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.

Highlights

  • The study of chaotic behavior in nonlinear systems has attracted much attention because of many possible applications in various fields of science and technology

  • 2.2–2.4, three different pairs of Φ6—VDPO and Duffing Oscillator (DO) have been synchronized using our study, simulations based on Mathematica that provide us the remarkable

  • It has been found that the time response of stabilization of synchronization is reduced by half when it is done using Mathematica

Read more

Summary

Introduction

The study of chaotic behavior in nonlinear systems has attracted much attention because of many possible applications in various fields of science and technology. Most of the research has been devoted to the modeling of new chaotic systems together with the control and synchronization [1]. Far much work based on modeling, as well as various new control and synchronization techniques, has been carried out and is worth citing. A recent study of Shahzad [23] focused the attention of researchers on how to choose a model based synchronization technique and the appropriate mathematical tools for simulation. Pourmahmood et al [24]

Objectives
Results
Conclusion
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call