131 citations · 250 across the 14 of their papers we have counts for
15 papers
Symmetry breaking and high-dimensional chaos in sparse random networks of exact firing rate models
Pau Clusella
Exact firing rate models, also known as next-generation neural mass models (NG-NMMs), provide a rigorous description of the dynamics of neural populations. While in its simplest fo…
Emergent Spatiotemporal Dynamics in Large-Scale Brain Networks with Next Generation Neural Mass Models
Rosa Maria Delicado, Gemma Huguet, Pau Clusella
Understanding the dynamics of large-scale brain models remains a central challenge due to the inherent complexity of these systems. In this work, we explore the emergence of comple…
Rosetta Stone of Neural Mass Models
Francesca Castaldo, Raul de Palma Aristides, Pau Clusella +2
Brain dynamics dominate every level of neural organization -- from single-neuron spiking to the macroscopic waves captured by functional magnetic resonance imaging (fMRI), magnetoe…
Low-dimensional model for adaptive networks of spiking neurons
Bastian Pietras, Pau Clusella, Ernest Montbrió
We investigate a large ensemble of Quadratic Integrate-and-Fire (QIF) neurons with heterogeneous input currents and adaptation variables. Our analysis reveals that for a specific c…
From chimeras to extensive chaos in networks of heterogeneous Kuramoto oscillator populations
Pol Floriach, Jordi Garcia-Ojalvo, Pau Clusella
Populations of coupled oscillators can exhibit a wide range of complex dynamical behavior, from complete synchronization to chimera and chaotic states. We can thus expect complex d…
Exact low-dimensional description for fast neural oscillations with low firing rates
Pau Clusella, Ernest Montbrió
Recently, low-dimensional models of neuronal activity have been exactly derived for large networks of deterministic, Quadratic Integrate-and-Fire (QIF) neurons. Such firing rate mo…
Comparison between an exact and a heuristic neural mass model with second order synapses
Pau Clusella, Elif Köksal-Ersöz, Jordi Garcia-Ojalvo +1
Neural mass models (NMMs) are designed to reproduce the collective dynamics of neuronal populations. A common framework for NMMs assumes heuristically that the output firing rate o…
Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
Pau Clusella, Bastian Pietras, Ernest Montbrió
We derive the Kuramoto model (KM) corresponding to a population of weakly coupled, nearly identical quadratic integrate-and-fire (QIF) neurons with both electrical and chemical cou…
Phase transitions on a class of generalized Vicsek-like models of collective motion
Pau Clusella, Romualdo Pastor-Satorras
Systems composed of interacting self-propelled particles (SPPs) display different forms of order-disorder phase transitions relevant to collective motion. In this paper we propose…
Irregular collective dynamics in a Kuramoto-Daido system
Pau Clusella, Antonio Politi
We analyse the collective behavior of a mean-field model of phase-oscillators of Kuramoto-Daido type coupled through pairwise interactions which depend on phase differences: the co…
Amplitude death and restoration in networks of oscillators with random-walk diffusion
Pau Clusella, M. Carmen Miguel, Romualdo Pastor-Satorras
We study the death and restoration of collective oscillations in networks of oscillators coupled through random-walk diffusion. Differently than the usual diffusion coupling used t…
From phase to amplitude oscillators
Pau Clusella, Antonio Politi
We analyze an intermediate collective regime where amplitude oscillators distribute themselves along a closed, smooth, time-dependent curve , thereby maintaining the t…
Pattern invariance for reaction-diffusion systems on complex networks
Giulia Cencetti, Pau Clusella, Duccio Fanelli
Given a reaction-diffusion system interacting via a complex network, we propose two different techniques to modify the network topology while preserving its dynamical behaviour. In…
Noise-induced stabilization of collective dynamics
Pau Clusella, Antonio Politi
We illustrate a counter-intuitive effect of an additive stochastic force, which acts independently on each element of an ensemble of globally coupled oscillators. We show numerical…
Immunization and targeted destruction of networks using explosive percolation
Pau Clusella, Peter Grassberger, Francisco J. Perez-Reche +1
A new method (`explosive immunization' (EI)) is proposed for immunization and targeted destruction of networks. It combines the explosive percolation (EP) paradigm with the idea of…