Harmonic Solutions of Duffing Equation with Singularity via Time Map

Affiliation(s)

Department of Fundamental Courses, Academy of Armored Force Engineering, Beijing, China.

Department of Fundamental Courses, Academy of Armored Force Engineering, Beijing, China.

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.

Cite this paper

Xia, J. , Zheng, S. , Lv, B. and Shan, C. (2014) Harmonic Solutions of Duffing Equation with Singularity via Time Map.*Applied Mathematics*, **5**, 1528-1534. doi: 10.4236/am.2014.510146.

Xia, J. , Zheng, S. , Lv, B. and Shan, C. (2014) Harmonic Solutions of Duffing Equation with Singularity via Time Map.

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