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Systems 2016, 4(2), 25; doi:10.3390/systems4020025

Improved Time Response of Stabilization in Synchronization of Chaotic Oscillators Using Mathematica

1
College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Sultanate of Oman
2
School of Quantitative Sciences, College of Arts & Sciences, UUM, Keddha 06010, Malaysia
*
Author to whom correspondence should be addressed.
Academic Editor: Ockie Bosch
Received: 27 December 2015 / Revised: 31 March 2016 / Accepted: 15 June 2016 / Published: 22 June 2016

Abstract

Chaotic dynamics are an interesting topic in nonlinear science that has been intensively studied during the last three decades due to its wide availability. Motivated by much researches on synchronization, the authors of this study have improved the time response of stabilization when parametrically excited Φ6—Van der Pol Oscillator (VDPO) and Φ6—Duffing Oscillator (DO) are synchronized identically as well as non-identically (with each other) using the Linear Active Control (LAC) technique using Mathematica. Furthermore, the authors have synchronized the same pairs of the oscillators using a more robust synchronization with faster time response of stability called Robust Adaptive Sliding Mode Control (RASMC). A comparative study has been done between the previous results of Njah’s work and our results based on Mathematica via LAC. The time response of stabilization of synchronization using RASMC has been discussed. View Full-Text
Keywords: chaos synchronization; LAC; Mathematica; chaotic oscillators; RASMC chaos synchronization; LAC; Mathematica; chaotic oscillators; RASMC
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Shahzad, M.; Ahmad, I.; Saaban, A.B.; Ibrahim, A.B. Improved Time Response of Stabilization in Synchronization of Chaotic Oscillators Using Mathematica. Systems 2016, 4, 25.

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