ONCE MORE ON HENON MAP - ANALYSIS OF BIFURCATIONS

Using the analysis of bifurcations approach the detailed description o f 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 map s. It is interesting to note that the existence of two different equil ibria in the Henon map generates additional - dual - appearance of bif urcation phenomena. The proposed analysis can serve as a prototype of the bifurcation analysis for finite-dimensional iterative processes wi th multiple equilibria. Copyright (C) 1996 Elsevier Science Ltd.