Preprints:
  • S Falconer, N Santitissadeekorn, DJB Lloyd, Tracking and forecasting oscillatory data streams using Koopman autoencoders and Kalman filtering, submitted (2024), preprint, pdf.
  • JJ Bramburger, DJ Hill, DJB Lloyd, Localized Multi-Dimensional Patterns, submitted (2024), preprint, pdf.
  • DJ Hill, DJB Lloyd, Radial amplitude equations for fully localised planar patterns submitted (2024), preprint, pdf
  • N Santitissadeekorn, MB Short, DJB Lloyd, Influence network reconstruction from discrete time-series of count data modelled by multi-dimensional Hawkes processes, submitted (2023), preprint.
Publications:
  1. DJ Hill, J Bramburger, DJB Lloyd, Dihedral rings of patterns emerging from a Turing bifurcation. Nonlinearity 37 035015 (2024), preprint pdf, codes. (39 pages)
  2. C Brown, G Derks, Pv Heijster, and DJB Lloyd, Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system. Nonlinearity 36 6839-6878 (2023), pdf.
  3. T Rossides, DJB Lloyd, S Zelik, MR Turner, The dynamics of interacting multi-pulses in the one-dimensional quintic complex Ginzburg-Landau equation. SIAM J. Appl. Dan. Syst. Vol. 22, No. 3, pp. 2242--2281 (2023), pdf. (39 pages)
  4. S Falconer, N Santitissadeekorn, DJB Lloyd, Combining Dynamic Mode Decomposition with Ensemble Kalman Filtering for Tracking and Forecasting. Physica D (2023), pdf.
  5. DJ Hill, J Bramburger, DJB Lloyd, Approximate Localised Dihedral Patterns Near a Turing Instability. pdf, codes. Nonlinearity (2023) 36 2567. (65 pages)
  6. N Santitissadeekorn, S Delahaies, DJB Lloyd, Uncertainty quantification of an influence network by an ensemble-based filtering for Hawkes process driven by count data. Physica D (2023) Volume 447, 133676, pdf.
  7. DJ Hill, DJB Lloyd, MR Turner, Localised Radial Patterns on the Free Surface of a Ferrofluid, Journal of Nonlinear Science, (2021) 31:79, (2021), pdf. (99 pages)
  8. DJB Lloyd, Hexagon Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift-Hohenberg Equation. SIAM J. Appl. Dyn. Syst., 20(2), pp. 671-700 (2021), pdf. Code. (29 pages) Paper highlighted in SIAM Brooke Benjamin Prize 2024.
  9. C Willers, U Thiele, A Archer, DJB Lloyd, and O Kamps, Adaptive stochastic continuation with a modified lifting procedure applied to complex systems, PRE 102, 032210 (2020), pdf.
  10. N Santitissadeekorn, DJB Lloyd, MB Short, S Delahaies, Approximate Filtering of conditional intensity process for Poisson count data: application to Urban Crime, Computational Statistics & Data Analysis, 144, 106850 (2020), pdf.
  11. DJB Lloyd, Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift-Hohenberg Equation. SIAM J. Appl. Dyn. Syst., 18(4), 1892–1933 (2019), pdf.
  12. J Brooks, G Derks, DJB Lloyd, Existence of stationary fronts in a system of two coupled wave equations with spatial inhomogeneity. Nonlinearity 32 (2019) 4147–4187, pdf.
  13. N Santitissadeekorn, MB Short, DJB Lloyd, Sequential data assimilation for 1D self-exciting processes with application to urban crime data. Computational Statistics & Data Analysis, 128, pp 163-183, (2018), pdf.
  14. MD Groves, DJB Lloyd, A Stylianou, Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation. Physica D, 350, pp1-12, (2017), pdf.
  15. DJB Lloyd, A Scheel, Continuation and Bifurcation of Grain Boundaries in the Swift-Hohenberg Equation. SIAM Journal on Applied Dynamical Systems, 16(1), pp 252-293, (2017), pdf.
  16. SA Thomas, DJB Lloyd, and AC Skeldon, Equation-free analysis of agent-based models and systematic parameter determination. Physica A: Statistical Mechanics and its Applications, Volume 464, Pages 27–53 (2016), pdf.
  17. MK Wadee, DJB Lloyd and AP Bassom, On the interaction of uni-directional and bi-directional buckling of a plate supported by an elastic foundation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 1-20, 472(2188) (2016), pdf.
  18. DJB Lloyd, N Santitissadeekorn, MB Short, Exploring data assimilation and forecasting issues for an urban crime model. EJAM Special Issue on crime and security, volume 27, issue 03, pp. 451-478 (2016), pdf.
  19. AS Penn, CJK Knight, G Chalkias, APM Velenturf, DJB Lloyd, Extending Participatory Fuzzy Cognitive Mapping with a Control Nodes Methodology: a case study of the development bio-based economy in the Humber region, UK. Refereed Book Chapter in Including Stakeholders in Environmental Modeling: Considerations, Methods and Applications Edited by S Gray, S Gray, R Jordan, & M Pallisimio. (2016),
  20. DJB Lloyd, C Gollwitzer, I Rehberg, and R Richter, Homoclinic snaking near the surface instability of a polarizable fluid. J. Fluid Mechanics (783), 283-305 (2015), pdf.
  21. T Rossides, DJB Lloyd, S Zelik, Computing interacting multi-kinks in one dimensional Real Ginzburg Landau Equations, Springer J. Scientific Computing, Volume 63, Issue 3, pp 799-819, (2014), pdf
  22. J Rowden, DJB Lloyd, N Gilbert, A Model of Political Voting Behaviours across Different Countries, Physica A, 413 (2014) 609-625, pdf
  23. J Rankin, D Avitabile, J Baladron, G Faye, and DJB Lloyd, Continuation of Localised Coherent Structures in Nonlocal Neural Field Equations, SIAM Journal of Scientific Computing, 36(1), B70–B9, (2014), pdf.
  24. CJK Knight, DJB Lloyd, and AS Penn, Linear and Sigmoidal Fuzzy Cognitive Maps: an Analysis of Fixed Points, Applied Soft Computing, 15 (2014) 193-202, pdf.
  25. GS Chaffey, DJB Lloyd, AC Skeldon and NF Kirkby, The effect of the G1 - S transition checkpoint on an age structured cell cycle model, PLoS One 9(1):83477 (2014), doi: 10.1371/journal.pone.0083477, pdf.
  26. AS Penn, CJK Knight, DJB Lloyd, D Avitabile, K Kok, F Schiller, A Woodward, A Druckman, and L Basson, Participatory Development and Analysis of a Fuzzy Cognitive Map of the Establishment of a Bio-based Economy in the Humber Region, PLoS ONE 8(11): e78319 (2013). doi:10.1371/journal.pone.0078319, pdf.
  27. G Faye, J Rankin and DJB Lloyd, Localized radial bumps of a neural field equation on the Euclidean plane and the Poincare disk, Nonlinearity 26 (2013) 437-478, pdf
  28. DJB Lloyd and H O’Farrell, On localised hotspots of an urban crime model, Physica D, 253 (2013), 23-39, pdf
  29. AC Skeldon, G Chaffey, DJB Lloyd, V. Mohan, D Bradley and A Nisbet, Modelling and detecting tumour oxygenation levels, PLoS ONE 7(6): e38597 (2012), pdf. doi:10.1371/journal.pone.0038597.
  30. J Chamard, J Otta and DJB Lloyd, Computation of Minimum Energy Paths for Quasi-Linear Problems, Springer J. Scientific Computing 49(2) 180-194, 2011, pdf
  31. H Shiozawa, AC Skeldon, DJB Lloyd, V Stolojan, DC Cox, SRP Silva, Spontaneous Emergence of Long-range Shape Symmetry, Nanoletters 11(1) 160-163 (2011). Preprint, Supplementary material
  32. J Knobloch, DJB Lloyd, B Sandstede and T Wagenknecht, Isolas of 2-pulse solutions in homoclinic snaking scenarios, JDDE 23 93-114 (2011), pdf
  33. D Avitabile, DJB Lloyd, J Burke, E Knobloch and B Sandstede, To snake or not to snake in the planar Swift-Hohenberg equation, SIAM Journal on Applied Dynamical Systems 9 (2010) 704-733, pdf.
  34. DJB Lloyd, B Sandstede, Localized radial solutions of the Swift–Hohenberg equation, Nonlinearity 22(2) 485–524, 2009, pdf
  35. M Beck, J Knobloch, DJB Lloyd, B Sandstede and T Wagenknecht, Snakes, ladders, and isolas of localised patterns, SIAM J. Math. Anal. 41(3) 936-972, 2008, pdf
  36. DJB Lloyd, B Sandstede, D Avitabile and AR Champneys, Localized hexagon patterns in the planar Swift-Hohenberg equation, SIAM J. Appl. Dyn. Sys. 7(3) 1049-1100, 2008. pdf.
  37. DJB Lloyd, AR Champneys and RE Wilson, Robust heteroclinic cycles in the one-dimensional complex Ginzburg-Landau equation, Physica D, 204 (3-4):240-268, 2005, pdf.
  38. DJB Lloyd and AR Champneys, Efficient numerical continuation and stability analysis of spatiotemporal quadratic optical solitons, SIAM Journal of Scientific Computing, 27 (3):759-773, 2005, pdf.

