11 citations · 11 across the 1 of their papers we have counts for
3 papers
nlin.CD2004★ 11 cited
Symbolic Codes for Rotational Orbits
Holger R. Dullin, James D. Meiss, David G. Sterling
Symbolic codes for rotational orbits and "islands-around-islands" are constructed for the quadratic, area-preserving Henon map. The codes are based upon continuation from an anti-i…
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…