Rachel Nicks

Contact

• workRoom B23 Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514958
• Rachel.Nicks@nottingham.ac.uk
• http://www.maths.nottingham.ac.uk/personal/pmzrs1/

Research Summary

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

Recent Publications

• S VISSER, R NICKS, O FAUGERAS and S COOMBES, 2017. Standing and travelling waves in a spherical brain model: the Nunez model revisited Physica D. 349, 27-45
• 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

• View all publications

Current Research

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.

Past Research

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.

• S VISSER, R NICKS, O FAUGERAS and S COOMBES, 2017. Standing and travelling waves in a spherical brain model: the Nunez model revisited Physica D. 349, 27-45
• 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
• NICKS,R and PARRY,G.P., 2013. Geometrical Issues in the Continuum Mechanics of Defective Solid Crystals Miskolc Mathematical Notes. 14(2), 445-458
• PARRY, G.P. and SIGRIST, R., 2012. Reconciliation of local and global symmetries for a class of crystals with defects Journal of Elasticity. 107(1), 81-104
• NICKS, R. and PARRY, G.P., 2012. On symmetries of crystals with defects related to a class of solvable groups (S₁) Mathematics and Mechanics of Solids. 17(6), 631-651
• PARRY,G.P. AND NICKS,R., 2012. On symmetries of crystals with defects related to a class of solvable groups (S sub 2) . Mathematical Methods in the Applied Sciences. 35, 1741-1755
• SIGRIST, R. and MATTHEWS, P., 2011. Symmetric spiral patterns on spheres SIAM Journal on Applied Dynamical Systems. 10(3), 1177-1211
• SIGRIST, R, 2010. Hopf bifurcation on a sphere Nonlinearity. 23, 3199-3225