Secure communications based on the synchronization of the New Lorenz-like attractor circuit
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| collectionurl | https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 |
| date | 2015-07-27 10:32:30 |
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| internalnotes | [1] M. Sanjaya W.S., D. S Maulana, M. Mamat, and Z. Salleh, Nonlinear Dynamics of Chaotic Attractor of Chua Circuit and Its Application for Secure Communication, J. Oto. Ktrl. Inst (J. Auto. Ctrl. Inst), 3 (1), 2011, 1-16. [2] M. Sanjaya W. S, I. Mohd, M. Mamat and Z. Salleh, Mathematical Model of Three Species Food Chain Interaction with Mixed Functional Response. International Journal of Modern Physics: Conference Series, 9, 2012, 334–340. http://dx.doi.org/10.1142/s2010194512005399 [3] M. Sanjaya W. S, M. Mamat, Z. Salleh, and I. Mohd, Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model, Applied Mathemati cal Sciences, 5 (54), 2011, 2685 – 2695. [4] Ch. K. Volos, I. M. Kyprianidis, S. G. Stavrinides, I. N. Stouboulos, I. Magafas, and A. N. Anagnostopoulos, Nonlinear Dynamics of a Financial System from an Engineer’s point of View, Journal of Engineering Science and Technology Review, 4(3), 2011, 281 – 285. [5] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos, Fingerprint Images Encryption Process Based on a Chaotic True Bits Generator, International Journal of Multimedia Intelligence and Security, 1(4), 2010, 320 – 335. http://dx.doi.org/10.1504/ijmis.2010.039234 [6] J. C. Sprott., Dynamical models of love, Nonlinear Dyn. Psych. Life Sci., 8, 2004, 303–314. [7] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos, Α Chaotic Path Planning Generator for Autonomous Mobile Robots, Robotics and Autonomous Systems, 60, 2012, 651 – 656. http://dx.doi.org/10.1016/j.robot.2012.01.001 [8] A. Sambas., M. Sanjaya W.S. and Halimatussadiyah, Unidirectional Chaotic Synchronization of Rossler Circuit and Its Application for Secure Communication, WSEAS Transactions on Systems, 9(11), 2012, 506 – 515. [9] A. Sambas, M. Sanjaya W.S., M. Mamat and Halimatussadiyah, Design and Analysis Bidirectional Chaotic Synchronization of Rossler Circuit and its Application for Secure Communication. Applied Mathematical Sciences, 7(1), 2013, 11 – 21. [10] Aceng Sambas, Mada Sanjaya W. S., M. Mamat, N. V Karadimas and O. Tacha, Numerical Simulations in Jerk Circuit and It’s Application in a Secure Communication System. Recent Advances in Telecommunications and Circuit Design. WSEAS 17th International Conference on Communications Rhodes Island, Greece July 16-19, 2013, 190-196, ISBN: 978-960-474-310-0. [11] Aceng Sambas, Mada Sanjaya W. S., M. Mamat and O. Tacha., Design and Numerical Simulation of Unidirectional Chaotic Synchronization and Its Application in Secure Communication System. Recent Advances in Nonlinear Circuits: Theory and Applications. Journal of Engineering Science and Technology Review. 6(4), 2013 66-73. [12] L. M. Pecora and T. L. Carroll, Synchronization in Chaotic Systems, Physical Review Letters, 64, 1990, 821–825. http://dx.doi.org/10.1103/physrevlett.64.821 [13] A. S. Pikovski, On the Interaction of Strange Attractors, Z Phys B: Condens Matter, 55, 1984, 149 – 154. http://dx.doi.org/10.1007/bf01420567 [14] M. G. Rosenblum, A. S. Pikovski, and J. Kurths, Phase Synchronization of Chaotic Oscillators. Phys. Rev. Lett., 76, 1996, 1804 – 1807. http://dx.doi.org/10.1103/physrevlett.76.1804 [15] N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Generalized Synchronization of Chaos in Directionally Coupled Chaotic Systems, Phys. Rev. E., 51, 1995, 980 – 994. http://dx.doi.org/10.1103/physreve.51.980 [16] L. Y. Cao and Y. C. Lai, Antiphase Synchronism in Chaotic Systems, Phys. Rev. E, 58, 1998, 382 – 386. http://dx.doi.org/10.1103/physreve.58.382 [17] M. G. Rosenblum, A. S. Pikovski, and J. Kurths, From Phase to Lag Synchronization in Coupled Chaotic Oscillators, Phys. Rev. Lett., 78, 1997, 4193 – 4196. http://dx.doi.org/10.1103/physrevlett.78.4193 [18] H. U. Voss, Anticipating Chaotic Synchronization, Phys. Rev. E, 61, 2000, 5115 – 5119. http://dx.doi.org/10.1103/physreve.61.5115 [19] R. Mainieri and