Design, numerical simulation of Jerk circuit and its circuit implementation
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| collectionurl | https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 |
| date | 2015-07-27 10:27:33 |
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| id | 12188 |
| institution | UniSZA |
| internalnotes | [1] J. Awrejcewicz, G. Kudra and G. Wasilewski. Experimental and numerical investigation of chaotic regions in the triple physical pendulum, Nonlinear Dyn., 50 (2007), 755–766. http://dx.doi.org/10.1007/s11071-007-9235-0 [2] 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 of London, 2 (1984), 87-102. [3] I. Μ. Kyprianidis, A. T. Makri, I. N. Stouboulos, Ch. K. Volos. Antimonotonicity in a FitzHugh – Nagumo Type Circuit, Recent Advances in Finite Differences and Applied & Computational Mathematics, Proc. 2nd International Conference on Applied and Computational Mathematics (ICACM '13), pp. 151-156, May 2013, Vouliagmeni, Greece. [4] 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), 681–690. [5] 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), 11–21. [6] A. Sambas, Mada Sanjaya W. S, Mustafa Mamat. 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 (2013), 66-73. ISSN: 1791-2377. [7] X. F. Li, K. E. Chlouverakis, D. L Xu. Nonlinear Dynamics and Circuit Realization of a New Chaotic Flow: A Variant of Lorenz, Chen and Lü. Nonlinear Analysis: Real World Applications, 10 (2009), 2357-2368. http://dx.doi.org/10.1016/j.nonrwa.2008.04.024 [8] 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 (2011), 281–285. [9] Richard W. Russell and J. Wanzer Drane. Improved rearrangement of the integrated michaelis-menten equation for calculating in vivo kinetics of transport and metabolism. Journal of Dairy Science, 75 (1992), 3455–3464. http://dx.doi.org/10.3168/jds.s0022-0302(92)78121-1 [10] 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 [11] M. Sanjaya W. S, M. Mamat, Z. Salleh, and I. Mohd. Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model, Applied Mathematical Sciences, 5 (2011), 2685–2695. [12] J. C. Sprott, Dynamical Models of Love, Nonlinear Dyn. Psych. Life Sci., 8 (2004), 303–314. [13] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos. Image Encryption Pprocess Based on Chaotic Synchronization Phenomena, Signal Processing, 93 (2013), 1328–1340. http://dx.doi.org/10.1016/j.sigpro.2012.11.008 [14] Ch. K. Volos. Image Encryption Using the Coexistence of Chaotic Synchronization Phenomena, Journal of Applied Mathematics and Bioinformatics, 3 (2013), 123–149. [15] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos. Text Encryption Scheme Realized with a Chaotic Pseudo-Random Bit Generator, Journal of Engineering Science and Technology Review, 6 (2013), 9–14. [16] Ch. K. Volos, N. Doukas, I. M. Kyprianidis, I. N. Stouboulus, T. G. Kostis. 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. [17] Ch. K. Volos, I. M. Kyprianidis, I. N. Stouboulos. Experimental Investigation on Coverage Performance of a Chaotic Autonomous Mobile Robot, Robotics and Autonomous Systems, 61 (2013), 1314–1322. http://dx.doi.org/10.1016/j.robot.2013.08.004 [18] A. Sambas, Mada Sanjaya W. S, Mustafa 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. [19] A. Sambas, Mada Sanjaya W. S, Mustafa 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 (2013), 66-73. [20] E. N. Lorenz. Deterministic Nonperiodic Flow. J. Atmos. Sci, 20 (1963), 130-141. http://dx.doi.org/10.1175/1520-0469(1963)0202.0.co;2 [21] O. E. Rossler. An Equation for Continous Chaos. Phys. Lett. A 57 (1976), 397-398. http://dx.doi.org/10.1016/0375-9601(76)90101-8 [22] J. C. Sprott, Some Simple Chaotic Flows, Phys. Lett., E50 (1994), R647- R650. http://dx.doi.org/10.1103/physreve.50.r647 [23] J. C. Sprott. Simple Chaotic Systems and Circuits, Am. J. Phys, 68 (2000), 758–763. http://dx.doi.org/10.1119/1.19538 [24] J. C. Sprott. Elegant Chaos Algebraically Simple Chaotic Flows, World Scientific, Singapore, 2010. http://dx.doi.org/10.1142/9789812838827 [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), 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), 487-495. |
| originalfilename | 6488-01-FH02-FIK-15-03531.jpg |
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| resourceurl | https://intelek.unisza.edu.my/intelek/pages/view.php?ref=12188 |
