Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 2005 / Article

Open Access

Volume 2005 |Article ID 275620 | 4 pages | https://doi.org/10.1155/DDNS.2005.235

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

Received12 Apr 2005


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 different from the classical period-doubling bifurcation.

Copyright © 2005 Hindawi Publishing Corporation. 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.

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