Stability Analysis of Periodic Solutions of Some Duffing’s Equations - Open Journal of Applied Sciences

OJAppS > Vol.9 No.4, April 2019

Stability Analysis of Periodic Solutions of Some Duffing’s Equations ()

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Download as PDF (Size: 924KB) PP. 198-214

DOI: 10.4236/ojapps.2019.94017 1,272 Downloads 2,893 Views Citations

Author(s)

E. O. Eze, U. E. Obasi, E. U. Agwu

Affiliation(s)

Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Umuahia, Nigeria.

ABSTRACT

In this paper, some stability results were reviewed. A suitable and complete Lyapunov function for the hard spring model was constructed using the Cartwright method. This approach was compared with the existing results which confirmed a superior global stability result. Our contribution relies on its application to high damping door constructions. (2010 Mathematics Subject Classification: 34B15, 34C15, 34C25, 34K13.)

KEYWORDS

Stability Analysis, Duffing’s Equations, Periodic Solutions, MATCAD, Cartwright Method

Share and Cite:

Eze, E. , Obasi, U. and Agwu, E. (2019) Stability Analysis of Periodic Solutions of Some Duffing’s Equations. Open Journal of Applied Sciences, 9, 198-214. doi: 10.4236/ojapps.2019.94017.

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