J. Rehacek, Projective Synchronization in Three Dimensional Chaotic Systems. Phys. Rev. Lett., 82, 1999, 3042 – 3045. http://dx.doi.org/10.1103/physrevlett.82.3042 [20] Ch.K. Volos, I.M. Kyprianidis, and I.N. Stouboulos, Various Synchroniza tion Phenomena in Bidirectionally Coupled Double Scroll Circuits, Commun. Nonlinear Sc. Numer. Simulat., 16, 2011, 3356 – 3366. http://dx.doi.org/10.1016/j.cnsns.2010.11.015 [21] I. Pehlivan and Y. Uyaroglu, Rikitake Attractor and It’s Synchronization Application for Secure Communication Systems. Journal of Applied Science, 7 (2), 2007, 232-236. http://dx.doi.org/10.3923/jas.2007.232.236 [22] F. Zhu, Observer-based synchronization of uncertain chaotic system and its application to secure communications. Chaos, Solitons and Fractals 40, 2009, 2384–2391. http://dx.doi.org/10.1016/j.chaos.2007.10.052 [23] Ch. K. Volos, Image Encryption Using the Coexistence of Chaotic Synchronization Phenomena, Journal of Applied Mathematics and Bioinformatics, 3(1), 2013, 123 – 149. [24] K. Nakajima and Y. Sawada, Experimental studies on the weak coupling of oscillatory chemical reaction systems. J. Chem. Phys. 72(4), 1980, 2231-2234. http://dx.doi.org/10.1063/1.439466 [25] M. Mamat, Z. Salleh, Mada Sanjaya W. S. and Ismail Mohd, Numerical Simulation Bidirectional Chaotic Synchronization FitzHugh-Nagumo Neuronal System. Applied Mathematical Sciences, 6 (38), 2012, 1863 – 1876. [26] I. M. Kyprianidis, V. Papachristou, I. N. Stouboulos and Ch. K. Volos, Dynamics of Coupled Chaotic Bonhoeffer – van der Pol Oscillators, WSEAS Trans. Systems, 11(9), 2012, 516 I – 526. [27] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos, Synchronization Phenomena in Coupled Nonlinear Systems Applied in Economic Cycles, WSEAS Trans. Systems, 11(12), 2012, 681 – 690. [28] X. F. Li, Y. D. Chu, J. G. Zhang and Y. X. Chang, Nonlinear dynamics and circuit implementation for a new Lorenz-like attractor. Chaos, Solitons and Fractals. 41, 2009, 2360–2370. http://dx.doi.org/10.1016/j.chaos.2008.09.011 [29] Q. H. Alsafasfeh and M. S. Al-Arni, A New Chaotic Behavior from Lorenz and Rossler Systems and Its Electronic Circuit Implementation. Circuits and Systems, 2, 2011, 101-105. http://dx.doi.org/10.4236/cs.2011.22015 [30] H. Situngkir and Y. Surya, Perception on Modified Poincaré Map of Financial Time Series Data, Applications of Physics in Financial Analysis 4 (APFA4) Europhysics Conference of European Physical Society, 2003, 1-10. [31] S. X. Wang, Simulation of Chaos Synchronization, Ph.D thesis, University of Western Ontario, London, 1998. [32] H. Zhang, Chaos Synchronization and Its Application to Secure Communication, PhD thesis, University of Waterloo, Canada, 2010. |
| originalfilename | 6496-01-FH02-FIK-15-03532.jpg |
| person | UniSZA Unisza unisza |
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| resourceurl | https://intelek.unisza.edu.my/intelek/pages/view.php?ref=12196 |
| spelling | 12196 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=12196 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Article Journal UniSZA Unisza unisza image/jpeg inches 96 96 1412 34 34 802 2015-07-27 10:32:30 1412x802 6496-01-FH02-FIK-15-03532.jpg UniSZA Private Access Secure communications based on the synchronization of the New Lorenz-like attractor circuit Advanced Studies in Theoretical Physics Synchronization of chaotic systems is important because it might be useful in some type of private communications. In this paper, the phenomenon of Chaos that produced in the case of autonomous New Lorenz-like attractor circuit, have been studied extensively. The initial study of this work also includes some of the most well-known tools of nonlinear dynamics, such as the Lyapunov exponents and the Poincaré map. Furthermore, the use of this type of chaotic circuit in the connection substitution synchronization method is presented in details. After conducting the analysis of the proposed synchronization scheme, the use of such an autonomous chaotic circuit as a signal modulation in secure communication systems, has been examined. Finally, numerical simulations by using MATLAB 380 Aceng Sambas et al. 2010, as well as implementation of circuit