The nature of manifolds of periodic points for higher dimensional integrable maps II

Details The nature of manifolds of periodic points for higher dimensional integrable maps II The nature of manifolds of periodic points for higher dimensional integrable maps II

2005-08-31

arxiv.org/abs/math-ph/0508064v2

Physics

Mathematical Physics

18 pages, content changed to improve

Scientific paper

We study periodicity conditions of a rational map on $\bm{C}^d$ with $p$
invariants and show that a set of isolated periodic points and an algebraic
variety of finife dimension do not exist in one map simultaneously if $p\ge
d/2$. We also discuss in detail how the transition takes place between them.

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