57 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut national de recherche en sciences et technologies du numériqueFR18 papers
- Centre Inria d'Université Côte d'AzurFR8 papers
- Université Côte d'AzurFR7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Vrije Universiteit AmsterdamNL4 papers
- Politecnico di TorinoIT3 papers
- Communauté d'universités et d'établissements Université Côte d'AzurFR2 papers
- Institute for Complex SystemsIT2 papers
- Laboratoire Jean-Alexandre DieudonnéFR2 papers
- National Research CouncilLK2 papers
- The University of SydneyAU2 papers
- University of NottinghamGB2 papers
29 papers
The one step fixed-lag particle smoother as a strategy to improve the prediction step of particle filtering
Samuel Nyobe, Fabien Campillo, Serge Moto +1
Sequential Monte Carlo methods have been a major breakthrough in the field of numerical signal processing for stochastic dynamical state-space systems with partial and noisy observ…
Bifurcation analysis and steady state patterns in reaction-diffusion systems augmented with self- and cross-diffusion
Benjamin Aymard
In this article, we carry out a study of long-term behavior of reaction-diffusion systems augmented with self- and cross-diffusion, using an augmented Gray-Scott system as a genera…
A minimal model for adaptive SIS epidemics
Massimo A. Achterberg, Mattia Sensi
The interplay between disease spreading and personal risk perception is of key importance for modelling the spread of infectious diseases. We propose a planar system of ordinary di…
Entry-exit functions in fast-slow systems with intersecting eigenvalues
Panagiotis Kaklamanos, Christian Kuehn, Nikola Popović +1
We study delayed loss of stability in a class of fast-slow systems with two fast variables and one slow one, where the linearisation of the fast vector field along a one-dimensiona…
Cross-scale excitability in networks of synaptically-coupled quadratic integrate-and-fire neurons
Daniele Avitabile, Mathieu Desroches, G. Bard Ermentrout
From the action potentials of neurons and cardiac cells to the amplification of calcium signals in oocytes, excitability is a hallmark of many biological signalling processes. In r…
Global stability of multi-group SAIRS epidemic models
Stefania Ottaviano, Mattia Sensi, Sara Sottile
We study a multi-group SAIRS-type epidemic model with vaccination. The role of asymptomatic and symptomatic infectious individuals is explicitly considered in the transmission patt…
A Generalization of Lanchester's Model of Warfare
Nicolò Cangiotti, Marco Capolli, Mattia Sensi
The classical Lanchester's model is shortly reviewed and analysed, with particular attention to the critical issues that intrinsically arise from the mathematical formalization of…
Projection methods for Neural Field equations
Daniele Avitabile
Neural field models are nonlinear integro-differential equations for the evolution of neuronal activity, and they are a prototypical large-scale, coarse-grained neuronal model in c…
Slow passage through a Hopf-like bifurcation in piecewise linear systems: application to elliptic bursting
Jordi Penalva, Mathieu Desroches, Antonio E. Teruel +1
The phenomenon of slow passage through a Hopf bifurcation is ubiquitous in multiple-timescale dynamical systems, where a slowly-varying quantity replacing a static parameter induce…
Spatial and color hallucinations in a mathematical model of primary visual cortex
Olivier D. Faugeras, Anna Song, Romain Veltz
We study a simplified model of the representation of colors in the primate primary cortical visual area V1. The model is described by an initial value problem related to a Hammerst…
A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions
Emre Baspinar, Luca Calatroni, Valentina Franceschi +1
We consider Wilson-Cowan-type models for the mathematical description of orientation-dependent Poggendorff-like illusions. Our modelling improves two previously proposed cortical-i…
How network properties and epidemic parameters influence stochastic SIR dynamics on scale-free random networks
Sara Sottile, Ozan Kahramanoğulları, Mattia Sensi
With the premise that social interactions are described by power-law distributions, we study a SIR stochastic dynamic on a static scale-free random network generated via configurat…
Exact neural mass model for synaptic-based working memory
Halgurd Taher, Alessandro Torcini, Simona Olmi
A synaptic theory of Working Memory (WM) has been developed in the last decade as a possible alternative to the persistent spiking paradigm. In this context, we have developed a ne…
Local theory for spatio-temporal canards and delayed bifurcations
Daniele Avitabile, Mathieu Desroches, Romain Veltz +1
We present a rigorous framework for the local analysis of canards and slow passages through bifurcations in a wide class of infinite-dimensional dynamical systems with time-scale s…
Bumps and Oscillons in Networks of Spiking Neurons
Helmut Schmidt, Daniele Avitabile
We study localized patterns in an exact mean-field description of a spatially-extended network of quadratic integrate-and-fire (QIF) neurons. We investigate conditions for the exis…
A Mathematical Analysis of Memory Lifetime in a simple Network Model of Memory
Pascal Helson
We study the learning of an external signal by a neural network and the time to forget it when this network is submitted to noise. The presentation of an external stimulus to the r…
Neuronal mechanisms for sequential activation of memory items: dynamics and reliability
Elif Köksal-Ersöz, Carlos Aguilar, Pascal Chossat +2
In this article we present a biologically inspired model of activation of memory items in a sequence. Our model produces two types of sequences, corresponding to two different type…
Resonator neuron and triggering multipulse excitability in laser with injected signal
Axel Dolcemascolo, Bruno Garbin, Bertand Peyce +2
Semiconductor lasers with coherent forcing are expected to behave similarly to simple neuron models in response to external perturbations, as long as the physics describing them ca…
A neural field model for color perception unifying assimilation and contrast
Anna Song, Olivier Faugeras, Romain Veltz
We address the question of color-space interactions in the brain, by proposing a neural field model of color perception with spatial context for the visual area V1 of the cortex. O…
Long time behavior of a mean-field model of interacting neurons
Quentin Cormier, Etienne Tanré, Romain Veltz
We study the long time behavior of the solution to some McKean-Vlasov stochastic differential equation (SDE) driven by a Poisson process. In neuroscience, this SDE models the asymp…
A next generation neural field model: The evolution of synchrony within patterns and waves
Áine Byrne, Daniele Avitabile, Stephen Coombes
Neural field models are commonly used to describe wave propagation and bump attractors at a tissue level in the brain. Although motivated by biology, these models are phenomenologi…
Effect of disorder and noise in shaping the dynamics of power grids
Liudmila Tumash, Simona Olmi, Eckehard Schöll
The aim of this paper is to investigate complex dynamic networks which can model high-voltage power grids with renewable, fluctuating energy sources. For this purpose we use the Ku…
On a toy network of neurons interacting through their dendrites
Nicolas Fournier, Etienne Tanré, Romain Veltz
Consider a large number of neurons, each being connected to approximately other ones, chosen at random. When a neuron spikes, which occurs randomly at some rate depending o…
Spatio-temporal canards in neural field equations
Daniele Avitabile, Mathieu Desroches, Edgar Knobloch
Canards are special solutions to ordinary differential equations that follow invariant repelling slow manifolds for long time intervals. In realistic biophysical single cell models…