Title of article :
Classification of singular points of perturbed quadratic systems
Author/Authors :
Aghajani, Asadollah School of Mathematics - Iran University of Science and Technology, Tehran , Mirafzal, Mohsen School of Mathematics - Iran University of Science and Technology, Tehran
Abstract :
We consider the following two-dimensional differential system By calculating Poincare index and using Bendixson formula we will find all the possibilities under definite conditions
for classifying the system by means of kinds of sectors around the origin which is an equilibrium point of degree two.
Keywords :
Quadratic system , Classification of singular points , Poincare index
Journal title :
International Journal of Nonlinear Analysis and Applications