Abstract
This paper investigates the dynamical behaviour of a duffing oscillator using
bifurcation diagrams. There has been growing interest and challenges in
engineering dynamics to characterize dynamical systems that are chaotic using
bifurcation diagrams. The relevant second order differential equations using
Runge-Kutta method were solved for ranges of appropriate parameters. The
solutions obtained were used to produce the bifurcation diagrams using
Microsoft excel 2007. Since an average estimate of 5 = 4.668 from the
bifurcation diagrams produced is an approximate value of the Feigenbaum
.constant as widely reported in the literatures, it can be deduced that the
bifurcation diagrams conforms to the expected results. While the bifurcation
diagrams revealed the dynamics of the duffing oscillator, it also shows that the
dynamics depend strongly on the initial conditions.
Salau, T (2021). Investigating Duffing Oscillator using Bifurcation Diagrams. Afribary. Retrieved from https://afribary.com/works/investigating-duffing-oscillator-using-bifurcation-diagrams
Salau, T.A.O. "Investigating Duffing Oscillator using Bifurcation Diagrams" Afribary. Afribary, 23 Apr. 2021, https://afribary.com/works/investigating-duffing-oscillator-using-bifurcation-diagrams. Accessed 05 Dec. 2024.
Salau, T.A.O. . "Investigating Duffing Oscillator using Bifurcation Diagrams". Afribary, Afribary, 23 Apr. 2021. Web. 05 Dec. 2024. < https://afribary.com/works/investigating-duffing-oscillator-using-bifurcation-diagrams >.
Salau, T.A.O. . "Investigating Duffing Oscillator using Bifurcation Diagrams" Afribary (2021). Accessed December 05, 2024. https://afribary.com/works/investigating-duffing-oscillator-using-bifurcation-diagrams