**Authors: **Y Y Cao K W Chung J Xu

**Publish Date**: 2011/03/16

**Volume:** 64, **Issue:** 3, **Pages:** 221-236

## Abstract

A novel construction of homoclinic/heteroclinic orbits HOs in nonlinear oscillators is presented in this paper An accurate analytical solution of a HO for small perturbation can be obtained in terms of trigonometric functions An advantage of the present construction is that it gives an accurate approximate solution of a HO for large parametric value in relatively few harmonic terms while other analytical methods such as the Lindstedt–Poincaré method and the multiple scales method fail to do so

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