35 citations · 76 across the 8 of their papers we have counts for
8 papers
A direction preserving discretization for computing phase-space densities
David J. Chappell, Jonathan J. Crofts, Martin Richter +1
Ray flow methods are an efficient tool to estimate vibro-acoustic or electromagnetic energy transport in complex domains at high-frequencies. Here, a Petrov-Galerkin discretization…
The role of node dynamics in shaping emergent functional connectivity patterns in the brain
Michael Forrester, Stephen Coombes, Jonathan J. Crofts +2
The contribution of structural connectivity to functional brain states remains poorly understood. We present a mathematical and computational study suited to assess the structure--…
A statistical mechanics description of environmental variability in metabolic networks
Jonathan J Crofts, Ernesto Estrada
Many of the chemical reactions that take place within a living cell are irreversible. Due to evolutionary pressures, the number of allowable reactions within these systems are high…
Spreading dynamics on spatially constrained complex brain networks
Reuben O'Dea, Jonathan J. Crofts, Marcus Kaiser
The study of dynamical systems defined on complex networks provides a natural framework with which to investigate myriad features of neural dynamics, and has been widely undertaken…
Communicability in complex brain networks
Jonathan J. Crofts, Desmond J. Higham
Recent advances in experimental neuroscience allow, for the first time, non-invasive studies of the white matter tracts in the human central nervous system, thus making available c…
On the use of stabilising transformations for detecting unstable periodic orbits in the Kuramoto-Sivashinsky equation
Jonathan J. Crofts, Ruslan L. Davidchack
In this paper we develop further a method for detecting unstable periodic orbits (UPOs) by stabilising transformations, where the strategy is to transform the system of interest in…