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Chen, G. and Huang, Y. (2011) Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations. Synthesis Lectures on Mathematical Statistics, 4, 1-241.
https://doi.org/10.2200/S00373ED1V01Y201107MAS011

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 .