Localized Hexagon Patterns of the Planar Swift-Hohenberg Equation. - David J. B. Lloyd; Björn Sandstede; Daniele Avitabile; Alan R. Champneys (SIAM J. Appl. Dyn. Syst., 2008)

To Snake or Not to Snake in the Planar Swift-Hohenberg Equation. - Daniele Avitabile; David J. B. Lloyd; John Burke; Edgar Knobloch; Björn Sandstede (SIAM J. Appl. Dyn. Syst., 2010)

On the numerical Continuation of Isolas of Equilibria. - Daniele Avitabile; Mathieu Desroches; Serafim Rodrigues (Int. J. Bifurc. Chaos, 2012)

Equation-Free Analysis of Two-Component System Signalling Model Reveals the Emergence of Co-Existing Phenotypes in the Absence of Multistationarity. - Rebecca B. Hoyle; Daniele Avitabile; Andrzej M. Kierzek (PLoS Comput. Biol., 2012)

Numerical Bifurcation Study of Superconducting Patterns on a Square. - Nico Schlömer; Daniele Avitabile; Wim Vanroose (SIAM J. Appl. Dyn. Syst., 2012)

Noise Reduction in Coarse Bifurcation Analysis of Stochastic Agent-Based Models: An Example of Consumer Lock-In. - Daniele Avitabile; Rebecca B. Hoyle; Giovanni Samaey (SIAM J. Appl. Dyn. Syst., 2014)

Continuation of Localized Coherent Structures in Nonlocal Neural Field Equations. - James Rankin; Daniele Avitabile; Javier Baladron; Grégory Faye; David J. B. Lloyd (SIAM J. Sci. Comput., 2014)

Stripe to Spot Transition in a Plant Root Hair Initiation Model. - Victor F. Brena-Medina; Daniele Avitabile; Alan R. Champneys; Michael Jeffrey Ward (SIAM J. Appl. Math., 2015)

Beyond in-phase and anti-phase coordination in a model of joint action. - Daniele Avitabile; Piotr Slowinski; Benoît G. Bardy; Krasimira Tsaneva-Atanasova (Biol. Cybern., 2016)

Network mechanisms underlying the role of oscillations in cognitive tasks. - Helmut Schmidt; Daniele Avitabile; Ernest Montbrió; Alex Roxin (PLoS Comput. Biol., 2018)

Spot Dynamics in a Reaction-Diffusion Model of Plant Root Hair Initiation. - Daniele Avitabile; Victor F. Brena-Medina; Michael Jeffrey Ward (SIAM J. Appl. Math., 2018)

Pseudo-plateau bursting and mixed-mode oscillations in a model of developing inner hair cells. - Harun Baldemir; Daniele Avitabile; Krasimira Tsaneva-Atanasova (Commun. Nonlinear Sci. Numer. Simul., 2020)

Local Theory for Spatio-Temporal Canards and Delayed Bifurcations. - Daniele Avitabile; Mathieu Desroches; Romain Veltz; Martin Wechselberger (SIAM J. Math. Anal., 2020)

A dynamic neural field model of continuous input integration. - Weronika Wojtak; Stephen Coombes; Daniele Avitabile; Estela Bicho; Wolfram Erlhagen (Biol. Cybern., 2021)

Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations. - Rachel Nicks; Abigail Cocks; Daniele Avitabile; Alan Johnston; Stephen Coombes (SIAM J. Appl. Dyn. Syst., 2021)

Cross-scale excitability in networks of quadratic integrate-and-fire neurons. - Daniele Avitabile; Mathieu Desroches; G. Bard Ermentrout (PLoS Comput. Biol., 2022)

Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire Neurons. - Daniele Avitabile; Joshua L. Davis; Kyle Wedgwood (SIAM Rev., 2023)

Projection Methods for Neural Field Equations. - Daniele Avitabile (SIAM J. Numer. Anal., 2023)

Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport. - Simon Bellows; George Janes; Daniele Avitabile; John R. King; Anthony Bishopp; Etienne Farcot (PLoS Comput. Biol., 2023)

Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing. - Daniele Avitabile; Nikolai V. Chemetov; P. M. Lima (J. Nonlinear Sci., 2024)

Radial Basis Function Techniques for Neural Field Models on Surfaces. - Sage Shaw; Zachary P. Kilpatrick; Daniele Avitabile (CoRR, 2025)

Neural Field Equations with random data. - Daniele Avitabile; Francesca Cavallini; Svetlana Dubinkina; Gabriel J. Lord (CoRR, 2025)

Stochastic collocation schemes for Neural Field Equations with random data. - Daniele Avitabile; Francesca Cavallini; Svetlana Dubinkina; Gabriel J. Lord (CoRR, 2025)