Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.
Exact solutions for the dynamics of interacting memristors predict whether they relax to higher or lower resistance states given random initialisations.
Memristive networks preserve memory and have the ability to learn according to analysis of the network’s internal memory dynamics.
Processes believed to stabilize financial markets can drive them towards instability by creating cyclical structures that amplify distress.
An extension of the Kelly criterion maximises the growth rate of multiplicative stochastic processes when limited resources are available.
The community matrix of a complex ecosystem captures the population dynamics of interacting species and transitions to unstable abundances.
Dynamical systems theory predicts the growth potential of countries with heterogeneous patterns of evolution where regression methods fail.
Coupled non-linear maps extract information about the competitiveness of countries to the complexity of their products from trade data.
Of the 256 elementary cellular automata, 28 of them exhibit random behavior over time, but spatio-temporal currents still lurk underneath.
Rapid temperature cycling from one extreme to another affects the rate at which the mean particle size in solid or liquid solutions changes.