海角黑料

Contact

• workRoom B23 Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514958
• Rachel.Nicks@nottingham.ac.uk

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. Physica D. 349, 27-45
• ASHWIN, PETER, COOMBES, STEPHEN and NICKS, RACHEL, 2016. Journal of mathematical neuroscience. 6(1), 2
• R.NICKS, 2014. Journal of Elasticity: The Physical and Mathematical Science of Solids. 117(2), 189-211
• NICKS, RACHEL and PARRY, GARETH, 2014. 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. Physica D. 349, 27-45
• ASHWIN, PETER, COOMBES, STEPHEN and NICKS, RACHEL, 2016. Journal of mathematical neuroscience. 6(1), 2
• R.NICKS, 2014. Journal of Elasticity: The Physical and Mathematical Science of Solids. 117(2), 189-211
• NICKS, RACHEL and PARRY, GARETH, 2014. 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. Journal of Elasticity. 107(1), 81-104
• NICKS, R. and PARRY, G.P., 2012. Mathematics and Mechanics of Solids. 17(6), 631-651
• PARRY,G.P. AND NICKS,R., 2012. Mathematical Methods in the Applied Sciences. 35, 1741-1755
• SIGRIST, R. and MATTHEWS, P., 2011. SIAM Journal on Applied Dynamical Systems. 10(3), 1177-1211
• SIGRIST, R, 2010. Nonlinearity. 23, 3199-3225