Discrete Dynamics in Nature and Society
Volume 2004 (2004), Issue 2, Pages 315-323
doi:10.1155/S1026022604311015
Quadratic regular reversal maps
Francisco J. Solis1
and Lucas Jódar2
1Centro de Investigación en Matemáticas (CIMAT), Guanajuato 36000, Gto., Mexico
2Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Valencia 46022, Spain
Abstract
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.