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Parameter-shifted shadowing property of Lozi maps

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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

Affiliations: 1: Department of Mathematics, Kyoto University of Education, Kyoto, Japan 2: Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan

Publication date: September 1, 2007

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