On recurrence equations associated with invariant varieties of periodic points

Abstract

A recurrence equation is a discrete integrable equation whose solutions are all periodic and the period is fixed. We show that infinitely many recurrence equations can be derived from the information about invariant varieties of periodic points of higher dimensional integrable maps.

14 pages

References in corpus (1)

• Invariant varieties of periodic points for some higher dimensional integrable maps

Cited by in corpus (4)

• Derivation of Invariant Varieties of Periodic Points from Singularity Confinement in the case of Toda Map
• Lie Symmetries of Birational Maps Preserving Genus 0 Fibrations
• Degeneration of the Julia set to singular loci of algebraic curves
• Derivation of Higher Dimensional Periodic Recurrence Equations by Nested Structure of Complex Numbers