Bifurcation diagrams of periodic orbits for unbound molecular systems: FH 2

Abstract

We present bifurcation diagrams of periodic orbits for the collinear FH 2 reactive system. The principal families which originate from the van der Waals minima and the saddle point are connected with a number of saddle node bifurcations. Saddle node bifurcations also emerge in the area of the saddle point of the potential function with periodic orbits which bridge the region between reactant and product channels. These saddle node bifurcations appear in a regular pattern with their critical energies of generation converging to a limiting value. Each successive saddle node bifurcation contains periodic orbits which increase by one the number of turning points in the reactant channel.