Publications

D.-J. Dijk and A. C. Skeldon Sleep homeostasis and models of sleep regulation Chapter 38, Principles and Practice of Sleep Medicine, Ed. Kryger, Roth, Goldstein, Derment Seventh edition, Elsevier (2022).

A. C. Skeldon, D.-J. Dijk, N. Meyer, K. Wulff 'Extracting Circadian and Sleep Parameters from Longitudinal Data in Schizophrenia for the Design of Pragmatic Light Interventions,' Schizophrenia Bulletin, 48 447-456 (2022) journal page .

G. Derks, P. A. Glendinning and A. C. Skeldon, `Creation of discontinuities in circle maps' Proc. Roy. Soc. Lond. A 477 20200872 (2021) journal page.

A. C. Skeldon and D.-J. Dijk `Weekly and seasonal variation in the circadian melatonin rhythm in humans: Entrained to local clock time, social time, light exposure or sun time?' J. Pineal Res. 00:e12746 (2021) journal page.

T. Shochat, N. Santhi, P. Herer, D.-J. Dijk, A. C. Skeldon, `Sleepiness is a signal to go to bed: data and model simulations' SLEEP, 44 zsab123 (2021) journal page.

S. F. Cleator, L. V. Coutts, R. Phillips, R. Turner, D.-J. Dijk, A. C. Skeldon, `Fatigue, Alertness and Risk Prediction for Shift Workers' bioRxiv (2021) journal page.

S. J. Dauncey, P. A. Kelly, D. Baykov, A. C. Skeldon and M. B. Whyte, ` `Rhythmicity of patient flow in an acute medical unit: relationship to hospital occupancy, 7-day working and the effect of COVID-19' ' Q.J. Med. hcaa334 (2021) journal page.

P. Kumar, A. Druckman, J. Gallagher, B. Gaterslebend, S. Allison, T. S.Eisenman, U. Hoang, S.Hama, A. Tiwari, A. Sharma, K. V. Abhijith, D. Adlakha, A McNabola, T. Astell-Burt, X. Feng, A. C. Skeldon, S. de Lusignan and L. Morawskam, `The nexus between air pollution, green infrastructure and human health' Environ. Int. 133 105181 (2019) journal page.

T. Shochat, N. Santhi, P. Herer, S. A. Flavell, A. C. Skeldon and D.-J. Dijk, `Sleep Timing in Late Autumn and Late Spring Associates With Light Exposure Rather Than Sun Time in College Students' Front. Neurosci. 13 882 (2019) journal page.

A. C. Skeldon and D.-J. Dijk, `School start times and daylight saving time confuse California lawmakers' Curr. Biol. 29 R278-R279 (2019) journal page.

J.M. Allen, A.C. Skeldon and R.B. Hoyle, `Social influence preserves cooperative strategies in the conditional cooperator public goods game on a multiplex network' Phys. Rev. E 98 062305 (2018) journal page.

A.C. Skeldon, F. Schiller, A. Yang, T. Balke, A. Penn and N. Gilbert, `Agent-based modelling to predict policy outcomes: a food waste recycling example', Env. Sci. Pol. 87 85-91 (2018) journal page.

M.P. Bailey, G. Derks and A.C. Skeldon, `Circle maps with gaps: understanding the dynamics of the two-process model for sleep-wake regulation', Eur. J. Appl. Math. 29 845-868 (2018) pdf . journal page.

A.C. Skeldon, A.J.K. Phillips and D.-J. Dijk, `The effects of self-selected light-dark cycles and social constraints on human sleep and circadian timing: a modeling approach', Scientific Reports 7 45158 (2017) weblink

A.C. Skeldon, G. Derks and V. Booth, `Nonsmooth maps and the fast-slow dynamics of sleep-wake regulation: Part 2' Research Perspectives CRM Barcelona: Nonsmooth Dynamics 8 171-176 (2017).

A.C. Skeldon and G. Derks, `Nonsmooth maps and the fast-slow dynamics of sleep-wake regulation: Part 1' Research Perspectives CRM Barcelona: Nonsmooth Dynamics 8 167-170 (2017).

S.-A. Thomas, D.J.B. Lloyd and A.C. Skeldon, `Equation-free analysis of agent-based models and systematic parameter determination', Physica A 464 27-53 (2016) weblink

A.C. Skeldon, G. Derks and D.-J. Dijk, `Modelling changes in sleep timing and duration across the lifespan: changes in circadian rhythmicity or sleep homeostasis?', Sleep Med. Rev. 28 92-103 (2016) weblink

D.-J. Dijk and A.C. Skeldon, `Human sleep before the industrial era', Nature, News and Views 527 176-177 (2015) weblink

A.C. Skeldon and A.M. Rucklidge ` Can weakly nonlinear theory explain Faraday wave patterns near onset?', J. Fluid Mech. 777 604-632 (2015) arxiv link weblink

A.M. Chuter, P.J. Aston, A.C. Skeldon and I. Roulstone, `A dynamical systems analysis of the Data Assimilation Linked Ecosystem Carbon (DALEC) models', Chaos 25 036401 (2015) pdf . weblink

