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...
| Main Author: | |
|---|---|
| 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 |
| Summary: | 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. |
|---|---|
| ISSN: | 1026-0226 1607-887X |