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In this work we analyze the bifurcation of dividing surfaces that occurs as aresult of a pitchfork bifurcation of periodic orbits in a two degrees offreedom Hamiltonian System. The potential energy surface of the system that weconsider has four critical points: two minima, a high energy saddle and a lowerenergy saddle separating two wells (minima). In this paper we study thestructure, the range, and the minimum and maximum extent of the periodic orbitdividing surfaces of the family of periodic orbits of the lower saddle as afunction of the total energy.

Bifurcation of dividing surfaces constructed from a pitchfork  bifurcation of periodic orbits in a symmetric potential energy surface with a  post-transition-state bifurcation