Different Approaches to the Global Periodicity Problem
Different Approaches to the Global Periodicity Problem
Let F be a real or complex n-dimensional map. It is said that F is globally periodic if there exists some $$p\in \mathbb {N}^+$$ such that $$F^p(x)=x$$ for all x, where $$F^k=F\circ F^{k-1}$$ , $$k\ge 2.$$ The minimal p satisfying this property is called the period of F. Given a …