20 citations · 26 across the 3 of their papers we have counts for
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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…
physics.flu-dyn2020
Transport barriers to self-propelled particles in fluid flows
Simon A. Berman, John Buggeln, David A. Brantley +2
We present theory and experiments demonstrating the existence of invariant manifolds that impede the motion of microswimmers in two-dimensional fluid flows. One-way barriers are ap…
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…