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...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2005-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS.2005.235 |
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doaj-969c1bed4cf84285993e705e3291a49a2020-11-24T23:32:24ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2005-01-012005323523810.1155/DDNS.2005.235A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenarioZeraoulia Elhadj0Department of Mathematics, University of Tébéssa, Tébéssa 12000, AlgeriaThe 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.http://dx.doi.org/10.1155/DDNS.2005.235 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zeraoulia Elhadj |
| spellingShingle |
Zeraoulia Elhadj A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario Discrete Dynamics in Nature and Society |
| author_facet |
Zeraoulia Elhadj |
| author_sort |
Zeraoulia Elhadj |
| title |
A new chaotic attractor from 2D discrete mapping
via border-collision period-doubling scenario |
| title_short |
A new chaotic attractor from 2D discrete mapping
via border-collision period-doubling scenario |
| title_full |
A new chaotic attractor from 2D discrete mapping
via border-collision period-doubling scenario |
| title_fullStr |
A new chaotic attractor from 2D discrete mapping
via border-collision period-doubling scenario |
| title_full_unstemmed |
A new chaotic attractor from 2D discrete mapping
via border-collision period-doubling scenario |
| title_sort |
new chaotic attractor from 2d discrete mapping
via border-collision period-doubling scenario |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2005-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/DDNS.2005.235 |
| work_keys_str_mv |
AT zeraouliaelhadj anewchaoticattractorfrom2ddiscretemappingviabordercollisionperioddoublingscenario AT zeraouliaelhadj newchaoticattractorfrom2ddiscretemappingviabordercollisionperioddoublingscenario |
| _version_ |
1725534379280695296 |