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Persistent two-dimensional strange attractors for a two-parameter family of Expanding Baker Maps

Persistent two-dimensional strange attractors for a two-parameter family of Expanding Baker Maps

<p style='text-indent:20px;'>We characterize the attractors for a two-parameter class of two-dimensional piecewise affine maps. These attractors are strange attractors, probably having finitely many pieces, and coincide with the support of an ergodic absolutely invariant probability measure. Moreover, we demonstrate that every compact invariant set with non-empty interior contains one of …