244 citations · 289 across the 8 of their papers we have counts for
5 papers · 1 filter
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 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…
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…