simulations by using MultiSIM 10.0, has been performed in this work. 9 8 HIKARI Ltd. HIKARI Ltd. 379-394 [1] M. Sanjaya W.S., D. S Maulana, M. Mamat, and Z. Salleh, Nonlinear Dynamics of Chaotic Attractor of Chua Circuit and Its Application for Secure Communication, J. Oto. Ktrl. Inst (J. Auto. Ctrl. Inst), 3 (1), 2011, 1-16. [2] M. Sanjaya W. S, I. Mohd, M. Mamat and Z. Salleh, Mathematical Model of Three Species Food Chain Interaction with Mixed Functional Response. International Journal of Modern Physics: Conference Series, 9, 2012, 334–340. http://dx.doi.org/10.1142/s2010194512005399 [3] M. Sanjaya W. S, M. Mamat, Z. Salleh, and I. Mohd, Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model, Applied Mathemati cal Sciences, 5 (54), 2011, 2685 – 2695. [4] Ch. K. Volos, I. M. Kyprianidis, S. G. Stavrinides, I. N. Stouboulos, I. Magafas, and A. N. Anagnostopoulos, Nonlinear Dynamics of a Financial System from an Engineer’s point of View, Journal of Engineering Science and Technology Review, 4(3), 2011, 281 – 285. [5] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos, Fingerprint Images Encryption Process Based on a Chaotic True Bits Generator, International Journal of Multimedia Intelligence and Security, 1(4), 2010, 320 – 335. http://dx.doi.org/10.1504/ijmis.2010.039234 [6] J. C. Sprott., Dynamical models of love, Nonlinear Dyn. Psych. Life Sci., 8, 2004, 303–314. [7] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos, Α Chaotic Path Planning Generator for Autonomous Mobile Robots, Robotics and Autonomous Systems, 60, 2012, 651 – 656. http://dx.doi.org/10.1016/j.robot.2012.01.001 [8] A. Sambas., M. Sanjaya W.S. and Halimatussadiyah, Unidirectional Chaotic Synchronization of Rossler Circuit and Its Application for Secure Communication, WSEAS Transactions on Systems, 9(11), 2012, 506 – 515. [9] A. Sambas, M. Sanjaya W.S., M. Mamat and Halimatussadiyah, Design and Analysis Bidirectional Chaotic Synchronization of Rossler Circuit and its Application for Secure Communication. Applied Mathematical Sciences, 7(1), 2013, 11 – 21. [10] Aceng Sambas, Mada Sanjaya W. S., M. Mamat, N. V Karadimas and O. Tacha, Numerical Simulations in Jerk Circuit and It’s Application in a Secure Communication System. Recent Advances in Telecommunications and Circuit Design. WSEAS 17th International Conference on Communications Rhodes Island, Greece July 16-19, 2013, 190-196, ISBN: 978-960-474-310-0. [11] Aceng Sambas, Mada Sanjaya W. S., M. Mamat and O. Tacha., Design and Numerical Simulation of Unidirectional Chaotic Synchronization and Its Application in Secure Communication System. Recent Advances in Nonlinear Circuits: Theory and Applications. Journal of Engineering Science and Technology Review. 6(4), 2013 66-73. [12] L. M. Pecora and T. L. Carroll, Synchronization in Chaotic Systems, Physical Review Letters, 64, 1990, 821–825. http://dx.doi.org/10.1103/physrevlett.64.821 [13] A. S. Pikovski, On the Interaction of Strange Attractors, Z Phys B: Condens Matter, 55, 1984, 149 – 154. http://dx.doi.org/10.1007/bf01420567 [14] M. G. Rosenblum, A. S. Pikovski, and J. Kurths, Phase Synchronization of Chaotic Oscillators. Phys. Rev. Lett., 76, 1996, 1804 – 1807. http://dx.doi.org/10.1103/physrevlett.76.1804 [15] N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Generalized Synchronization of Chaos in Directionally Coupled Chaotic Systems, Phys. Rev. E., 51, 1995, 980 – 994. http://dx.doi.org/10.1103/physreve.51.980 [16] L. Y. Cao and Y. C. Lai, Antiphase Synchronism in Chaotic Systems, Phys. Rev. E, 58, 1998, 382 – 386. http://dx.doi.org/10.1103/physreve.58.382 [17] M. G. Rosenblum, A. S. Pikovski, and J. Kurths, From Phase to Lag Synchronization in Coupled Chaotic Oscillators, Phys. Rev. Lett., 78, 1997, 4193 – 4196. http://dx.doi.org/10.1103/physrevlett.78.4193 [18] H. U. Voss, Anticipating Chaotic Synchronization, Phys. Rev. E, 61, 2000, 5115 – 5119. http://dx.doi.org/10.1103/physreve.61.5115 [19] R. Mainieri and J. Rehacek, Projective Synchronization in Three Dimensional Chaotic Systems. Phys. Rev. Lett., 82, 1999, 3042 – 3045. http://dx.doi.org/10.1103/physrevlett.82.3042 [20] Ch.K. Volos, I.M. Kyprianidis, and I.N. Stouboulos, Various