TY - JOUR
T1 - Periodic Solutions of the Duffing Differential Equation Revisited via the Averaging Theory
AU - Benterki , Rebiha
AU - Llibre , Jaume
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 11
EP - 26
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.11
UR - https://global-sci.org/intro/article_detail/jnma/18865.html
KW - Periodic solution, averaging method, Duffing differential equation, bifurcation, stability.
AB - <p style="text-align: justify;">We use three different results of the averaging theory of first order for studying the existence of new periodic solutions in the two Duffing differential equations $\ddot y+ a \sin y= b \sin t$ and $\ddot y+a y-c y^3=b\sin t$, where $a$, $b$ and $c$ are real parameters.</p>