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nlin.CD2020
Topological Dynamics of Volume-Preserving Maps Without an Equatorial Heteroclinic Curve
Joshua G. Arenson, Kevin A. Mitchell
Understanding the topological structure of phase space for dynamical systems in higher dimensions is critical for numerous applications, including the computation of chemical react…
nlin.CD2020
Trapping of swimmers in a vortex lattice
S. A. Berman, K. A. Mitchell
We examine the motion of rigid, ellipsoidal swimmers subjected to a steady vortex flow in two dimensions. Numerical simulations of swimmers in a spatially periodic array of vortice…
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…