Abstract:
Under fairly general hypotheses, we investigate by elementary methods the structure of the p-periodic orbits of a family h(u) of transformations near (u(0), x(0)) when h(u0) (x(0)) = x(0) and dh(u0) (x(0)) has a simple eigenvalue which is a primitive p-th root of unity. (c) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.