245 citations · 341 across the 9 of their papers we have counts for
3 papers · 1 filter
Homoclinic Bifurcations for the Henon Map
D. G. Sterling, H. R. Dullin, J. D. Meiss
Chaotic dynamics can be effectively studied by continuation from an anti-integrable limit. We use this limit to assign global symbols to orbits and use continuation from the limit…
Generic Twistless Bifurcations
H. R. Dullin, J. D. Meiss, D. Sterling
We show that in the neighborhood of the tripling bifurcation of a periodic orbit of a Hamiltonian flow or of a fixed point of an area preserving map, there is generically a bifurca…
Triaxial Ellipsoidal Quantum Billiards
Holger Waalkens, Jan Wiersig, Holger R. Dullin
The classical mechanics, exact quantum mechanics and semiclassical quantum mechanics of the billiard in the triaxial ellipsoid is investigated. The system is separable in ellipsoid…