Abstract
This text considers the embedding of a Dim1 piecewise continuous and piecewise linear map family, studied by Leonov in the years 1960, into a Dim 2 invertible map. The embedding is of Hénon’s map type. After having reminded the reader of Leonov’s results, the existence domains of different attracting sets are determined in a parameter plane for positive and negative values of the embedding parameter.
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Professor Laura Gardini corrected some imperfections of this text.
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Mira, C. (2013). Embedding of a Dim1 Piecewise Continuous and Linear Leonov Map into a Dim2 Invertible Map. In: Bischi, G., Chiarella, C., Sushko, I. (eds) Global Analysis of Dynamic Models in Economics and Finance. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29503-4_13
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