Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503021 | Journal of Mathematical Analysis and Applications | 2005 | 16 Pages |
Abstract
This paper is devoted to the investigation on the existence of homoclinic orbits of the planar system of Liénard type xË=h(y)âF(x), yË=âg(x). Here h(y) is strictly increasing, but is not imposed h(±â)=±â. Sufficient conditions are given for a positive orbit of the system starting at a point on the curve h(y)=F(x) to approach the origin without intersecting the x-axis. The obtained theorems include previous results as special cases. Our results are applied to a concrete system and their sharpness are improved.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jitsuro Sugie,