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chao-dyn1999
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…
chao-dyn1999
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…