Modeling, Analysis and Control of Chaotic Rucklidge System
Keywords:Chaos, Rucklidge, Control, LabView
AbstractThis paper presents modeling, analysis and research of chaotic Rucklidge system based on programming interface that has been developed in LabView software environment. This study allows for generating and researching the main properties of chaotic Rucklidge system, focusing on time distribution of three chaotic coordinates and phase portraits. A range of the system parameter with which we can generate different period (controlled) attractors and a number of trajectories of chaotic Rucklidge system are also presented. The programming interface demonstrates the algorithm of masking and decrypt information carrier. .
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), pp. 1–16, 2011.
V. B. Rusyn, “Modelling and Research of Chaotic Rossler System with LabView and Multisim Software Environment,” Visn. NTUU KPI, Ser. Radioteh. radioaparatobuduv., no. 59, pp. 21-28, 2014.
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), pp. 506–515, 2012.
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), pp. 11–21, 2013.
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, pp. 190-196.
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), pp. 66–73, 2013.
S. I. Samsudin, S.I.M. Salim, A. M. Yusop, N. Sulaiman, “A Comparative Study of Enhanced Nonlinear PI to Multivariable Nonlinear Plant,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 10, no. 2-7, pp. 23-26, 2018.
N. A. Anang, L. Abdullah, Z. Jamaludin, T. H. Chiew, M. Maharof, S. N. Syed Salim and Z. Retas, “Analysis of Nonlinear PID Controller for Tracking Performance of Ball Screw Drive,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 10, no. 2-2, pp. 67-71, 2018.
Said Jadid Abdulkadir, Hitham Alhussian, Ahmed Ibrahim Alzahrani, “Analysis of Recurrent Neural Networks for Henon Simulated TimeSeries Forecasting,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 10, no. 1-8, pp. 155-159, 2018.
D. N. F Awang Iskandar, Abdulmalik Bacheer Rahhal and Wadood Abdul, “Block Based Image Steganography in Spatial and Frequency Domain,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 9, no. 2-10, pp. 191-198, 2017.
Syahrulanuar Ngah and Rohani Abu Bakar, “Sigmoid Function Implementation Using the Unequal Segmentation of Differential Lookup Table and Second Order Nonlinear Function,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 9, no. 2-8, pp. 103-108, 2017.
Mohd Naqiuddin Sahrani, Md Mahfudz Mat Zan, Ihsan Mohd Yassin, Azlee Zabidi, Megat Syahirul Amin Megat Ali, “Artificial Neural Network Non-linear Auto Regressive Moving Average (NARMA) Model for Internet Traffic Prediction,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 9, no. 1-3, pp. 145-149, 2017.
M. N. Ahmad Nazri, Z. H. Ismail, R. Yusof, “Fault Detection and Diagnosis Using Cubature Kalman Filter for Nonlinear Process Systems,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 8, no. 11, pp. 63-67, 2016.
M. A. Ayob, W. N. W. Zakaria, J. Jalani, N. Mohamed Nasir, M. R. Md Tomari, “Estimation of Nonlinear ARX Model for Soft Tissue by Wavenet and Sigmoid Estimators,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 8, no. 7, pp. 123-128, 2016.
Cheong Tau Han, Tay Kim Gaik and Rosmila Abdul Kahar, “Nonlinear Equation Graphical User Interface Solver Using Excel VBA Programming,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 8, no. 2, pp. 59-63, 2016.
A. V. Sokolov, O. N. Zhdanov, “Regular Synthesis Method of a Complete Class of Ternary Bent-Sequences and Their Nonlinear Properties,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 8, no. 9, pp. 39-43, September – December 2016.
Z. Zakaria, N. H Ali, M. S Mohamad Isa, A. Awang Md Isa, “Design of Frequency Limiting Circuit Based on Nonlinear Matched Reflection-Mode Bandstop Resonator,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 4, no. 2, pp. 39-43, 2012.
V. Hajnova, L. Pribylova, “Two-parameter bifurcations in LPA model,” Journal of Mathematical Biology, 75(5), pp. 1235-1251, 2017.
Paul P. Horley, Mykola Ya. Kushnir, Mishel Morales-Meza, Alexander Sukhov, Volodymyr Rusyn, “Period-doubling bifurcation cascade observed in a ferromagnetic nanoparticle under the action of a spin-polarized current,” Physica B: Condensed Matter, Volume 486, pp. 60-63, 2016.
M. Agop, D. G. Dimitriu, O. Niculescu, E. Poll, V. Radu, “Experimental and theoretical evidence for the chaotic dynamics of complex structures,” Physica Scripta, 87(4), 045501, 2013.
Volodymyr Rusyn, Oleksandr Savko, “Modeling of Chaotic Behavior in the Economic Model,” Chaotic Modeling and Simulation. An International Journal of Nonlinear Science, pp. 291–298, July 2016.
L. Pribylova, “Bifurcation routes to chaos in an extended Van der Pol’s equation applied to economic models,” Electronic Journal of Differential Equations, 53, pp. 1-21, 2009.
Ott E., Grebogi C. and Yorke J.A., “Controlling chaos,” Phys. Rev. Lett., Vol. 64, pp. 1196-1199, 1990.
V. Rusyn, M. Kushnir, O. Galameiko, “Hyperchaotic Control by Thresholding Method,” TCSET'2012, February 21-24, 2012, LvivSlavske, Ukraine, p. 67.
Rusyn, V. B., Stancu, A., Stoleriu, L., “Modeling and Control of Chaotic Multi-Scroll Jerk System in LabView,” Visn. NTUU KPI, Ser. Radioteh. radioaparatobuduv., no. 63, pp. 94-99, 2015.
Rucklidge, A.M., “Chaos in models of double convection,” Journal of Fluid Mechanics, 237, pp. 209-229, 1992.
Pehlivan, I., Uyaroglu, Y., & Yogun, M., “Chaotic Oscillator Design and Realizations of the Rucklidge Attractor and Its Synchronization and Masking Simulations,” Scientific Research and Essays, Vol. 5(16), pp. 2210-2219, 18 August, 2010.
How to Cite
TRANSFER OF COPYRIGHT AGREEMENT
The manuscript is herewith submitted for publication in the Journal of Telecommunication, Electronic and Computer Engineering (JTEC). It has not been published before, and it is not under consideration for publication in any other journals. It contains no material that is scandalous, obscene, libelous or otherwise contrary to law. When the manuscript is accepted for publication, I, as the author, hereby agree to transfer to JTEC, all rights including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the author(s) specifically retain(s):
- All proprietary right other than copyright, such as patent rights
- The right to make further copies of all or part of the published article for my use in classroom teaching
- The right to reuse all or part of this manuscript in a compilation of my own works or in a textbook of which I am the author; and
- The right to make copies of the published work for internal distribution within the institution that employs me
I agree that copies made under these circumstances will continue to carry the copyright notice that appears in the original published work. I agree to inform my co-authors, if any, of the above terms. I certify that I have obtained written permission for the use of text, tables, and/or illustrations from any copyrighted source(s), and I agree to supply such written permission(s) to JTEC upon request.