TITLE:
Homoclinic Points and Homoclinic Orbits for the Quadratic Family of Real Functions with Two Parameters
AUTHORS:
Karam N. Abdul-Kareem, Salma M. Farris
KEYWORDS:
Local Unstable Set, Unstable Set, Homoclinic Point, Homoclinic Orbit
JOURNAL NAME:
Open Access Library Journal,
Vol.7 No.4,
April
20,
2020
ABSTRACT:
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 .