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 |
| Published: |
Wiley
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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| _version_ | 1832562485039726592 |
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| author | Zeraoulia Elhadj |
| author_facet | Zeraoulia Elhadj |
| author_sort | Zeraoulia Elhadj |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-969c1bed4cf84285993e705e3291a49a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-969c1bed4cf84285993e705e3291a49a2025-02-03T01:22:32ZengWileyDiscrete 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 |
| spellingShingle | Zeraoulia Elhadj A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario Discrete Dynamics in Nature and Society |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/DDNS.2005.235 |
| work_keys_str_mv | AT zeraouliaelhadj anewchaoticattractorfrom2ddiscretemappingviabordercollisionperioddoublingscenario AT zeraouliaelhadj newchaoticattractorfrom2ddiscretemappingviabordercollisionperioddoublingscenario |