8 citations · 29 across the 10 of their papers we have counts for
10 papers
Degeneration of the Julia set to singular loci of algebraic curves
Satoru Saito, Noriko Saitoh, Hiromitsu Harada +2
We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map…
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…