arXiv (Cornell University) · 2007 · 23 citations · 6 references
Natural SciencesMathematicsComplex SystemsDifferential EquationsDynamical SystemsGroup TheoryIntegrable SystemsLie GroupsMulti-degree-of-freedom SystemsSymmetry BreakingSymplectic GeometryAffine Symmetry GroupsGauge SymmetriesPainlevé EquationsSymmetriesSymmetry AnalysisWeyl Groups
We give a reformulation of a six-parameter family of coupled Painlevé VI systems with affine Weyl group symmetry of type $D_6^{(1)}$ from the viewpoint of its symmetry and holomorphy properties.
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Some remarkable nonlinear transformations
Allan P. Fordy, John Gibbons · Physics Letters A · 1980 · 154 citations
Affine Weyl groups, discrete dynamical systems and Painleve equations