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1860797503977291776
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INTELEK Repository
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Online Access
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https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072
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2016-05-25 12:05:43
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Restricted Document
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13004
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UniSZA
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[1] H. Zhang, “Chaos synchronization and its application to secure communication”, PhD thesis, University of Waterloo, Canada. 2010. [2] F. Han, “Multi-Scroll chaos generation via linear systems and hysteresis function series”. Dissertation, PhD Thesis, Royal Melbourne Institute of Technology, Australia, 2004. [3] T. Shinbrot, C. Grebogi, J. Wisdom and J. A. Yorke, “Chaos in a double pendulum”, American Journal of Physics, 60, 491-499. 1992. [4] S. Bouali, A. Buscarino, L. Fortuna, M. Frasca, and L. V. Gambuzza, “Emulating Complex Business Cycles by Using an Electronic Analogue”, Nonlinear Analysis: Real World Applications, 13, 2459–2465, 2012. [5] M. Sanjaya W. S, M. Mamat, Z. Salleh and I Mohd, “Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model”, Applied Mathematical Sciences, 5, 2685-2695, 2011. [6] 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, 9, 334-340, 2012. [7] J. C. Sprott, “Dynamical models of love”, Nonlinear Dyn. Psych. Life Sci, 8, 303-314, 2004. [8] K. Nakajima and Y. Sawada Y, “Experimental Studies on the Weak Coupling of Oscillatory Chemical Reaction Systems”, J. Chem. Phys, 72, 2231-2234, 1979. [9] M. Islam and K.Murase, “Chaotic Dynamics of a Behavior-based Miniature Mobile Robot: Effects of Environment and Control Structure”, Neural Networks, 18, 123-144, 2005. [10] 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, 9-14, 2013. [11] A. S Andreatos and A. P. Leros, “Secure Image Encryption Based on a Chua Chaotic Noise Generator, Journal of Engineering Science and Technology Review, 6, 90-103, 2013. [12] S. Lian, J. Sun, G. Liu and Z. Wang, “Efficient Video Encryption Scheme Based on Advanced Video Coding”. Multimed. Tools Appl, 38, 75-89, 2008. [13] M. Abdulkareem and I. Q. Abduljaleel I. Q, “Speech Encryption using Chaotic Map and Blowsh Algorithms”, Journal of Basrah Researches. 39, 68-76, 2013. [14] 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, 11-21, 2013. [15] A. Sambas, M. Sanjaya W. S and Halimatussadiyah, “Unidirectional Chaotic Synchronization of Rossler Circuit and Its Application for Secure Communication”. WSEAS Transaction On System, 11, 506-515, 2012. [16] A. Sambas, M. Sanjaya W. S and M. 