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

Zeraoulia Elhadj

Discrete Dynamics in Nature and Society, 2005, vol. 2005, 1-4

Abstract:

The following map is studied: ( x , y ) → ( 1 + a ( | x | − y 2 ) + y , b x ) . 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:275620

DOI: 10.1155/DDNS.2005.235

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