244 citations · 289 across the 8 of their papers we have counts for
8 papers
Loss of Exponential Mixing in a Non-Monotonic Toral Map
Joe Myers Hill, Rob Sturman, Mark C. T. Wilson
We consider a Lebesgue measure preserving map of the 2-torus, given by the composition of orthogonal tent shaped shears. We establish strong mixing properties with respect to the i…
Stability of heteroclinic cycles in rings of coupled oscillators
Claire M. Postlethwaite, Rob Sturman
Networks of interacting nodes connected by edges arise in almost every branch of scientific enquiry. The connectivity structure of the network can force the existence of invariant…
Lyapunov exponents for the random product of two shears
Rob Sturman, Jean-Luc Thiffeault
We give lower and upper bounds on both the Lyapunov exponent and generalised Lyapunov exponents for the random product of positive and negative shear matrices. These types of rando…
A Graph-Theoretic Approach to Efficient Voice-Leading
Susannah Wixey, Rob Sturman
We study the Neo-Riemannian principle of parsimonious voice-leading using tools and techniques from classical graph theory and the modern field of complex networks. We quantify the…
A Parametric Study of Mixing in a Granular Flow a Bi-Axial Spherical Tumbler
Ivan C. Christov, Richard M. Lueptow, Julio M. Ottino +1
We report on a computational parameter space study of mixing protocols for a half-full bi-axial spherical granular tumbler. The quality of mixing is quantified via the intensity of…
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…
Frontiers of chaotic advection
Hassan Aref, John R. Blake, Marko Budišić +20
This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid…
Polynomial decay of correlations in linked-twist maps
J. Springham, R. Sturman
Linked-twist maps are area-preserving, piece-wise diffeomorphisms, defined on a subset of the torus. They are non-uniformly hyperbolic generalisations of the well-known Arnold Cat…