Towards economic and monetary union: changing trends in payment systems for new european members

The objective of this paper is precisely to study the evolution of payment systems within the accession countries between 1996 and 2003 and compare them with those of the E.U. and the Eurozone countries

European payment system and monetary union

We make a comparative study of payment systems for E.U. -fifteen countries for the 1996-2002 period. Special attention is paid to the introduction of the new European single currency. The overall trend in payments is for a move from cash to noncash payment instruments, although electronic instruments are not widely used yet. We find a significant impact from the introduction of the new banknotes and coins on card use

Families of periodic horseshoe orbits in the restricted three-body problem

We compute families of symmetric periodic horseshoe orbits in the restricted three-body problem. Both the planar and three-dimensional cases are considered and several families are found.We describe how these families are organized as well as the behavior along and among the families of parameters such as the Jacobi constant or the eccentricity. We also determine the stability properties of individual orbits along the families. Interestingly, we find stable horseshoe-shaped orbit up to the quite high inclination of 17◦

A Note on the periodic orbits and topological entropy of graph maps

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits