A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario

The following map is studied: (x,y)→(1+a(|x|−y2)+y,bx). It is proved numerically that this model can display two different chaotic attractors, one is new and the other is a Lozi-type attractor. The new chaotic attractor is allowed via a border-collision period-doubling scenario, which is differen...

Full description

Bibliographic Details
Main Author: Zeraoulia Elhadj
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS.2005.235