Mathematical frameworks for oscillatory network dynamics in neuroscience P Ashwin, S Coombes, R Nicks The Journal of Mathematical Neuroscience 6, 1-92, 2016 | 323 | 2016 |
Standing and travelling waves in a spherical brain model: the Nunez model revisited S Visser, R Nicks, O Faugeras, S Coombes Physica D: Nonlinear Phenomena 349, 27-45, 2017 | 52 | 2017 |
Mean-field models for EEG/MEG: from oscillations to waves Á Byrne, J Ross, R Nicks, S Coombes Brain topography 35 (1), 36-53, 2022 | 45 | 2022 |
Symmetric spiral patterns on spheres R Sigrist, P Matthews SIAM Journal on Applied Dynamical Systems 10 (3), 1177-1211, 2011 | 28 | 2011 |
Clusters in nonsmooth oscillator networks R Nicks, L Chambon, S Coombes Physical Review E 97 (3), 032213, 2018 | 24 | 2018 |
Reconciliation of local and global symmetries for a class of crystals with defects GP Parry, R Sigrist Journal of Elasticity 107, 81-104, 2012 | 13 | 2012 |
Understanding sensory induced hallucinations: From neural fields to amplitude equations R Nicks, A Cocks, D Avitabile, A Johnston, S Coombes SIAM Journal on Applied Dynamical Systems 20 (4), 1683-1714, 2021 | 12 | 2021 |
On symmetries of crystals with defects related to a class of solvable groups (S1) R Nicks, GP Parry Mathematics and mechanics of solids 17 (6), 631-651, 2012 | 11 | 2012 |
Insights into oscillator network dynamics using a phase-isostable framework R Nicks, R Allen, S Coombes Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (1), 2024 | 10 | 2024 |
The two-process model for sleep–wake regulation: A nonsmooth dynamics perspective M Şaylı, AC Skeldon, R Thul, R Nicks, S Coombes Physica D: Nonlinear Phenomena 444, 133595, 2023 | 7 | 2023 |
Group elastic symmetries common to continuum and discrete defective crystals R Nicks, G Parry Journal of Elasticity 115 (2), 131-156, 2014 | 7 | 2014 |
Oscillatory networks: Insights from piecewise-linear modeling S Coombes, M Sayli, R Thul, R Nicks, MA Porter, YM Lai SIAM Review 66 (4), 619-679, 2024 | 5 | 2024 |
On symmetries of crystals with defects related to a class of solvable groups (S2) R Nicks, GP Parry Mathematical Methods in the Applied Sciences 35 (15), 1741-1755, 2012 | 5 | 2012 |
Hopf bifurcation on a sphere R Sigrist Nonlinearity 23 (12), 3199, 2010 | 5 | 2010 |
Brain-wave equation incorporating axodendritic connectivity J Ross, M Margetts, I Bojak, R Nicks, D Avitabile, S Coombes Physical Review E 101 (2), 022411, 2020 | 4 | 2020 |
Bifurcations with spherical symmetry R Sigrist University of Nottingham, 2010 | 3 | 2010 |
Phase and amplitude responses for delay equations using harmonic balance R Nicks, R Allen, S Coombes Physical Review E 110 (1), L012202, 2024 | 1 | 2024 |
Insights into oscillator network dynamics using a phase-isostable framework R Nicks, R Allen, S Coombes arXiv preprint arXiv:2310.02725, 2023 | 1 | 2023 |
Brain anatomy and dynamics: A commentary on “Does the brain behave like a (complex) network? I. Dynamics” by Papo and Buldú (2024) S Coombes, R O'Dea, R Nicks Physics of Life Reviews, 2024 | | 2024 |
INSIGHTS INTO NEURAL OSCILLATOR NETWORK DYNAMICS USING A PHASE-ISOSTABLE FRAMEWORK R Allen, R Nicks, S Coombes DSABNS 2024, 89, 2024 | | 2024 |