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- W4311889435 abstract "We present an application of the full-deautonomisation method to a class of secondorder mappings which, using an ancillary variable, can be cast into a form that greatly facilitates the study of their singularities. The ancillary approach was originally introduced to make it possible to construct discrete Painlevé equations associated with the affine Weyl group E (1) 8 by deautonomising a QRT mapping. The full-deautonomisation method has been shown to offer a practical technique for calculating the exact dynamical degree of a mapping, whereby allowing the detection of discrete integrability using only singularity analysis. We study the confinement property for a given singularity, for a wide class of mappings that includes the autonomous limit of the standard additive Painlevé equation with E (1) 8 symmetry. This leads to a class of non-autonomous mappings, which can be integrable or not, for which we obtain their exact dynamical degrees. The case of a non-confining singularity is also analysed and again we obtain the corresponding dynamical degrees." @default.
- W4311889435 created "2023-01-02" @default.
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- W4311889435 date "2023-01-19" @default.
- W4311889435 modified "2023-09-29" @default.
- W4311889435 title "Full-deautonomisation of a class of second-order mappings in ancillary form" @default.
- W4311889435 doi "https://doi.org/10.46298/ocnmp.10496" @default.
- W4311889435 hasPublicationYear "2023" @default.
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