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, 66-73, 2013. [17] A. Sambas, M. Sanjaya W. S, M. Mamat, N. V. Karadimas and Tacha, O, “Numerical Simulations in Jerk Circuit and Its 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. [18] E.N. Lorenz, “Deterministic Nonperiodic Flow”. J. of the Atmospheric Sciences, 20, 130-141, 1963. [19] O.E. Rössler, “An equation for continuous chaos”, Physics Letters A, 57, 397-398, 1976. [20] D. W. Moore and E. A. Spiegel, “A Thermally Excited Non-Linear Oscillator”, Astrophys. J, 143, 871-887, 1986. [21] R. Genesio and A. Tesi A, “A Harmonic Balance Methods for the Analysis of Chaotic Dynamics in Nonlinear Systems”, Automatica, 28, 531–48, 1992. [22] J. C. Sprott, “Some Simple Chaotic Flows”, Phys. Let. E, 50, 647-650, 1994. [23] J. M. Malasoma, “A New Class of Minimal Chaotic Flows, Phys. Lett.A, 264, 383-389, 2000. [24] J. C. Sprott, “A New Chaotic Jerk Circuit”, IEEE Transactions on Circuits and Systems-II: Express Briefs, 58, 240-243, 2011. [25] K. H Sun and J. C. Sprott, “A Simple Jerk System With Piecewise Exponential Nonlinearity”, International Journal of Nonlinear Sciences and Numerical Simulation, 10, 1443-1450, 2009. [26] J. C. Sprott, “Elegant Chaos Algebraically Simple Chaotic Flows”, Singapore: World Scientic, 2010. [27] 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, 44-47, 2013. [28] A. Sambas, M. Sanjaya W. S and M. Mamat, “Bidirectional Coupling Scheme of Chaotic Systems and its Application in Secure Communication System”. Special Issue on Synchronization and Control of Chaos: Theory, Methods and Application. Journal of Engineering Science and Technology Review, 8, 89-95, 2015. [29] S. Vaidyanathan, Ch. K. Volos, V. T. Pham, K. Madhavan and B. A. Idowu, “Adaptive Backstepping Control, Synchronization and Circuit Simulation of a 3-D Novel Jerk Chaotic System with Two Hyperbolic Sinusoidal Nonlinearities”. Archives of Control Sciences, 24, 257-285, 2014. [30] S. Vaidyanathan, Ch. K. Volos, V. T. Pham and K. Madhavan, “Analysis, Adaptive Control and Synchronization of a Novel 4-D Hyperchaotic Hyperjerk System and Its SPICE Implementation. Archives of Control Sciences, 25, 135-158, 2015. [31] S. Vaidyanathan, Ch. K. Volos, I. M. Kyprianidis, I. N. Stouboulos and V. T. Pham, “Analysis, Adaptive Control and Anti-Synchronization of a Six-Term Novel Jerk Chaotic System with two Exponential Nonlinearities and its Circuit Simulation”, Special Issue on Synchronization and Control of Chaos: Theory, Methods and Applications, Journal of Engineering Science and Technology Review, 8, 24-36, 2015. [32] J. H. Park, S. M. Lee and O. M. Kwon, “Adaptive Synchronization of Genesio–Tesi Chaotic System via a Novel Feedback Control”, Physics Letter A, 371, 263-270, 2007. [33] A. Wolf, J. B. Swift, H. L. Swinney and J. A. Vastano, “Determining Lyapunov Exponents From a Time Series”, Physica D, 16, 285-317, 1985. [34] X. F. Li, K. E. Chlouverakis and D-L Xu, “Nonlinear Dynamics and Circuit Realization of a New Chaotic Flow: A Variant of Lorentz, Chen and L, Nonlinear Analysis: Real World Application, 10, 2357-2368, 2009. [35] C. Li, X. K. Sheng, H. Wen, “Sprott System Locked on Chaos with Constant Lyapunov Exponent Spectrum and Its AntiSynchronization, Acta. Phys. Sin, 60, 1-11, 2011. [36] C. Li and J. C. Sprott, “Coexisting Hidden Attractors in a 4-D Simplified Lorenz System”, International Journal of Bifurcation and Chaos, 24, 1450034-1–1450034-12, 2014.
