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Reduced Order Anti-Synchronization: A Comparison of Simulation between Mathematica and Matlab

Nizwa College of Applied Sciences, University of Technology & Applied Sciences, Salalah, Oman.

Periodicity:January - June'2021
DOI : https://doi.org/10.26634/jmat.10.1.17980

Abstract

The present study is based on the anti-synchronization of chaotic systems of different orders. The author studied the reduced-order anti-synchronization (ROAS) in order to observe the variations between the computational studies on Mathematica and Matlab. For demo purpose, circular restricted three body problem (CRTBP) and Lorenz chaotic systems of different orders are chosen. The study of ROAS has been carried out via a robust generalized active control technique under the effect of both unknown model uncertainties and external disturbances. In order to see the variations between the computational studies, a parallel simulation is carried out on Mathematica and Matlab at the same values of the parameters and initial conditions.

Keywords

Anti-synchronization, Mathematica, Matlab, Chaotic Systems, External Disturbances.

How to Cite this Article?

Shahzad, M. (2021). Reduced Order Anti-Synchronization: A Comparison of Simulation between Mathematica and Matlab. i-manager's Journal on Mathematics, 10(1), 1-9. https://doi.org/10.26634/jmat.10.1.17980

References

[1]. Al-sawalha, M. M., & Noorani, M. S. M. (2010). Adaptive reduced-order anti-synchronization of chaotic systems with fully unknown parameters. Communications in Nonlinear Science and Numerical Simulation, 15(10), 3022-3034.

[2]. Khan, A., & Shahzad, M. (2012). Computational study of synchronization & anti-synchronization in Mimas-Tethys system. i-manager's Journal on Mathematics, 1(2), 26-33.

[3]. Khan, A., & Shahzad, M. (2013a). Synchronization of Mimas-Tethys system with driven damped pendulum using a robust adaptive sliding mode controller. International Journal of Control, 3(1), 1-7.

[4]. Khan, A., & Shahzad, M. (2013b). Synchronization of circular restricted three body problem with Lorenz hyper chaotic system using a robust adaptive sliding mode controller. Complexity, 18(6), 58-64.

[5]. Khan, A., & Shahzad, M. (2014). Synchronization of circular restricted three body problem with Liu hyper chaotic system using a robust adaptive sliding mode controller. i-manager's Journal on Mathematics, 3(2), 22-29.

[6]. Shahzad, M. (2011). Synchronization and antisynchronization of a planar oscillation of satellite in an elliptic orbit via active control. Journal of Control Science and Engineering, 2011, 1-7.

[7]. Shahzad, M. (2012a). Chaos synchronization of an ellipsoidal satellite via active control. Progress in Applied Mathematics, 3(2), 16-23.

[8]. Shahzad, M. (2012b). Synchronization & antisynchronization of charged particle in the field of three plane waves. International Journal of Mathematical Archive, 3(11), 3935-3940.

[9]. Shahzad, M. (2014). Synchronization of three dimensional cancer model with lorenz system using a robust adaptive sliding mode controller. i-manager's Journal on Mathematics, 3(1), 27-34.

[10]. Shahzad, M. (2015). The improved results with Mathematica and effects of external uncertainty and disturbances on synchronization using a robust adaptive sliding mode controller: A comparative study. Nonlinear Dynamics, 79(3), 2037-2054.

[11]. Shahzad, M. (2019a). Reduced order synchronisation for circular restricted three body problem using adaptive sliding mode controller. International Journal of Nonlinear Dynamics and Control, 1(4), 361-375.

[12]. Shahzad, M. (2019b). Reduced order synchronization: A comparison of simulation between Mathematica & Matlab. i-manager's Journal on Mathematics, 8(4), 1-9.

[13]. Shahzad, M. (2020). Multi-switching synchronization of different orders: A generalization of increased/reduced order synchronization. Iranian Journal of Science and Technology, Transactions A: Science, 44(1), 167-176.

[14]. Shahzad, M., & Ahmad, I. (2013). Experimental study of synchronization & anti-synchronization for spin orbit problem of Enceladus. International Journal of Control Science and Engineering, 3(2), 41-47.

[15]. Shahzad, M., & Raziuddin, M. (2013a). Numerical study of synchronization & anti-synchronization of a rotating satellite. International Journal of Mathematical Archive, 4(7), 266-273.

[16]. Shahzad, M., & Raziuddin, M. (2013b). Synchronization & anti-synchronization of a chaotic satellite under the effect of magnetictorque viaactivecontrol. i-manager's Journal on Mathematics, 2(4), 7-13.

[17]. Shahzad, M., & Raziuddin, M. (2013c). Synchronization & anti-synchronization of a satellite's motion under air drag via active control. International Journal of Mathematical Archive, 4(12), 277-284.

[18]. Shahzad, M., & Raziuddin, M. (2014a). Numerical study of anti-synchronization of a natural satellite (Enceladus). International Journal of Engineering Research and Science & Technology, 3(2), 254-259.

[19]. Shahzad, M., & Raziuddin, M. (2014b). Synchronization & anti-synchronization via active control of a chaotic satellite: Nereid. International Journal of Communications, 3(1), 10-15.

[20]. Shahzad, M., & Raziuddin, M. (2015a). Synchronization of three dimensional cancer model with rosslar system using a robust adaptive sliding mode controller. International Journal of Mathematical Archive, 6(6), 123-132.

[21]. Shahzad, M., & Raziuddin, M. (2015b). Synchronization of three dimensional cancer model with chen system using a robust adaptive sliding mode controller with application to secure communications. i-manager's Journal on Mathematics, 4(3), 17-24.

[22]. Shahzad, M., Ahmad, I., Saaban, A. B., & Ibrahim, A. B. (2016). Improved time response of stabilization in synchronization of chaotic oscillators using Mathematica. Systems, 4(2), 25.

[23]. Shahzad, M., Pham, V. T., Ahmad, M. A., Jafari, S., & Hadaeghi, F. (2015). Synchronization and circuit design of a chaotic system with coexisting hidden attractors. The European Physical Journal Special Topics, 224(8), 1637-1652.

[24]. Shahzad, M., Raziuddin, M., & Mohammed, A. M. (2017). Synchronization of two identical circular restricted three body problem using a robust adaptive sliding mode controller with application to secure communications. i-manager's Journal on Mathematics, 5(4), 19-28.

[25]. Shahzad, M., Saaban, A. B., Ibrahim, A. B., & Ahmad, I. (2015). Adaptive control to synchronize and anti-synchronize two identical time delay Bhalekar-Gejji chaotic systems with unknown parameters. International Journal of Automation and Control, 9(3), 211-227.

[26]. Srivastava, M., Agrawal, S., & Das, S. (2013). Reduced-order anti-synchronization of the projections of the fractional order hyperchaotic and chaotic systems. Open Physics, 11(10), 1504-1513.

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Reduced Order Anti-Synchronization: A Comparison of Simulation between Mathematica and Matlab

Abstract

Keywords

How to Cite this Article?

References

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