1 citations · 1 across the 2 of their papers we have counts for
5 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…