Year: 2021
Author: Junhua Li, Hailing Wang, Zuxiong Li, Zhusong Chu, Chen Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 1 : pp. 115–130
Abstract
In this paper, the perturbation-incremental method is presented for the analysis of a quadratic isochronous system. This method combines the remarkable characteristics of the perturbation method and the incremental method. The first step is the perturbation method. Assuming that the parameter $\lambda$ is small, i.e. $\lambda\approx0$, the initial expression of the homoclinic orbit is obtained. The second step is the parameter incremental method. By extending the solution corresponding to small parameters to large parameters, we can get the analytical-expressions of homoclinic orbits.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.115
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 1 : pp. 115–130
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Perturbation-incremental method Homoclinic orbits Quadratic isochronous system.