A new chaotic attractor from 2D discrete mappingvia border‐collision period‐doubling scenario | Zendy

Zeraoulia Elhadj | Zendy

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A new chaotic attractor from 2D discrete mappingvia border‐collision period‐doubling scenario

Author(s) -

Zeraoulia Elhadj

Publication year - 2005

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/ddns.2005.235

Subject(s) - attractor , chaotic , period doubling bifurcation , collision , bifurcation , period (music) , mathematics , statistical physics , mathematical analysis , physics , computer science , nonlinear system , artificial intelligence , quantum mechanics , computer security , acoustics

The following map is studied:(x,y)→(1+a(|x|−y2)+y,bx). It is proved numericallythat this model can display two different chaotic attractors, one is newand the other is a Lozi-type attractor. The new chaotic attractoris allowed via a border-collision period-doubling scenario, whichis different from the classical period-doubling bifurcation

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