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norman
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oai_dc
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13004 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=13004 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Article Journal image/jpeg inches 96 96 norman 1422 772 19 19 1422x772 2016-05-25 12:05:43 7315-01-FH02-FIK-16-05902.jpg UniSZA Private Access Design, analysis of the Genesio-Tesi chaotic system and its electronic experimental implementation International Journal of Control Theory and Applications In this paper, a Genesio-Tesi chaotic system with one quadratic term has been proposed, and its qualitative properties have been detailed. The dynamic behavior of the Genesio-Tesi chaotic attractor is analyzed. Specially, the Lyapunov spectrum and eigenvalue structure are calculated and the bifurcation diagram is sketched. Chaotic electronic implementation of Genesio-Tesi attractor were designed and simulated in MultiSIM. The system was implemented as an electronic circuit whose behavior confirms the numerical predictions. 9 1 International Science Press International Science Press 141-149 [1] H. Zhang, “Chaos synchronization and its application to secure communication”, PhD thesis, University of Waterloo, Canada. 2010. [2] F. Han, “Multi-Scroll chaos generation via linear systems and hysteresis function series”. Dissertation, PhD Thesis, Royal Melbourne Institute of Technology, Australia, 2004. [3] T. Shinbrot, C. Grebogi, J. Wisdom and J. A. Yorke, “Chaos in a double pendulum”, American Journal of Physics, 60, 491-499. 1992. [4] S. Bouali, A. Buscarino, L. Fortuna, M. Frasca, and L. V. Gambuzza, “Emulating Complex Business Cycles by Using an Electronic Analogue”, Nonlinear Analysis: Real World Applications, 13, 2459–2465, 2012. [5] M. Sanjaya W. S, M. Mamat, Z. Salleh and I Mohd, “Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model”, Applied Mathematical Sciences, 5, 2685-2695, 2011. [6] 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, 9, 334-340, 2012. [7] J. C. Sprott, “Dynamical models of love”, Nonlinear Dyn. Psych. Life Sci, 8, 303-314, 2004. [8] K. Nakajima and Y. Sawada Y, “Experimental Studies on the Weak Coupling of Oscillatory Chemical Reaction Systems”, J. Chem. Phys, 72, 2231-2234, 1979. [9] M. Islam and K.Murase, “Chaotic Dynamics of a Behavior-based Miniature Mobile Robot: Effects of Environment and Control Structure”, Neural Networks, 18, 123-144, 2005. [10] 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, 9-14, 2013. [11] A. S Andreatos and A. P. Leros, “Secure Image Encryption Based on a Chua Chaotic Noise Generator, Journal of Engineering Science and Technology Review, 6, 90-103, 2013. [12] S. Lian, J. Sun, G. Liu and Z. Wang, “Efficient Video Encryption Scheme Based on Advanced Video Coding”. Multimed. Tools Appl, 38, 75-89, 2008. [13] M. Abdulkareem and I. Q. Abduljaleel I. Q, “Speech Encryption using Chaotic Map and Blowsh Algorithms”, Journal of Basrah Researches. 39, 68-76, 2013. [14] 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, 11-21, 2013. [15] A. Sambas, M. Sanjaya W. S and Halimatussadiyah, “Unidirectional Chaotic Synchronization of Rossler Circuit and Its Application for Secure Communication”. WSEAS Transaction On System, 11, 506-515, 2012. [16] A. Sambas, M. Sanjaya W. S and M. 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, 66-73, 2013. [17] A. Sambas, M. Sanjaya W. S, M. Mamat, N. V. Karadimas and Tacha, O, “Numerical Simulations in Jerk Circuit and Its 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. [18] E.N. Lorenz, “Deterministic Nonperiodic Flow”. J. of the Atmospheric Sciences, 20, 130-141, 1963. [19] O.E. Rössler, “An equation for continuous chaos”, Physics Letters A, 57, 397-398, 1976. [20] D. W. Moore and E. A. Spiegel, “A Thermally Excited Non-Linear Oscillator”, Astrophys. J, 143, 871-887, 1986. [21] R. Genesio and A. Tesi A, “A Harmonic Balance Methods for the Analysis of Chaotic Dynamics in Nonlinear Systems”, Automatica, 28, 531–48, 1992. [22] J. C. Sprott, “Some Simple Chaotic Flows”, Phys. Let. E, 50, 647-650, 1994. [23] J. M. Malasoma, “A New Class of Minimal Chaotic Flows, Phys. Lett.A, 