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Li–Yorke chaos on one-dimensional map lattices

Abstract In this paper, we consider a special, but important class of one-dimensional coupled map lattices, namely, in which the local dynamics including logistic map as a prototype possesses a snap-back repeller. For smaller coupling strengths, the existence of Li–Yorke scrambled set is proved.

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Bibliografiske detaljer
Main Authors: Lili Wei, Chenxing Zhou
Format: Artigo
Sprog:Inglês
Udgivet: SpringerOpen 2019-05-01
Serier:Advances in Difference Equations
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Online adgang:http://link.springer.com/article/10.1186/s13662-019-1962-2
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