8 citations · 29 across the 10 of their papers we have counts for
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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…
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…
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…
Hyper-elliptic Nambu flow associated with integrable maps
Satoru Saito, Nokiko Saitoh, Katsuhiko Yoshida
We study hyper-elliptic Nambu flows associated with some dimensional maps and show that discrete integrable systems can be reproduced as flows of this class.