We study the control of modulational instability and pattern formation in a nonlinear dissipative feedback system with a periodic modulation of the material refractive index. We use a one-dimensional photonic lattice in a single-mirror feedback configuration and identify three mechanisms for pattern control: bandgap suppression of instability modes, periodicity induced pattern modes, and orient...

We present some numerical results obtained from a simple individual-based model that describes clustering of organisms caused by competition. Our aim is to show that, even when a deterministic description developed for continuum models predicts no pattern formation, an individual-based model displays well-defined patterns, as a consequence of fluctuation effects caused by the discrete nature of...

This article provides a centennial overview of the Irish economy in one hundred years following partition and independence. A comparative perspective allows us to distinguish between those aspects policies performance that were unique country, which mirrored developments elsewhere. While was typical long run, country under-performed prior mid-1980s over-performed for rest twentieth century. Rea...

There is a range of evidence that informs us about the organisation of the Achaemenid Empire, but our understanding ofthe eastern-most reaches of the empire, which lie within the bounds of modern-day Pakistan is relatively limited. Whilethere is evidence for the eastern provinces in imperial art and references to them in Achaemenid Royal inscriptions, thearchaeological record in the subcontinen...