4 papers · 1 filter
On recurrence equations associated with invariant varieties of periodic points
Satoru Saito, Noriko Saitoh
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 f…
Invariant Varieties of Periodic Points for the Discrete Euler Top
Satoru Saito, Noriko Saitoh
The behaviour of periodic points of discrete Euler top is studied. We derive invariant varieties of periodic points explicitly. When the top is axially symmetric they are specified…
The nature of manifolds of periodic points for higher dimensional integrable maps II
Satoru Saito, Noriko Saitoh
We study periodicity conditions of a rational map on with invariants and show that a set of isolated periodic points and an algebraic variety of finife dimension do…
The nature of manifolds of periodic points for higher dimensional integrable maps
Satoru Saito, Noriko Saitoh
By studying periodic points for rational maps on with invariants, we show that they form an invariant variety of dimension if the periodicity conditions are `ful…