%0 Journal Article
%T Homoclinic Points and Homoclinic Orbits for the Quadratic Family of Real Functions with Two Parameters
%A Karam N. Abdul-Kareem
%A Salma M. Farris
%J Open Access Library Journal
%V 7
%N 4
%P 1-18
%@ 2333-9721
%D 2020
%I Open Access Library
%R 10.4236/oalib.1106170
%X <div style="text-align:justify;">
	In this work, we study the homoclinic points and homoclinic orbits of the family of real functions with two parameters. We show that the function has no homoclinic points for , but has a homoclinic point for  . Also, we prove that has homoclinic orbits for .
</div>
%K Local Unstable Set
%K Unstable Set
%K Homoclinic Point
%K Homoclinic Orbit
%U http://www.oalib.com/paper/5427293