LM Pecora (1158_CR3) 1990; 64 E Ott (1158_CR2) 1990; 64 JL Mata-Machuca (1158_CR33) 2012; 17 D Tong (1158_CR21) 2016; 14 HK Khalil (1158_CR29) 2002 D Tong (1158_CR22) 2015; 29 MP Aghababa (1158_CR31) 2011; 35 C Posadas-Castillo (1158_CR11) 2008; 13 |
| References_xml | – volume: 41 start-page: 541 issue: 4 year: 2005 end-page: 548 ident: CR10 article-title: Analysis and characterization of the hyperchaos generated by a semiconductor laser subject to a delayed feedback loop publication-title: IEEE J. Quantum Electron. doi: 10.1109/JQE.2005.843606 – volume: 13 start-page: 1655 issue: 8 year: 2008 end-page: 1667 ident: CR11 article-title: Synchronization of chaotic solid-state Nd:YAG lasers: application to secure communication publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2007.02.005 – volume: 67 start-page: 2689 issue: 4 year: 2012 end-page: 2701 ident: CR15 article-title: Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties publication-title: Nonlinear Dyn. doi: 10.1007/s11071-011-0181-5 – volume: 35 start-page: 3080 issue: 6 year: 2011 end-page: 3091 ident: CR31 article-title: Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2010.12.020 – volume: 29 start-page: 359 issue: 1 year: 2015 end-page: 371 ident: CR22 article-title: Exponential synchronization for stochastic neural networks with multi-delayed and Markovian switching via adaptive feedback control publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2015.05.011 – volume: 14 start-page: 2366 issue: 5 year: 2009 end-page: 2372 ident: CR19 article-title: Anti-synchronization in two non-identical hyperchaotic systems with known or unknown parameters publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2008.06.027 – volume: 64 start-page: 821 issue: 8 year: 1990 ident: CR3 article-title: Synchronization in chaotic systems publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.64.821 – year: 2015 ident: CR26 publication-title: Aircraft Control and Simulation: Dynamics, Controls Design, and Autonomous Systems doi: 10.1002/9781119174882 – volume: 76 start-page: 904 issue: 6 year: 1996 ident: CR9 article-title: Synchronizing hyperchaos with a scalar transmitted signal publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.76.904 – volume: 52 start-page: 1459 issue: 7 year: 2005 end-page: 1476 ident: CR4 article-title: Design and implementation of n-scroll chaotic attractors from a general jerk circuit publication-title: IEEE Trans. Circuits Syst. I, Regul. Pap. doi: 10.1109/TCSI.2005.851717 – volume: 9 start-page: 705 issue: 4 year: 1999 end-page: 711 ident: CR6 article-title: Synchronizing high dimensional chaotic systems via eigenvalue placement with application to cellular neural networks publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127499000493 – volume: 278 start-page: 191 issue: 4 year: 2001 end-page: 197 ident: CR13 article-title: Synchronization of Rossler and Chen chaotic dynamical systems using active control publication-title: Phys. Lett. A doi: 10.1016/S0375-9601(00)00777-5 – volume: 125 start-page: 2526 issue: 11 year: 2014 end-page: 2530 ident: CR32 article-title: A new chaotic system without linear term and its impulsive synchronization publication-title: Optik doi: 10.1016/j.ijleo.2013.10.123 – volume: 117 start-page: 91 year: 2013 end-page: 97 ident: CR20 article-title: Adaptive synchronization for stochastic T-S fuzzy neural networks with time-delay and Markovian jumping parameters publication-title: Neurocomputing doi: 10.1016/j.neucom.2013.01.028 – volume: 25 start-page: 579 issue: 3 year: 2005 end-page: 584 ident: CR12 article-title: Chaos synchronization of a chaotic system via nonlinear control publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2004.11.038 – volume: 14 start-page: 3402 issue: 8 year: 2009 end-page: 3411 ident: CR16 article-title: Anti-synchronization of two hyperchaotic systems via nonlinear control publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2008.12.021 – year: 2002 ident: CR29 publication-title: Nonlinear Systems – year: 2011 ident: CR30 publication-title: Adaptive Control: Stability, Convergence and Robustness – volume: 72 start-page: 882 issue: 10 year: 1999 end-page: 886 ident: CR7 article-title: Controlling hyperchaos of the Rossler system publication-title: Int. J. Control doi: 10.1080/002071799220614 – volume: 17 start-page: 2670 issue: 6 year: 2012 end-page: 2681 ident: CR14 article-title: Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2011.10.028 – volume: 20 start-page: 130 issue: 2 year: 1963 end-page: 141 ident: CR1 article-title: Deterministic nonperiodic flow publication-title: J. Atmos. Sci. doi: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 – volume: 41 start-page: 499 issue: 7 year: 1994 end-page: 503 ident: CR8 article-title: Experimental hyperchaos in coupled Chua’s circuits publication-title: IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. doi: 10.1109/81.298367 – volume: 40 start-page: 626 issue: 