Conference Proceedings:
  1. Giacomo Acciarini, Nicola Baresi, David Lloyd, Dario Izzo, Stochastic Continuation of Trajectories in the Circular Restricted Three-Body Problem via Differential Algebra, International Symposium on Space Flight Dynamics (2024), pdf.
  2. Giacomo Acciarini, Nicola Baresi, David Lloyd, Dario Izzo, Stochastic Continuation for Space Trajectory Design, ESA GNC and ICATT (2023), pdf.
  3. S Moschoyiannis, N Elia, AS Penn, DJB Lloyd, CJK Knight, Strategic intervention in complex networks. Cassting 16‘ Proceedings 2016, 14 pages pdf. 
  4. E Dalah, D Bradley DJB Lloyd, A Nisbet, Computational Simulation of tumour hypoxia as applied to radiation therapy applications. IFMBE Proceedings 25(1) 64-66, 2009.

Other articles:
  1. DJ Hill, J Bramburger, DJB Lloyd, Oberwolfach report: Small amplitude approximate localised cellular patches, (2021) pdf.
  2. T Kolokolnikov, DJB Lloyd, MB Short. BIRS workshop report on: Mathematical Criminology and Security, (2019) pdf.

PhD Thesis:
Localised Solutions of Partial Differential Equations (2005)