Widening Access to Higher Education through Partnership Working

This chapter considers the policy and practice of partnership working amongst educational organisations and related service providers as a means of promoting social inclusion in higher education (HE). It draws on an empirical study of partnership working in an area of England which has low levels of participation in HE, consistently performs poorly in national measures of educational achievement, and contains pockets of severe economic and social deprivation. The empirical research focuses on the work of senior managers from seventeen organisations who formed a sub-regional partnership as a strategy to raise aspirations, widen participation in HE and promote social inclusion.

The Helmholtzian Equation: Stabilizing Mechanisms for Quadratic Nonlinear Fields

Hexagonal Resonant Triad patterns are shown to exist as stable solutions of a particular type of nonlinear field where no cubic field nonlinearity is present. The zero ‘dc’ Fourier mode is shown to stabilize these patterns produced by a pure quadratic field nonlinearity. Closed form solutions and stability results are obtained near the critical point, complimented by numerical studies far from the critical point. These results are obtained using a neural field based on the Helmholtzian operator. Constraints on structure and parameters for a general pure quadratic neural field which supports hexagonal patterns are obtained.