List of publications

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Preprints

  1. Avitabile, D., Desroches, M., Ermentrout, G. B. 2020. Cross-scale excitability in networks of quadratic integrate-and-fire neurons Details...
  2. Avitabile, D., Desroches, M., Veltz, R. and Wechselberger, M., 2019. Local theory for spatio-temporal canards and delayed bifurcations. arXiv preprint arXiv:1912.06205. Details...

Journal articles

  1. Avitabile, D., Lima, P., and Coombes, S., 2020. A numerical scheme for neural field models including dendritic processing. To appear on Journal of Computational Dynamics Details...
  2. Schmidt, H. and Avitabile, D., 2020. Bumps and Oscillsons in Networks of Spiking Neurons. Chaos 30, 033133 Details...
  3. Gökçe, A., Coombes, S., and Avitabile, D. 2020. Quasicrystal patterns in a neural field model. Physical Review Research 2, 013234. Details...
  4. Ross, J., Margetts, M., Bojak, I., Nicks, R., Avitabile, D. and Coombes, S., 2020, Brain-wave equation incorporating axodendritic connectivity. Physical Review E, 101 (2), 022411 Details...
  5. Baldemir, H., Avitabile, D. and Tsaneva-Atanasova, K., 2020. Pseudo-plateau bursting and mixed-mode oscillations in a model of developing inner hair cells. Communications in Nonlinear Science and Numerical Simulation, 80, p.104979. Details...
  6. Byrne, Á., Avitabile, D. and Coombes, S., 2019. Next-generation neural field model: The evolution of synchrony within patterns and waves. Physical Review E, 99(1), p.012313. Details...
  7. Schmidt, H., Avitabile, D., Montbrió, E. and Roxin, A., 2018. Network mechanisms underlying the role of oscillations in cognitive tasks. PLoS computational biology, 14(9), p.e1006430. Details...
  8. Avitabile, D., Bren͂a, V.F. and Ward, M.J., 2018. Spot dynamics in a reaction-diffusion model of plant root hair initiation. SIAM Journal on Applied Mathematics, 78(1), pp.291-319. Details...
  9. Cox, B.S., Groh, R.M.J., Avitabile, D. and Pirrera, A., 2018. Modal nudging in nonlinear elasticity: Tailoring the elastic post-buckling behaviour of engineering structures. Journal of the Mechanics and Physics of Solids, 116, pp.135-149. Details...
  10. Cox, B.S., Groh, R.M., Avitabile, D. and Pirrera, A., 2018. Exploring the design space of nonlinear shallow arches with generalised path-following. Finite Elements in Analysis and Design, 143, pp.1-10. Details...
  11. Groh, R.M.J., Avitabile, D. and Pirrera, A., 2018. Generalised path-following for well-behaved nonlinear structures. Computer Methods in Applied Mechanics and Engineering, 331, pp.394-426. Details...
  12. Joshi, T.V., Avitabile, D. and Owen, M.R., 2018. Capturing the dynamics of a hybrid multiscale cancer model with a continuum model. Bulletin of mathematical biology, 80(6), pp.1435-1475. Details...
  13. Avitabile, D., Desroches, M. and Knobloch, E., 2017. Spatiotemporal canards in neural field equations. Physical Review E, 95(4), p.042205. Details...
  14. Esnaola-Acebes, J.M., Roxin, A., Avitabile, D. and Montbrió, E., 2017. Synchrony-induced modes of oscillation of a neural field model. Physical Review E, 96(5), p.052407. Details...
  15. Gökçe, A., Avitabile, D. and Coombes, S., 2017. The dynamics of neural fields on bounded domains: an interface approach for dirichlet boundary conditions. The Journal of Mathematical Neuroscience, 7(1), p.12. Details...
  16. Avitabile, D., Desroches, M., Knobloch, E. and Krupa, M., 2017. Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2207), p.20170018. Details...
  17. Avitable, D. and Wedgwood, K.C., 2017. Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis. Journal of mathematical biology, 75(4), pp.885-928. Details...
  18. Avitabile, D., Słowiński, P., Bardy, B. and Tsaneva-Atanasova, K., 2016. Beyond in-phase and anti-phase coordination in a model of joint action. Biological cybernetics, 110(2-3), pp.201-216. Details...
  19. Iosub, R., Avitabile, D., Grant, L., Tsaneva-Atanasova, K. and Kennedy, H.J., 2015. Calcium-induced calcium release during action potential firing in developing inner hair cells. Biophysical journal, 108(5), pp.1003-1012. Details...
  20. Draelants, D., Avitabile, D. and Vanroose, W., 2015. Localized auxin peaks in concentration-based transport models of the shoot apical meristem. Journal of The Royal Society Interface, 12(106), p.20141407. Details...
  21. Bren͂a-Medina, V.F., Avitabile, D., Champneys, A.R. and Ward, M.J., 2015. Stripe to spot transition in a plant root hair initiation model. SIAM Journal on Applied Mathematics, 75(3), pp.1090-1119. Details...
  22. Avitabile, D. and Schmidt, H., 2015. Snakes and ladders in an inhomogeneous neural field model. Physica D: Nonlinear Phenomena, 294, pp.24-36. Details...
  23. Avitabile, D., Hoyle, R. and Samaey, G., 2014. Noise reduction in coarse bifurcation analysis of stochastic agent-based models: an example of consumer lock-in. SIAM Journal on Applied Dynamical Systems, 13(4), pp.1583-1619. Details...
  24. Rankin, J., Avitabile, D., Baladron, J., Faye, G. and Lloyd, D.J., 2014. Continuation of localized coherent structures in nonlocal neural field equations. SIAM Journal on Scientific Computing, 36(1), pp.B70-B93. Details...
  25. Penn, A.S., Knight, C.J., Lloyd, D.J., Avitabile, D., Kok, K., Schiller, F., Woodward, A., Druckman, A. and Basson, L., 2013. 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), p.e78319. Details...
  26. Avitabile, D., Desroches, M. and Rodrigues, S., 2012. On the numerical continuation of isolas of equilibria. International Journal of Bifurcation and Chaos, 22(11), p.1250277. Details...
  27. Hoyle, R.B., Avitabile, D. and Kierzek, A.M., 2012. Equation-free analysis of two-component system signalling model reveals the emergence of co-existing phenotypes in the absence of multistationarity. PLoS computational biology, 8(6), p.e1002396. Details...
  28. Schlömer, N., Avitabile, D. and Vanroose, W., 2012. Numerical bifurcation study of superconducting patterns on a square. SIAM Journal on Applied Dynamical Systems, 11(1), pp.447-477. Details...
  29. Pirrera, A., Avitabile, D. and Weaver, P.M., 2012. On the thermally induced bistability of composite cylindrical shells for morphing structures. International Journal of Solids and Structures, 49(5), pp.685-700. Details...
  30. Champneys, A.R., Avitabile, D., Homer, M. and Szalai, R., 2011. The mechanics of hearing: a comparative case study in bio-mathematical modelling. The ANZIAM Journal, 52(3), pp.225-249. Details...
  31. Wales, C., Gaitonde, A.L., Jones, D.P., Avitabile, D. and Champneys, A.R., 2012. Numerical continuation of high Reynolds number external flows. International Journal for Numerical Methods in Fluids, 68(2), pp.135-159. Details...
  32. Pirrera, A., Avitabile, D. and Weaver, P.M., 2011. Numerical continuation of bistable composite cylindrical shells. Proceedings of the Institution of Civil Engineers-Engineering and Computational Mechanics, 164(3), pp.147-153. Details...
  33. Pirrera, A., Avitabile, D. and Weaver, P.M., 2010. Bistable plates for morphing structures: a refined analytical approach with high-order polynomials. International Journal of Solids and Structures, 47(25-26), pp.3412-3425. Details...
  34. Avitabile, D., Lloyd, D.J., Burke, J., Knobloch, E. and Sandstede, B., 2010. To snake or not to snake in the planar Swift–Hohenberg equation. SIAM Journal on Applied Dynamical Systems, 9(3), pp.704-733. Details...
  35. Avitabile, D. and Bridges, T.J., 2010. Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity. Physica D: Nonlinear Phenomena, 239(12), pp.1038-1047. Details...
  36. Avitabile, D., Homer, M., Champneys, A.R., Jackson, J.C. and Robert, D., 2009. Mathematical modelling of the active hearing process in mosquitoes. Journal of the Royal Society Interface, 7(42), pp.105-122. Details...
  37. Lloyd, D.J., Sandstede, B., Avitabile, D. and Champneys, A.R., 2008. Localized hexagon patterns of the planar Swift–Hohenberg equation. SIAM Journal on Applied Dynamical Systems, 7(3), pp.1049-1100. Details...
  38. Gardes, F.Y., Tsakmakidis, K.L., Thomson, D., Reed, G.T., Mashanovich, G.Z., Hess, O. and Avitabile, D., 2007. Micrometer size polarisation independent depletion-type photonic modulator in Silicon On Insulator. Optics express, 15(9), pp.5879-5884. Details...

