Time-delay coordinates and polynomial mappings |
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Authors: | Mark Pollicott |
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Institution: | Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK |
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Abstract: | The use of time-delay coordinates to reconstruct mappings is well known and provides an important practical tool in studying real-world problems. In this note we formulate the underlying mathematical analysis in the natural context of polynomial mappings and real analytic systems. This is particularly well adapted to systems defined by simple algebraic equations where, unlike in the general case, we do not require techniques from differential geometry. |
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Keywords: | 58F |
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