10 year: 1993 end-page: 633 ident: CR24 article-title: Synchronization of Lorenz-based chaotic circuits with applications to communications publication-title: IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process. doi: 10.1109/82.246163 – volume: 219 start-page: 5152 issue: 10 year: 2013 end-page: 5161 ident: CR17 article-title: One input control of exponential synchronization for a four-dimensional chaotic system publication-title: Appl. Math. Comput. – volume: 64 start-page: 1196 issue: 11 year: 1990 ident: CR2 article-title: Controlling chaos publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.64.1196 – volume: 125 start-page: 5920 issue: 20 year: 2014 end-page: 5925 ident: CR5 article-title: Secure communication based on a four-wing chaotic system subject to disturbance inputs publication-title: Optik doi: 10.1016/j.ijleo.2014.08.001 – volume: 49 start-page: 345 issue: 3 year: 2002 end-page: 349 ident: CR25 article-title: Generalized state-space observers for chaotic synchronization and secure communication publication-title: IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. doi: 10.1109/81.989169 – year: 2012 ident: CR28 publication-title: Stable Adaptive Systems – volume: 17 start-page: 1706 issue: 4 year: 2012 end-page: 1713 ident: CR33 article-title: A chaotic system in synchronization and secure communications publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2011.08.026 – volume: 16 start-page: 2395 issue: 8 year: 2006 end-page: 2406 ident: CR18 article-title: Study of globally exponential synchronization for the family of Rössler systems publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127406016148 – volume: 17 start-page: 1759 issue: 5 year: 2007 end-page: 1774 ident: CR23 article-title: Globally exponential hyperchaos (lag) synchronization in a family of modified hyperchaotic Rössler systems publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127407018063 – year: 2012 ident: CR27 publication-title: Ordinary Differential Equations and Dynamical Systems – volume: 14 start-page: 706 issue: 3 year: 2016 end-page: 712 ident: CR21 article-title: Asymptotical synchronization for delayed stochastic neural networks with uncertainty via adaptive control publication-title: Int. J. Control. Autom. Syst. doi: 10.1007/s12555-015-0077-0 – volume: 117 start-page: 91 year: 2013 ident: 1158_CR20 publication-title: Neurocomputing doi: 10.1016/j.neucom.2013.01.028 – volume: 25 start-page: 579 issue: 3 year: 2005 ident: 1158_CR12 publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2004.11.038 – volume: 41 start-page: 499 issue: 7 year: 1994 ident: 1158_CR8 publication-title: IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. doi: 10.1109/81.298367 – volume: 13 start-page: 1655 issue: 8 year: 2008 ident: 1158_CR11 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2007.02.005 – volume-title: Stable Adaptive Systems year: 2012 ident: 1158_CR28 – volume: 16 start-page: 2395 issue: 8 year: 2006 ident: 1158_CR18 publication-title: Int. J. Bifurc. 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Model. doi: 10.1016/j.apm.2010.12.020 – volume: 17 start-page: 2670 issue: 6 year: 2012 ident: 1158_CR14 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2011.10.028 – volume: 67 start-page: 2689 issue: 4 year: 2012 ident: 1158_CR15 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-011-0181-5 – volume: 29 start-page: 359 issue: 1 year: 2015 ident: 1158_CR22 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2015.05.011 – volume: 125 start-page: 2526 issue: 11 year: 2014 ident: 1158_CR32 publication-title: Optik doi: 10.1016/j.ijleo.2013.10.123 – volume: 49 start-page: 345 issue: 3 year: 2002 ident: 1158_CR25 publication-title: IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. doi: 10.1109/81.989169 – volume-title: Nonlinear Systems year: 2002 ident: 1158_CR29 – volume: 14 start-page: 3402 issue: 8 year: 2009 ident: 1158_CR16 publication-title: Commun. Nonlinear Sci. Numer. 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| Snippet | Synchronization of chaotic systems which is defined based on the exponential stability for encrypts of signals is presented in this paper. An adaptive control... Abstract Synchronization of chaotic systems which is defined based on the exponential stability for encrypts of signals is presented in this paper. An adaptive... |
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| SubjectTerms | Analysis chaos Chaos theory Computer programs Difference and Functional Equations Dynamical systems Encryption exponential Functional Analysis Masking Mathematics Mathematics and Statistics Matlab Ordinary Differential Equations Partial Differential Equations stability Synchronism Synchronization |
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| Title | Application adaptive exponential synchronization of chaotic dynamical systems in secure communications |
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