TITLE:
Harmonic Solutions of Duffing Equation with Singularity via Time Map
AUTHORS:
Jing Xia, Suwen Zheng, Baohong Lv, Caihong Shan
KEYWORDS:
Harmonic Solutions, Duffing Equation, Singularity, Time Map, Poincaré-Bohl Theorem
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.10,
June
3,
2014
ABSTRACT: This paper is devoted to the study of second-order Duffing
equation with singularity at
the origin, where tends to positive
infinity as , and the primitive function as . By applying the phase-plane analysis methods and
Poincaré-Bohl theorem, we obtain the existence of harmonic solutions of the
given equation under a kind of nonresonance condition for the time map.