Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Xiaolei Ren
Pages: [57] - [68]
Received Date: September 17, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122098
In this paper, homoclinic orbit of a fourth-order system will be
concerned, several assumptions are made to prove a fourth-order system
has a homoclinic orbit q emanating from 0 where 
Under these assumptions, we can find the
homoclinic orbit of the system by defining a function 
via the Mountain Pass Theorem.
homoclinic orbit, the Mountain Pass Theorem, critical point, periodic solutions.
