33 citations · 103 across the 14 of their papers we have counts for
4 papers · 1 filter
Bifurcations in inertial focusing of a particle suspended in flow through curved rectangular ducts
Rahil N. Valani, Brendan Harding, Yvonne M. Stokes
Particles suspended in a fluid flow through a curved duct can focus to specific locations within the duct cross-section. This particle focusing is a result of a balance between two…
Fractal Transformations in 2 and 3 Dimensions
Michael Barnsley, Brendan Harding
We present some work relating to fractal transformations on masked iterated function systems and demonstrate how well known algorithms for generating fractal transformations can be…
Homeomorphisms generated from overlapping affine iterated function systems
Michael F. Barnsley, Brendan Harding, Andrew Vince
We develop the theory of fractal homeomorphisms generated from pairs of overlapping affine iterated function systems.
The Entropy of an Overlapping Dynamical System
Michael F. Barnsley, Brendan Harding, Andrew Vince
The term "overlapping" refers to a certain fairly simple type of piecewise continuous function from the unit interval to itself and also to a fairly simple type of iterated functio…