Deautonomization by singularity confinement: an algebro-geometric justification

DOI10.1098/rspa.2014.0956zbMath1371.39011arXiv1412.3883OpenAlexW3101492866MaRDI QIDQ5363428

Takafumi Mase, Ralph Willox, Alfred Ramani, Basile Grammaticos

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3883

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Discrete version of topics in analysis (39A12)

Related Items (11)

Singularity analysis and bilinear approach to some Bogoyavlensky equations ⋮ Multiplicative equations related to the affine Weyl group E8 ⋮ Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case ⋮ A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group ⋮ Some integrable maps and their Hirota bilinear forms ⋮ Integrable mappings and the notion of anticonfinement ⋮ Toda type equations over multi-dimensional lattices ⋮ Linearisable mappings, revisited ⋮ Calculating algebraic entropies: an express method ⋮ On the singularities of the discrete Korteweg–deVries equation ⋮ Singularity confinement and full-deautonomisation: a discrete integrability criterion

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