Once more on Henon map: Analysis of bifurcations

Using the analysis of bifurcations approach the detailed description of bifurcation phenomena in the classical Henon map is presented. This description strongly supports the idea that the Henon map contains all possible bifurcation phenomena known for two-dimensional discrete maps. It is interesting to note that the existence of two different equilibria in the Henon map generates additional - dual - appearance of bifurcation phenomena. The proposed analysis can serve as a prototype of the bifurcation analysis for finite-dimensional iterative processes with multiple equilibria. Copyright (C) 1996 Elsevier Science Ltd.