Discrete Dynamics in Nature and Society
Volume 2004 (2004), Issue 2, Pages 315-323
Quadratic regular reversal maps
1Centro de Investigación en Matemáticas (CIMAT), Guanajuato 36000, Gto., Mexico
2Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Valencia 46022, Spain
Received 13 November 2003
Copyright © 2004 Francisco J. Solis and Lucas Jódar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study families of quadratic maps in an attempt to understand
the role of dependence on parameters of unimodal maps and its
relationship with the computer-generated chaos observed in
numerical simulations. Our specific goal is to give conditions on
this dependence to avoid chaotic situations. We show several
examples that describe in some generality the qualitative
properties of quadratic maps.