Book chapters

  1. Gökçe, A., Avitabile, D. and Coombes, 2020. Labyrinthine Structures in a Neural Field Model, in The Art of Theoretical Biology, Editors: Matthäus, F., Matthäus, S., Harris, S., Hillen, Th. Details...
  2. A. Gökçe, S. Coombes, D. Avitabile Neural Fields: Localised States with Piece-Wise Constant Interactions. In: Naldi G., Nieus T. (eds) Mathematical and Theoretical Neuroscience. Springer INdAM Series, vol 24. Springer, 2017. Details...
  3. S. Coombes, H. Schmidt and D. Avitabile. Spots: Breathing, drifting and scattering in a neural field model. Neural Field Theory, Ed. S. Coombes, P. beim Graben, R. Potthast and J.J. Wright, Springer Verlag, 2013. Details...

Conference proceedings

  1. C. Szostek, D. Avitabile and K. Tsaneva-Atanasova. Equation free stability analysis of automated algorithmic trading. European Conference on Complex Systems, Brussels, Belgium, 2012. Details...
  2. D. Avitabile, M. Homer, J. Jackson, D. Robert, A. R. Champneys. Modelling the active hearing process in mosquitoes. Mechanics of hearing 2011, Williamstown, Massachusetts, USA, 2011. Details...
  3. D. Avitabile, M. Desroches, S. Rodrigues. Numerical continuation of isolas of equilibria. Mini-Symposium on Computational Methods, 7th European Nonlinear Dynamics Conference, Rome, Italy, 2011. Details...
  4. A. Pirrera, D. Avitabile, P. Weaver. On the Thermally-Induced Bistability of Composite Panels for Morphing Applications. Deformation and Fracture of Composites, Cambridge, UK, 2011. Details...
  5. A. Pirrera, D. Avitabile, P. Weaver. Bistability of composite cylindrical shells. 17th International Conference on Composite Materials, Edinburgh, UK, 2009. Details...