Publications

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.