Title of article :
On the Poincare Index of Isolated Invariant Sets
Author/Authors :
RAZVAN, M. R. sharif university of technology - DEPARTMENT OF MATHEMATICS, تهران, ايران , FOTOUHI, M. sharif university of technology - DEPARTMENT OF MATHEMATICS, تهران, ايران
Abstract :
In this paper, the Conley index theory is used to examine the Poincare 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 Poincare index greater than one is shown.
Keywords :
Conley index , Homoclinic orbit , Poincare , Lefchetz duality , Poincare index.
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)
