@Article{JNMA-1-11,
author = {Benterki , Rebiha and Llibre , Jaume},
title = {Periodic Solutions of the Duffing Differential Equation Revisited via the Averaging Theory},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2021},
volume = {1},
number = {1},
pages = {11--26},
abstract = {
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.
},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2019.11},
url = {http://global-sci.org/intro/article_detail/jnma/18865.html}
}
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 -
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.
Benterki , Rebiha and Llibre , Jaume. (2021). Periodic Solutions of the Duffing Differential Equation Revisited via the Averaging Theory.
Journal of Nonlinear Modeling and Analysis. 1 (1).
11-26.
doi:10.12150/jnma.2019.11
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