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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
American Institute of Physics Inc.
2022
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Online Access: | View Fulltext in Publisher |