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arXiv · solv-int/9402001

Non Proliferation of Preimages in Integrable Mappings

B. Grammaticos·A. Ramani·K. M. Tamizhmani
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Abstract

We present an integrability criterion for rational mappings based on two requirements. First, that a given point should have a unique preimage under the mapping and, second, that the spontaneously appearing singularities be confined to a few iteration steps. We present several examples of known integrable mappings that meet these requirements and, also, use our algorithm in order to derive new examples of integrable mappings.

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B. Grammaticos, A. Ramani, K. M. Tamizhmani. 1994-02-10. Non Proliferation of Preimages in Integrable Mappings. https://doi.org/10.1088/0305-4470%2F27%2F2%2F037

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