Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system
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| collectionurl | https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 |
| date | 2015-10-07 08:36:36 |
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| id | 12383 |
| institution | UniSZA |
| internalnotes | [1] A. Sambas., M. Sanjaya W.S and Halimatussadiyah, Unidirectional Chaotic Synchronization of Rossler Circuit and Its Application for Secure Communication, WSEAS Transactions on System, 9 (2012), no. 11, 506 - 515. [2] 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 (2013), no. 1, 11 - 21. [3] Ch. K. Volos, I. M. Kyprianidis and I. N. Stouboulos, Motion Control of Robots Using a Chaotic Truly Random Bits Generator, Journal of Engineering Science and Technology Review, 5 (2012), no. 2, 6 - 11. [4] Ch. K. Volos, N. Doukas, I. M. Kyprianidis, I. N. Stouboulus, T. G. Kostis, (2013), Chaotic Autonomous Mobile Robot for Military Missions, Recent Advances in Telecommunications and Circuit Design. WSEAS 17th International Conference on Communications Rhodes Island, Greece July 16-19, 2013. 197-202, ISBN: 978-960-474-310-0. [5] J. L. Hindmarsh, and R. M. Rose, A model of neuronal bursting using three coupled first order differential equations, Philosophical Transaction of the Royal Society B: Biological Sciences, 221 (1984), 87 - 102. http://dx.doi.org/10.1098/rspb.1984.0024 [6] J. C. Sprott, Dynamical Models of Love, Nonlinear Dyn. Psych. Life Sci., 8 (2004), 303 - 314. [7] 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 [8] M. Sanjaya W. S, M. Mamat, Z. Salleh, and I. Mohd, Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model, Applied Mathematical Sciences, 5 (2011), no. 54, 2685 - 2695. [9] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos, Synchronization Phenomena in Coupled Nonlinear Systems Applied in Economic Cycles, WSEAS Trans. Systems, 11 (2012), no. 12, 681 - 690. [10] 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 [11] R. He and P. G. Vaidya, Analysis and Synthesis of Synchronous Periodic andChaotic Systems, Physical Review A, 46 (1992), no. 12, 7387 - 7392. http://dx.doi.org/10.1103/physreva.46.7387 [12] F. Liu, Y. Ren, X. Shan, and Z. Qiu, A linear feedback synchronization theorem for a class of chaotic systems, Chaos, Solitons and Fractals, 13 (2002), 723 - 730. http://dx.doi.org/10.1016/s0960-0779(01)00011-x [13] Y. Wang, Z.-H. Guan, and H. O. Wang, Feedback and adaptive control for the synchronization of Chen system via a single variable, Physics Letters A, 312 (2003), no. 1, 34 - 40. http://dx.doi.org/10.1016/s0375-9601(03)00573-5 [14] Y. Hong, H. Qin, and G. Chen, Adaptive synchronization of chaotic systems via state or output feedback control, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 11 (2001), 1149 - 1158. http://dx.doi.org/10.1142/s0218127401002626 [15] T. Yang, L.-B. Yang, and C.-M. Yang, Impulsive synchronization of lorenz systems, Physics Letters A, 226 (1997), no. 6, 349 - 354. http://dx.doi.org/10.1016/s0375-9601(97)00004-2 [16] J. Sun, Y. Zhang, and Q. Wu, Impulsive control for the stabilization and synchronization of Lorenz systems, Physics Letters A, 298 (2002), no. 2, 153 - 160. http://dx.doi.org/10.1016/s0375-9601(02)00466-8 [17] W. Xie, C. Wen, and Z. Li, Impulsive control for the stabilization and synchronization of Lorenz systems, Physics Letters A, 275 (2000), no. 1, 67 -72. http://dx.doi.org/10.1016/s0375-9601(00)00584-3 [18] A. I. Panas, T. Yang, and L. O. Chua, Experimental results of impulsive synchronization between two Chua’s circuits, International Journal of Bifurcation and Chaos, 8 (1998), no. 3, 639 - 644. http://dx.doi.org/10.1142/s0218127498000437 [19] A. Sambas, Mada Sanjaya W. S, Mustafa Mamat, N. V Karadimas and O. Tacha (2013), 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 Communica- tions Rhodes Island, Greece July 16-19, 2013. 190-196, ISBN: 978-960-474-310-0. [20] A. Sambas, Mada Sanjaya W. S, Mustafa Mamat and O. Tacha. 2013, 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), 66-73. ISSN: 1791-2377. [21] K. M. Cuomo and A. V. Oppenheim, Circuit implementation of synchronized chaos with applications to communications, Phys. Rev. Lett., 71 (1993), no. 1, 65 - 68. http://dx.doi.org/10.1103/physrevlett.71.65 [22] G. Kolumban, M. Kennedy, and L. Chua, The role of synchronization in digital communications using chaos. i. fundamentals of digital communications. Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on, 44 (1997), no. 10, 927 - 936. http://dx.doi.org/10.1109/81.633882 [23] L. Kocarev and Z. Tasev, Public-key encryption based on chebyshev maps, Circuits and System. Proceedings of the 2003 International Symposium on, 3 (2003), 28 - 31. [24] J. C. Sprott, Simple Chaotic Systems and Circuits, Am. J. Phys., 68 (2000), 758 - 763. http://dx.doi.org/10.1119/1.19538 [25] A. Pandey, R.K. Baghel and R. P. Singh, An Autonomous Chaotic Circuit for Wideband Secure Communication. International Journal of Engineering, Business and Enterprise Applications, 4 (2013), no. 1, 44 - 47. [26] A. Pandey, R.K. Baghel and R. P. Singh, Analysis and Circuit Realization of a New Autonomous Chaotic System, International Journal of Electronics and Communication Engineering, 5 (2012), no. 4, 487 - 495. [27] C. Li and J. C. Sprott, Finding coexisting attractors using amplitude control, Nonlinear Dynamics, 78 (2014), no. 3, 2059 – 2064. http://dx.doi.org/10.1007/s11071-014-1568-x [28] A. Wolf, 13. Quantity Chaos with Lyapunov Exponents, Chaos Princeton University Press, (1986), 273 - 290. http://dx.doi.org/10.1515/9781400858156.273 [29] F. Han, Multi-Scroll Chaos Generation Via Linear Systems and Hysteresis Function Series, PhD thesis, Royal Melbourne Institute of Technology University, Australia: 2004. |
| originalfilename | 6683-01-FH02-FIK-15-03873.jpg |
| person | UniSZA Unisza unisza |
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| resourceurl | https://intelek.unisza.edu.my/intelek/pages/view.php?ref=12383 |
| spelling | 12383 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=12383 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Article Journal UniSZA Unisza unisza image/jpeg inches 96 96 64 64 1411 799 2015-10-07 08:36:36 1411x799 6683-01-FH02-FIK-15-03873.jpg UniSZA Private Access Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system Advanced Studies in Theoretical Physics Information is masked by chaotic signals at the transmitter, and then sent to the receiver by the public channel. Finally the encrypted signals are decrypted at the receiver. In this scheme, the key issue is that the two identical chaos generators in the transmitter end and the receiver end need to be synchronized. In this paper, in order to show some interesting phenomena of three dimensional autonomous ordinary differential equations, the chaotic behavior as a function of a variable control parameter, has been studied. The initial study in this paper is to analyze the phase portraits, the Lyapunov exponents, the Poincaré maps and the bifurcation diagrams. Moreover, some appropriate comparisons are made to contrast some of the existing results. Finally, the effectiveness of the unidirectional coupling scheme between two identical Jerk circuits in a secure communication system is presented in details. Finally, the simulation and the experimental results are shown to demonstrate that the proposed method is correct and feasible. 9 11 Hikari Ltd. Hikari Ltd. 545-557 [1] A. Sambas., M. Sanjaya W.S and Halimatussadiyah, Unidirectional Chaotic Synchronization of Rossler Circuit and Its Application for Secure Communication, WSEAS Transactions on System, 9 (2012), no. 11, 506 - 515. [2] 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 (2013), no. 1, 11 - 21. [3] Ch. K. Volos, I. M. Kyprianidis and I. N. Stouboulos, Motion Control of Robots Using a Chaotic Truly Random Bits Generator, Journal of Engineering Science and Technology Review, 5 (2012), no. 2, 6 - 11. [4] Ch. K. Volos, N. Doukas, I. M. Kyprianidis, I. N. Stouboulus, T. G. Kostis, (2013), Chaotic Autonomous Mobile Robot for Military Missions, Recent Advances in Telecommunications and Circuit Design. WSEAS 17th International Conference on Communications Rhodes Island, Greece July 16-19, 2013. 197-202, ISBN: 978-960-474-310-0. [5] J. L. Hindmarsh, and R. M. Rose, A model of neuronal bursting using three coupled first order differential equations, Philosophical Transaction of the Royal Society B: Biological Sciences, 221 (1984), 87 - 102. http://dx.doi.org/10.1098/rspb.1984.0024 [6] J. C. Sprott, Dynamical Models of Love, Nonlinear Dyn. Psych. Life Sci., 8 (2004), 303 - 314. [7] 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 [8] M. Sanjaya W. S, M. Mamat, Z. Salleh, and I. Mohd, Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model, Applied Mathematical Sciences, 5 (2011), no. 54, 2685 - 2695. [9] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos, Synchronization Phenomena in Coupled Nonlinear Systems Applied in Economic Cycles, WSEAS Trans. Systems, 11 (2012), no. 12, 681 - 690. [10] 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 [11] R. He and P. G. Vaidya, Analysis and Synthesis of Synchronous Periodic andChaotic Systems, Physical Review A, 46 (1992), no. 12, 7387 - 7392. http://dx.doi.org/10.1103/physreva.46.7387 [12] F. Liu, Y. Ren, X. Shan, and Z. Qiu, A linear feedback synchronization theorem for a class of chaotic systems, Chaos, Solitons and Fractals, 13 (2002), 723 - 730. http://dx.doi.org/10.1016/s0960-0779(01)00011-x [13] Y. Wang, Z.