| spelling | 12188 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=12188 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Article Journal UniSZA Unisza unisza image/jpeg inches 96 96 789 1424 36 36 2015-07-27 10:27:33 1424x789 6488-01-FH02-FIK-15-03531.jpg UniSZA Private Access Design, numerical simulation of Jerk circuit and its circuit implementation Advanced Studies in Theoretical Physics 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 complex dynamical behaviors of the system are further investigated by means of eigenvalue structures and various attractors. The chaotic system examined in MATLAB 2010. The Oscillator circuit of the chaotic system is afterwards designed by using MultiSIM software and a typical chaotic attractor is experimentally demonstrated. 9 7 HIKARI Ltd. HIKARI Ltd. 295-308 [1] J. Awrejcewicz, G. Kudra and G. Wasilewski. Experimental and numerical investigation of chaotic regions in the triple physical pendulum, Nonlinear Dyn., 50 (2007), 755–766. http://dx.doi.org/10.1007/s11071-007-9235-0 [2] 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 of London, 2 (1984), 87-102. [3] I. Μ. Kyprianidis, A. T. Makri, I. N. Stouboulos, Ch. K. Volos. Antimonotonicity in a FitzHugh – Nagumo Type Circuit, Recent Advances in Finite Differences and Applied & Computational Mathematics, Proc. 2nd International Conference on Applied and Computational Mathematics (ICACM '13), pp. 151-156, May 2013, Vouliagmeni, Greece. [4] 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), 681–690. [5] 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), 11–21. [6] A. Sambas, Mada Sanjaya W. S, Mustafa Mamat. 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 (2013), 66-73. ISSN: 1791-2377. [7] X. F. Li, K. E. Chlouverakis, D. L Xu. Nonlinear Dynamics and Circuit Realization of a New Chaotic Flow: A Variant of Lorenz, Chen and Lü. Nonlinear Analysis: Real World Applications, 10 (2009), 2357-2368. http://dx.doi.org/10.1016/j.nonrwa.2008.04.024 [8] 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 (2011), 281–285. [9] Richard W. Russell and J. Wanzer Drane. Improved rearrangement of the integrated michaelis-menten equation for calculating in vivo kinetics of transport and metabolism. Journal of Dairy Science, 75 (1992), 3455–3464. http://dx.doi.org/10.3168/jds.s0022-0302(92)78121-1 [10] 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 [11] M. Sanjaya W. S, M. Mamat, Z. Salleh, and I. Mohd. Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model, Applied Mathematical Sciences, 5 (2011), 2685–2695. [12] J. C. Sprott, Dynamical Models of Love, Nonlinear Dyn. Psych. Life Sci., 8 (2004), 303–314. [13] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos. Image Encryption Pprocess Based on Chaotic Synchronization Phenomena, Signal Processing, 93 (2013), 1328–1340. http://dx.doi.org/10.1016/j.sigpro.2012.11.008 [14] Ch. K. Volos. Image Encryption Using the Coexistence of Chaotic Synchronization Phenomena, Journal of Applied Mathematics and Bioinformatics, 3 (2013), 123–149. [15] Ch. K. Volos, I. M. Kyprianidis, and I. N. Stouboulos. Text Encryption Scheme Realized with a Chaotic Pseudo-Random Bit Generator, Journal of Engineering Science and Technology Review, 6 (2013), 9–14. [16] Ch. K. Volos, N. Doukas, I. M. Kyprianidis, I. N. Stouboulus, T. G. Kostis. 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. [17] Ch. K. Volos, I. M. Kyprianidis, I. N. Stouboulos. Experimental Investigation on Coverage Performance of a Chaotic Autonomous Mobile Robot, Robotics and Autonomous Systems, 61 (2013), 1314–1322. http://dx.doi.org/10.1016/j.robot.2013.08.004 [18] A. Sambas, Mada Sanjaya W. S, Mustafa 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. [19] A. Sambas, Mada Sanjaya W. S, Mustafa 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 (2013), 66-73. [20] E. N. Lorenz. Deterministic Nonperiodic Flow. J. Atmos. Sci, 20 (1963), 130-141. http://dx.doi.org/10.1175/1520-0469(1963)0202.0.co;2 [21] O. E. Rossler. An Equation for Continous Chaos. Phys. Lett. A 57 (1976), 397-398. http://dx.doi.org/10.1016/0375-9601(76)90101-8 [22] J. C. Sprott, Some Simple Chaotic Flows, Phys. Lett., E50 (1994), R647- R650. http://dx.doi.org/10.1103/physreve.50.r647 [23] J. C. Sprott. Simple Chaotic Systems and Circuits, Am. J. Phys, 68 (2000), 758–763. http://dx.doi.org/10.1119/1.19538 [24] J. C. Sprott. Elegant Chaos Algebraically Simple Chaotic Flows, World Scientific, Singapore, 2010. http://dx.doi.org/10.1142/9789812838827 [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), 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), 487-495. |
| spellingShingle | Design, numerical simulation of Jerk circuit and its circuit implementation |
| summary | 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 complex dynamical behaviors of the system are further investigated by means of eigenvalue structures and various attractors. The chaotic system examined in MATLAB 2010. The Oscillator circuit of the chaotic system is afterwards designed by using MultiSIM software and a typical chaotic attractor is experimentally demonstrated. |
| title | Design, numerical simulation of Jerk circuit and its circuit implementation |
| title_full | Design, numerical simulation of Jerk circuit and its circuit implementation |
| title_fullStr | Design, numerical simulation of Jerk circuit and its circuit implementation |
| title_full_unstemmed | Design, numerical simulation of Jerk circuit and its circuit implementation |
| title_short | Design, numerical simulation of Jerk circuit and its circuit implementation |
| title_sort | design, numerical simulation of jerk circuit and its circuit implementation |