### Integrable maps which preserve functions with symmetries

**Fordy, A ***(University of Leeds)*

Tuesday 09 July 2013, 14:30-15:00

Seminar Room 1, Newton Institute

#### Abstract

We consider maps which preserve functions which are built out of the invariants of some
simple vector fields. We give a reduction procedure, which can be used to derive commuting maps of the plane, which preserve the same symplectic form and first integral. We show how our method can be applied to some maps which have recently appeared in the context of Yang-Baxter maps.
Based on the paper: A.P. Fordy, P. Kassotakis, Integrable Maps which Preserve Functions
with Symmetries, J Phys A: v46, 205201 (2013)

#### Presentation

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