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

Abstract

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 Φ 6 -Van der Pol Oscillator (VDPO) and Φ 6 -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.