-H. Guan, and H. O. Wang, Feedback and adaptive control for the synchronization of Chen system via a single variable, Physics Letters A, 312 (2003), no. 1, 34 - 40. http://dx.doi.org/10.1016/s0375-9601(03)00573-5 [14] Y. Hong, H. Qin, and G. Chen, Adaptive synchronization of chaotic systems via state or output feedback control, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 11 (2001), 1149 - 1158. http://dx.doi.org/10.1142/s0218127401002626 [15] T. Yang, L.-B. Yang, and C.-M. Yang, Impulsive synchronization of lorenz systems, Physics Letters A, 226 (1997), no. 6, 349 - 354. http://dx.doi.org/10.1016/s0375-9601(97)00004-2 [16] J. Sun, Y. Zhang, and Q. Wu, Impulsive control for the stabilization and synchronization of Lorenz systems, Physics Letters A, 298 (2002), no. 2, 153 - 160. http://dx.doi.org/10.1016/s0375-9601(02)00466-8 [17] W. Xie, C. Wen, and Z. Li, Impulsive control for the stabilization and synchronization of Lorenz systems, Physics Letters A, 275 (2000), no. 1, 67 -72. http://dx.doi.org/10.1016/s0375-9601(00)00584-3 [18] A. I. Panas, T. Yang, and L. O. Chua, Experimental results of impulsive synchronization between two Chua’s circuits, International Journal of Bifurcation and Chaos, 8 (1998), no. 3, 639 - 644. http://dx.doi.org/10.1142/s0218127498000437 [19] A. Sambas, Mada Sanjaya W. S, Mustafa Mamat, N. V Karadimas and O. Tacha (2013), 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 Communica- tions Rhodes Island, Greece July 16-19, 2013. 190-196, ISBN: 978-960-474-310-0. [20] A. Sambas, Mada Sanjaya W. S, Mustafa Mamat and O. Tacha. 2013, 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), 66-73. ISSN: 1791-2377. [21] K. M. Cuomo and A. V. Oppenheim, Circuit implementation of synchronized chaos with applications to communications, Phys. Rev. Lett., 71 (1993), no. 1, 65 - 68. http://dx.doi.org/10.1103/physrevlett.71.65 [22] G. Kolumban, M. Kennedy, and L. Chua, The role of synchronization in digital communications using chaos. i. fundamentals of digital communications. Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on, 44 (1997), no. 10, 927 - 936. http://dx.doi.org/10.1109/81.633882 [23] L. Kocarev and Z. Tasev, Public-key encryption based on chebyshev maps, Circuits and System. Proceedings of the 2003 International Symposium on, 3 (2003), 28 - 31. [24] J. C. Sprott, Simple Chaotic Systems and Circuits, Am. J. Phys., 68 (2000), 758 - 763. http://dx.doi.org/10.1119/1.19538 [25] A. Pandey, R.K. Baghel and R. P. Singh, An Autonomous Chaotic Circuit for Wideband Secure Communication. International Journal of Engineering, Business and Enterprise Applications, 4 (2013), no. 1, 44 - 47. [26] A. Pandey, R.K. Baghel and R. P. Singh, Analysis and Circuit Realization of a New Autonomous Chaotic System, International Journal of Electronics and Communication Engineering, 5 (2012), no. 4, 487 - 495. [27] C. Li and J. C. Sprott, Finding coexisting attractors using amplitude control, Nonlinear Dynamics, 78 (2014), no. 3, 2059 – 2064. http://dx.doi.org/10.1007/s11071-014-1568-x [28] A. Wolf, 13. Quantity Chaos with Lyapunov Exponents, Chaos Princeton University Press, (1986), 273 - 290. http://dx.doi.org/10.1515/9781400858156.273 [29] F. Han, Multi-Scroll Chaos Generation Via Linear Systems and Hysteresis Function Series, PhD thesis, Royal Melbourne Institute of Technology University, Australia: 2004. |
| spellingShingle | Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system |
| summary | Information is masked by chaotic signals at the transmitter, and then sent to the receiver by the public channel. Finally the encrypted signals are decrypted at the receiver. In this scheme, the key issue is that the two identical chaos generators in the transmitter end and the receiver end need to be synchronized. In this paper, in order to show some interesting phenomena of three dimensional autonomous ordinary differential equations, the chaotic behavior as a function of a variable control parameter, has been studied. The initial study in this paper is to analyze the phase portraits, the Lyapunov exponents, the Poincaré maps and the bifurcation diagrams. Moreover, some appropriate comparisons are made to contrast some of the existing results. Finally, the effectiveness of the unidirectional coupling scheme between two identical Jerk circuits in a secure communication system is presented in details. Finally, the simulation and the experimental results are shown to demonstrate that the proposed method is correct and feasible. |
| title | Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system |
| title_full | Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system |
| title_fullStr | Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system |
| title_full_unstemmed | Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system |
| title_short | Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system |
| title_sort | unidirectional synchronization of jerk circuit and it’s uses in secure communication system |