In this article, we study a certain shadowing property on well-known two-dimensional maps presented by Lozi with the y-axis as their singularity set and strange attractors. Our main theorem shows that there exists a nonempty open subset [image omitted] of the Misiurewicz domain [image omitted] such that, for any [image omitted], the Lozi map La, b with strange attractor has the parameter-shifted shadowing property.
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Document Type: Research Article
Department of Mathematics, Kyoto University of Education, Kyoto, Japan
Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
Publication date: September 1, 2007
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