We prove the existence of the critical fixed point (F, G) for MacKay’s ren- ormalization operator for pairs of maps of the plane. The maps F and G commute, are area-preserving, reversible, real analytic, and they satisfy a twist condition.
The critical renormalization fixed point for commuting pairs of area-preserving maps
ARIOLI, GIANNI;
2010-01-01
Abstract
We prove the existence of the critical fixed point (F, G) for MacKay’s ren- ormalization operator for pairs of maps of the plane. The maps F and G commute, are area-preserving, reversible, real analytic, and they satisfy a twist condition.File in questo prodotto:
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