51 citations · 91 across the 2 of their papers we have counts for
2 papers
nlin.CD2003★ 40 cited
Geometry and Topology of Escape II: Homotopic Lobe Dynamics
K. A. Mitchell, J. P. Handley, S. K. Knudson +1
We continue our study of the fractal structure of escape-time plots for chaotic maps. In the preceding paper, we showed that the escape-time plot contains regular sequences of succ…
nlin.CD2003★ 51 cited
Geometry and Topology of Escape I: Epistrophes
K. A. Mitchell, J. P. Handley, B. Tighe +2
We consider a dynamical system given by an area-preserving map on a two-dimensional phase plane and consider a one-dimensional line of initial conditions within this plane. We reco…