Abstract
In this paper, the Conley index theory is used to examine the Poincaré index of an isolated invariant set. Some limiting conditions on a critical point of a planar vector field are obtained to be an isolated invariant set. As a result, the existence of infinitely many homoclinic orbits for a critical point with the Poincaré index greater than one is shown.
| Original language | English |
|---|---|
| Pages (from-to) | 574-577 |
| Number of pages | 4 |
| Journal | Scientia Iranica |
| Volume | 15 |
| Issue number | 6 |
| Publication status | Published - 2008 |
| Externally published | Yes |
Keywords
- Conley index
- Homoclinic orbit
- Poincaré-Lefchetz duality
- Poincré index
ASJC Scopus subject areas
- General Engineering