Synchroniza tion Phenomena in Bidirectionally Coupled Double Scroll Circuits, Commun. Nonlinear Sc. Numer. Simulat., 16, 2011, 3356 – 3366. http://dx.doi.org/10.1016/j.cnsns.2010.11.015 [21] I. Pehlivan and Y. Uyaroglu, Rikitake Attractor and It’s Synchronization Application for Secure Communication Systems. Journal of Applied Science, 7 (2), 2007, 232-236. http://dx.doi.org/10.3923/jas.2007.232.236 [22] F. Zhu, Observer-based synchronization of uncertain chaotic system and its application to secure communications. Chaos, Solitons and Fractals 40, 2009, 2384–2391. http://dx.doi.org/10.1016/j.chaos.2007.10.052 [23] Ch. K. Volos, Image Encryption Using the Coexistence of Chaotic Synchronization Phenomena, Journal of Applied Mathematics and Bioinformatics, 3(1), 2013, 123 – 149. [24] K. Nakajima and Y. Sawada, Experimental studies on the weak coupling of oscillatory chemical reaction systems. J. Chem. Phys. 72(4), 1980, 2231-2234. http://dx.doi.org/10.1063/1.439466 [25] M. Mamat, Z. Salleh, Mada Sanjaya W. S. and Ismail Mohd, Numerical Simulation Bidirectional Chaotic Synchronization FitzHugh-Nagumo Neuronal System. Applied Mathematical Sciences, 6 (38), 2012, 1863 – 1876. [26] I. M. Kyprianidis, V. Papachristou, I. N. Stouboulos and Ch. K. Volos, Dynamics of Coupled Chaotic Bonhoeffer – van der Pol Oscillators, WSEAS Trans. Systems, 11(9), 2012, 516 I – 526. [27] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos, Synchronization Phenomena in Coupled Nonlinear Systems Applied in Economic Cycles, WSEAS Trans. Systems, 11(12), 2012, 681 – 690. [28] X. F. Li, Y. D. Chu, J. G. Zhang and Y. X. Chang, Nonlinear dynamics and circuit implementation for a new Lorenz-like attractor. Chaos, Solitons and Fractals. 41, 2009, 2360–2370. http://dx.doi.org/10.1016/j.chaos.2008.09.011 [29] Q. H. Alsafasfeh and M. S. Al-Arni, A New Chaotic Behavior from Lorenz and Rossler Systems and Its Electronic Circuit Implementation. Circuits and Systems, 2, 2011, 101-105. http://dx.doi.org/10.4236/cs.2011.22015 [30] H. Situngkir and Y. Surya, Perception on Modified Poincaré Map of Financial Time Series Data, Applications of Physics in Financial Analysis 4 (APFA4) Europhysics Conference of European Physical Society, 2003, 1-10. [31] S. X. Wang, Simulation of Chaos Synchronization, Ph.D thesis, University of Western Ontario, London, 1998. [32] H. Zhang, Chaos Synchronization and Its Application to Secure Communication, PhD thesis, University of Waterloo, Canada, 2010. |
| spellingShingle | Secure communications based on the synchronization of the New Lorenz-like attractor circuit |
| summary | Synchronization of chaotic systems is important because it might be useful in some type of private communications. In this paper, the phenomenon of Chaos that produced in the case of autonomous New Lorenz-like attractor circuit, have been studied extensively. The initial study of this work also includes some of the most well-known tools of nonlinear dynamics, such as the Lyapunov exponents and the Poincaré map. Furthermore, the use of this type of chaotic circuit in the connection substitution synchronization method is presented in details. After conducting the analysis of the proposed synchronization scheme, the use of such an autonomous chaotic circuit as a signal modulation in secure communication systems, has been examined. Finally, numerical simulations by using MATLAB 380 Aceng Sambas et al. 2010, as well as implementation of circuit simulations by using MultiSIM 10.0, has been performed in this work. |
| title | Secure communications based on the synchronization of the New Lorenz-like attractor circuit |
| title_full | Secure communications based on the synchronization of the New Lorenz-like attractor circuit |
| title_fullStr | Secure communications based on the synchronization of the New Lorenz-like attractor circuit |
| title_full_unstemmed | Secure communications based on the synchronization of the New Lorenz-like attractor circuit |
| title_short | Secure communications based on the synchronization of the New Lorenz-like attractor circuit |
| title_sort | secure communications based on the synchronization of the new lorenz-like attractor circuit |