A.C. Skeldon D.-J. Dijk and G. Derks, `Mathematical models of sleep-wake dynamics: comparison of the two-process model and a mutual inhibition neuronal model' PLoS ONE 9 e103877 (2014), PLoS ONE link arxiv link

G. Chaffey, D.J.B. Lloyd, A.C. Skeldon and N. Kirkby, `The effect of the G_1 - S transition checkpoint on an age-structured cell cycle model', PLoS ONE 9 e83477 (2014) weblink

A.C. Skeldon, G. Chaffey, D.J.B. Lloyd, V. Mohan, D.A. Bradley and A. Nisbet, `Modelling and detecting tumour oxygenation levels', PLoS ONE 7 e38597 (2012) weblink

A.M. Rucklidge, M. Silber and A.C. Skeldon, `Three-wave interactions and spatio-temporal chaos', Phys. Rev. Lett. 108 074505 (2012) pdf . arxiv link

A.C. Skeldon and J. Porter, `Scaling properties of weakly nonlinear coefficients in the Faraday problem', Phys. Rev. E 84 016209 (2011). pdf .

H. Shiozawa, A.C. Skeldon, D.J.B. Lloyd, V. Stolojan, D.C. Cox and S.R.P. Silva, `Spontaneous emergence of long-range shape symmetry', Nano Lett. 11 160-163 (2010). pdf with supplementary material, pdf

N. Robertson and A.C. Skeldon, `Patterns in a non-local reaction diffusion equation', pdf .

P.G. Daniels, D. Ho and A.C. Skeldon, `Nonlinear wavelength selection for pattern-forming systems in channels', IMA J. of Applied Maths. 73 873-901 (2008). pdf

N. Meejun, A.C. Skeldon, U. Tuzun and C. O'Sullivan, `Wavelet analysis of DEM simultations of planar biaxial strain', Granular Matter, 10 389-398 (2008). pdf

A.C. Skeldon and G. Guidoboni, `Pattern selection for Faraday waves in an incompresible viscous fluid', SIAM J. of Appl. Math. 67 1064-1100 (2007), pdf

A.C. Skeldon and I. Purvey, `The effect of different forms for the delay in a model of the nephron', Mathematical Biosciences and Engineering 2 97-109 (2005), pdf

P.G. Daniels, D. Ho and A.C. Skeldon, `Solutions for nonlinear convection in the presence of a lateral boundary', Physica D, 178 83-102 (2003), pdf

M. Silber, C. Topaz and A.C. Skeldon, `Two-frequency forced Faraday waves: weakly damped modes and pattern selection', Physica D 143 205-225 (2000). pdf

M. Silber and A.C. Skeldon, `Parametrically excited surface waves: two-frequency forcing, normal form symmetries and pattern selection', Phys. Rev. E 59 5446-5456 (1999), pdf

A.C. Skeldon and M. Silber, `New stability results for patterns in a model of long-wavelength convection patterns', Physica D 122 117-133 (1998), pdf

A.C. Skeldon and I.M. Moroz, `On a codimension three bifurcation arising in a simple dynamo model', Physica D 117 117-127 (1998), pdf

M. Braunsfurth, A.C. Skeldon, A. Juel, T. Mullin and D.S. Riley, `Convection in liquid Gallium', J. Fluid Mech. 342 295-314 (1997).

B. Dionne, M. Silber and A.C. Skeldon, `Stability results for steady, spatially-periodic planforms', Nonlinearity 103 321-354 (1997), pdf

A.C. Skeldon, K.A. Cliffe and D.S. Riley, `On the computation of hexagon-roll interactions using a finite element method', J. Comp. Phys. 133 18-26 (1997).

R. Hide, A.C. Skeldon and D. Acheson, `A study of two novel self-exciting single disk homopolar dynamos: theory.' Proc. Roy. Soc. Lond. A 452 1369-1395 (1996).

A.C. Skeldon, D.S. Riley and K.A. Cliffe, `Convection in a low Prandtl number fluid', J. Crystal Growth 162 95-106, (1996).

A.C. Skeldon, G.B. McFadden, M.D. Impey, D.S. Riley, K.A. Cliffe, A.A. Wheeler and S.H. Davis, `On long-wave morphological instabilities in directional solidification.' Eur. J. App. Math. 6 639-652 (1995).

A.C. Skeldon, `Dynamics of a parametrically excited double pendulum.' Physica D 75 541-558 (1994).

A.C. Skeldon and T.Mullin, `Mode interaction in a double pendulum'. Phys. Lett. A 166 224-229 (1992).

D. Pottinger, S. Todd, I. Rodrigues, T. Mullin and A.C. Skeldon, `Phase portraits for parametrically excited double pendula: an exercise in multidimensional data visualisation', IBM internal report (UKSC 213) April 1990. This has subsequently appeared in Comput. and Graphics 16 331-337 (1992).

A.C. Skeldon, T. Mullin and D. Pottinger, `The five-dimensional pendulum picture show': a section in Professor I. Stewart's article in New Scientist (4th Nov. 1989). This article has reappeared in `The New Scientist Guide to Chaos' (Penguin, 1991 ed. Nina Hall), pp 53-55.