Article citationsMore>>

Avrutin, V., Schenke, B. and Gardini, L. (2015) Calculation of Homoclinic and Hete-Roclinic Orbits in 1D Maps. Communications in Nonlinear Science and Numerical Simulation, 22, 1201-1214. https://doi.org/10.1016/j.cnsns.2014.07.008

has been cited by the following article:

• 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 .