8 citations · 29 across the 10 of their papers we have counts for
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math-ph2006★ 8 cited
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…
math-ph2006★ 1 cited
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…
math-ph2006★ 8 cited
Invariant varieties of periodic points for some higher dimensional integrable maps
Satoru Saito, Noriko Saitoh
By studying various rational integrable maps on with invariants, we show that periodic points form an invariant variety of dimension for each period…