Henning Schomerus 1998 J. Phys. A: Math. Gen. 31 4167 doi:10.1088/0305-4470/31/18/008
Henning Schomerus
Show affiliationsWe 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.
65P10 Hamiltonian systems including symplectic integrators
37G15 Bifurcations of limit cycles and periodic orbits
81Q20 Semiclassical techniques including WKB and Maslov methods
Issue 18 (8 May 1998)
Received 12 November 1997, in final form 20 February 1998
Henning Schomerus 1998 J. Phys. A: Math. Gen. 31 4167
Martin Sieber and Henning Schomerus 1998 J. Phys. A: Math. Gen. 31 165
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