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Basin Bifurcations in a Two-Dimensional Logistic Map

Daniele Fournier-Prunaret·Ricardo Lopez-Ruiz
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Abstract

Previous works have been devoted to the study of two-dimensional noninvertible maps, obtained using a coupling between one-dimensional logistic maps. This paper is devoted to the study of a specific one, in order to complete previous results (Ref. 5 and 7), regarding the evolution of basins and attractors, when considering the tool of critical manifolds.

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Daniele Fournier-Prunaret, Ricardo Lopez-Ruiz. 2003-04-29. Basin Bifurcations in a Two-Dimensional Logistic Map. https://arxiv.org/abs/nlin/0304059

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