Robust Devaney chaos in the two-dimensional border-collision normal form

The collection of all non-degenerate, continuous, two-piece, piecewise-linear maps on R 2 can be reduced to a four-parameter family known as the two-dimensional border-collision normal form. We prove that throughout an open region of parameter space, this family has an attractor satisfying Devaney&#...

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Bibliographic Details
Main Authors: Ghosh, I. (Author), Simpson, D.J.W (Author)
Format: Article
Language:English
Published: American Institute of Physics Inc. 2022
Online Access:View Fulltext in Publisher