Zhang, Li-Na; Xu, Lan Determination of the limit cycle by He’s parameter-expansion for oscillators in a \(u^3/(1+u^2)\) potential. (English) Zbl 1203.34053 Z. Nat.forsch., A: Phys. Sci. 62, No. 7-8, 396-398 (2007). Summary: This paper applies He’s parameter-expansion method to determine the limit cycle of oscillators in a \(u^3/(1+u^2)\) potential. The results are compared with the exact solutions. This shows that the method is a convenient and powerful mathematical tool for the search of limit cycles of nonlinear oscillators. Cited in 14 Documents MSC: 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations Keywords:He’s parameter-expansion method (PEM); limit cycle; nonlinear oscillators PDFBibTeX XMLCite \textit{L.-N. Zhang} and \textit{L. Xu}, Z. Nat.forsch., A: Phys. Sci. 62, No. 7--8, 396--398 (2007; Zbl 1203.34053) Full Text: Link