264, 383-389, 2000. [24] J. C. Sprott, “A New Chaotic Jerk Circuit”, IEEE Transactions on Circuits and Systems-II: Express Briefs, 58, 240-243, 2011. [25] K. H Sun and J. C. Sprott, “A Simple Jerk System With Piecewise Exponential Nonlinearity”, International Journal of Nonlinear Sciences and Numerical Simulation, 10, 1443-1450, 2009. [26] J. C. Sprott, “Elegant Chaos Algebraically Simple Chaotic Flows”, Singapore: World Scientic, 2010. [27] 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, 44-47, 2013. [28] A. Sambas, M. Sanjaya W. S and M. Mamat, “Bidirectional Coupling Scheme of Chaotic Systems and its Application in Secure Communication System”. Special Issue on Synchronization and Control of Chaos: Theory, Methods and Application. Journal of Engineering Science and Technology Review, 8, 89-95, 2015. [29] S. Vaidyanathan, Ch. K. Volos, V. T. Pham, K. Madhavan and B. A. Idowu, “Adaptive Backstepping Control, Synchronization and Circuit Simulation of a 3-D Novel Jerk Chaotic System with Two Hyperbolic Sinusoidal Nonlinearities”. Archives of Control Sciences, 24, 257-285, 2014. [30] S. Vaidyanathan, Ch. K. Volos, V. T. Pham and K. Madhavan, “Analysis, Adaptive Control and Synchronization of a Novel 4-D Hyperchaotic Hyperjerk System and Its SPICE Implementation. Archives of Control Sciences, 25, 135-158, 2015. [31] S. Vaidyanathan, Ch. K. Volos, I. M. Kyprianidis, I. N. Stouboulos and V. T. Pham, “Analysis, Adaptive Control and Anti-Synchronization of a Six-Term Novel Jerk Chaotic System with two Exponential Nonlinearities and its Circuit Simulation”, Special Issue on Synchronization and Control of Chaos: Theory, Methods and Applications, Journal of Engineering Science and Technology Review, 8, 24-36, 2015. [32] J. H. Park, S. M. Lee and O. M. Kwon, “Adaptive Synchronization of Genesio–Tesi Chaotic System via a Novel Feedback Control”, Physics Letter A, 371, 263-270, 2007. [33] A. Wolf, J. B. Swift, H. L. Swinney and J. A. Vastano, “Determining Lyapunov Exponents From a Time Series”, Physica D, 16, 285-317, 1985. [34] X. F. Li, K. E. Chlouverakis and D-L Xu, “Nonlinear Dynamics and Circuit Realization of a New Chaotic Flow: A Variant of Lorentz, Chen and L, Nonlinear Analysis: Real World Application, 10, 2357-2368, 2009. [35] C. Li, X. K. Sheng, H. Wen, “Sprott System Locked on Chaos with Constant Lyapunov Exponent Spectrum and Its AntiSynchronization, Acta. Phys. Sin, 60, 1-11, 2011. [36] C. Li and J. C. Sprott, “Coexisting Hidden Attractors in a 4-D Simplified Lorenz System”, International Journal of Bifurcation and Chaos, 24, 1450034-1–1450034-12, 2014.
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| spellingShingle |
Design, analysis of the Genesio-Tesi chaotic system and its electronic experimental implementation
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| summary |
In this paper, a Genesio-Tesi chaotic system with one quadratic term has been proposed, and its qualitative properties have been detailed. The dynamic behavior of the Genesio-Tesi chaotic attractor is analyzed. Specially, the Lyapunov spectrum and eigenvalue structure are calculated and the bifurcation diagram is sketched. Chaotic electronic implementation of Genesio-Tesi attractor were designed and simulated in MultiSIM. The system was implemented as an electronic circuit whose behavior confirms the numerical predictions.
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| title |
Design, analysis of the Genesio-Tesi chaotic system and its electronic experimental implementation
|
| title_full |
Design, analysis of the Genesio-Tesi chaotic system and its electronic experimental implementation
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| title_fullStr |
Design, analysis of the Genesio-Tesi chaotic system and its electronic experimental implementation
|
| title_full_unstemmed |
Design, analysis of the Genesio-Tesi chaotic system and its electronic experimental implementation
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| title_short |
Design, analysis of the Genesio-Tesi chaotic system and its electronic experimental implementation
|
| title_sort |
design, analysis of the genesio-tesi chaotic system and its electronic experimental implementation
|