Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system
Rucklidge chaotic system is a nonlinear mechanical model of a double convection process. In this paper, we modify the dynamics of a Rucklidge chaotic system by adding a nonlinear term and derive a new chaotic system. The nonlinear dynamics of the proposed chaotic system is described through numerica...
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my-unisza-ir.16132020-11-19T00:45:39Z http://eprints.unisza.edu.my/1613/ Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system Sambas, A. Vaidyanathan, S. Mamat, M. Sanjaya WS, M. Yuningsih, S.H. Zakaria, K. Subiyanto, . Q Science (General) QA75 Electronic computers. Computer science Rucklidge chaotic system is a nonlinear mechanical model of a double convection process. In this paper, we modify the dynamics of a Rucklidge chaotic system by adding a nonlinear term and derive a new chaotic system. The nonlinear dynamics of the proposed chaotic system is described through numerical simulations which include the stability analysis of equilibrium points, phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, bifurcation diagram and a Poincare map. For specific values of the parameters, the proposed system displays periodic and chaotic behaviour. In addition, a new circuit implementation of the modified Rucklidge chaotic system is reported and examined in MultiSIM. A good qualitative agreement is shown between the simulations and the MultiSIM results. Furthermore, the fractional-order form of the modified Rucklidge chaotic system is numerically studied. By tuning the commensurate fractional order, the new chaotic system displays chaotic and periodic attractors, respectively. 2018 Conference or Workshop Item NonPeerReviewed image en http://eprints.unisza.edu.my/1613/1/FH03-FIK-18-15780.jpg Sambas, A. and Vaidyanathan, S. and Mamat, M. and Sanjaya WS, M. and Yuningsih, S.H. and Zakaria, K. and Subiyanto, . (2018) Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system. In: International Conference on Computation in Science and Engineering, ICCSE 2017, 10-12 Jul 2017, Bandung, Indonesia. |
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Q Science (General) QA75 Electronic computers. Computer science Sambas, A. Vaidyanathan, S. Mamat, M. Sanjaya WS, M. Yuningsih, S.H. Zakaria, K. Subiyanto, . Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system |
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Rucklidge chaotic system is a nonlinear mechanical model of a double convection process. In this paper, we modify the dynamics of a Rucklidge chaotic system by adding a nonlinear term and derive a new chaotic system. The nonlinear dynamics of the proposed chaotic system is described through numerical simulations which include the stability analysis of equilibrium points, phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, bifurcation diagram and a Poincare map. For specific values of the parameters, the proposed system displays periodic and chaotic behaviour. In addition, a new circuit implementation of the modified Rucklidge chaotic system is reported and examined in MultiSIM. A good qualitative agreement is shown between the simulations and the MultiSIM results. Furthermore, the fractional-order form of the modified Rucklidge chaotic system is numerically studied. By tuning the commensurate fractional order, the new chaotic system displays chaotic and periodic attractors, respectively. |
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Conference or Workshop Item |
author |
Sambas, A. Vaidyanathan, S. Mamat, M. Sanjaya WS, M. Yuningsih, S.H. Zakaria, K. Subiyanto, . |
author_facet |
Sambas, A. Vaidyanathan, S. Mamat, M. Sanjaya WS, M. Yuningsih, S.H. Zakaria, K. Subiyanto, . |
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Sambas, A. |
title |
Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system |
title_short |
Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system |
title_full |
Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system |
title_fullStr |
Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system |
title_full_unstemmed |
Dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system |
title_sort |
dynamics, circuit design and fractional-order form of a modified rucklidge chaotic system |
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2018 |
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http://eprints.unisza.edu.my/1613/1/FH03-FIK-18-15780.jpg http://eprints.unisza.edu.my/1613/ |
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1684657726136778752 |
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