20 citations · 20 across the 2 of their papers we have counts for
3 papers
nlin.PS2015
Finite-time barriers to front propagation in two-dimensional fluid flows
John R. Mahoney, Kevin A. Mitchell
Recent theoretical and experimental investigations have demonstrated the role of certain invariant manifolds, termed burning invariant manifolds (BIMs), as one-way dynamical barrie…
physics.atom-ph2006★ 20 cited
Fractal templates in the escape dynamics of trapped ultracold atoms
Kevin A. Mitchell, Daniel A. Steck
We consider the dynamic escape of a small packet of ultracold atoms launched from within an optical dipole trap. Based on a theoretical analysis of the underlying nonlinear dynamic…
nlin.CD2003
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…