Dynamics of a Discrete Duffing Equation with Fractional Order

A.George Maria Selvam¹ , D. Vignesh²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.208-211, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.208211

Online published on Dec 31, 2018

Copyright © A.George Maria Selvam, D. Vignesh . 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.
 

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Abstract :
This Paper considers a discrete fractional order 2-Dimensional system for a damped and driven Duffing Oscillator with linear and cubic term. Stability of the system is analyzed using the fixed points of the system. Time plot and Phase portraits are provided for different values of the parameters. Chaotic behavior of the system is studied with Bifurcation diagram. Numerical simulations are performed supporting the theoretical analysis.

Key-Words / Index Term :
Duffing equation, Fixed Points, Stability, Bifurcation

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