My research interests lie in the area of nonlinear dynamical systems, in particular the role of symmetry in predicting the patterns of behaviour which solutions to nonlinear dynamical systems may… read more
ASHWIN, PETER, COOMBES, STEPHEN and NICKS, RACHEL, 2016. Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience. Journal of mathematical neuroscience. 6(1), 2 R.NICKS, 2014. A Classification of the Symmetries of Uniform Discrete Defective Crystals Journal of Elasticity: The Physical and Mathematical Science of Solids. 117(2), 189-211
NICKS, RACHEL and PARRY, GARETH, 2014. Group Elastic Symmetries Common to Continuum and Discrete Defective Crystals JOURNAL OF ELASTICITY. 115(2), 131-156
My research interests lie in the area of nonlinear dynamical systems, in particular the role of symmetry in predicting the patterns of behaviour which solutions to nonlinear dynamical systems may exhibit. My most recent work involves the application of nonlinear dynamics techniques to problems in Mathematical Neuroscience. This includes analysis of global and localized patterned states in neural field models and the interplay between node dynamics and network symmetry in emergent network dynamics.
I have also worked on the application of Lie group theory to the study of solid crystals with defects. The connection between the structure of crystals with constant dislocation density and the theory of Lie groups allows for the generalization of well-known symmetry properties of perfect crystals to the case of crystals with uniform distributions of defects.