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 .
Cite this paper
Abdul-Kareem, K. N. and Farris, S. M. (2020). Homoclinic Points and Homoclinic Orbits for the Quadratic Family of Real Functions with Two Parameters. Open Access Library Journal, 7, e6170. doi: http://dx.doi.org/10.4236/oalib.1106170.
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