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math.DS2018★ 7 cited
Cutting and shuffling with diffusion: Evidence for cut-offs in interval exchange maps
Mengying Wang, Ivan C. Christov
Low-dimensional dynamical systems are fruitful models for mixing in fluid and granular flows. We study a one-dimensional discontinuous dynamical system (termed "cutting and shuffli…
math.DS2014★ 20 cited
A Study in Three-Dimensional Chaotic Dynamics: Granular Flow and Transport in a Bi-Axial Spherical Tumbler
Ivan C. Christov, Richard M. Lueptow, Julio M. Ottino +1
We study 3D chaotic dynamics through an analysis of transport in a granular flow in a half-full spherical tumbler rotated sequentially about two orthogonal axes (a bi-axial "blinki…