TITLE:
Stability Analysis of Periodic Solutions of Some Duffing’s Equations
AUTHORS:
E. O. Eze, U. E. Obasi, E. U. Agwu
KEYWORDS:
Stability Analysis, Duffing’s Equations, Periodic Solutions, MATCAD, Cartwright Method
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.9 No.4,
April
23,
2019
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.)