Schomerus, Henning (1998) Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions. Journal of Physics A-Mathematical and General, 31. pp. 4167-9262.
We investigate classical and semiclassical aspects of codimension-two bifurcations of periodic orbits in Hamiltonian systems. A classification of these bifurcations in autonomous systems with two degrees of freedom or time-periodic systems with one degree of freedom is presented. We derive uniform approximations to be used in semiclassical trace formulae and determine also certain global bifurcations in conjunction with Stokes transitions that become important in the ensuing diffraction catastrophe integrals.
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