159 citations · 416 across the 17 of their papers we have counts for
18 papers
Noise seeded oscillators: on the role of demographic fluctuations in a multi-populations model
Francesca Di Patti, Duccio Fanelli, Perla Rosi
Stochastic oscillations can emerge from a two-population model as triggered by endogenous finite size fluctuations. Here, an extended dynamical scenario is considered in which a th…
Learning in Wilson-Cowan model for metapopulation
Raffaele Marino, Lorenzo Buffoni, Lorenzo Chicchi +4
The Wilson-Cowan model for metapopulation, a Neural Mass Network Model, treats different subcortical regions of the brain as connected nodes, with connections representing various…
Hopping in the crowd to unveil network topology
Malbor Asllani, Timoteo Carletti, Francesca Di Patti +2
We introduce a nonlinear operator to model diffusion on a complex undirected network under crowded conditions. We show that the asymptotic distribution of diffusing agents is a non…
Ginzburg-Landau approximation for self-sustained oscillators weakly coupled on complex directed graphs
Francesca Di Patti, Duccio Fanelli, Filippo Miele +1
A normal form approximation for the evolution of a reaction-diffusion system hosted on a directed graph is derived, in the vicinity of a supercritical Hopf bifurcation. Weak diffus…
Global topological control for synchronized dynamics on networks
Giulia Cencetti, Franco Bagnoli, Giorgio Battistelli +3
A general scheme is proposed and tested to control the symmetry breaking instability of a homogeneous solution of a spatially extended multispecies model, defined on a network. The…
Benjamin-Feir instabilities on directed networks
Francesca Di Patti, Duccio Fanelli, Filippo Miele +1
The Complex Ginzburg-Landau equation is studied assuming a directed network of coupled oscillators. The asymmetry makes the spectrum of the Laplacian operator complex, and it is ul…
Drift-induced Benjamin-Feir instabilities
Francesca Di Patti, Duccio Fanelli, Timoteo Carletti
A modified version of the Ginzburg-Landau equation is introduced which accounts for asymmetric couplings between neighbors sites on a one-dimensional lattice, with periodic boundar…
The second will be first: competition on directed networks
Giulia Cencetti, Franco Bagnoli, Francesca Di Patti +1
Multiple sinks competition is investigated for a walker diffusing on directed complex networks. The asymmetry of the imposed spatial support makes the system non transitive. As a c…
Multiple scale theory of topology driven pattern on directed networks
Silvia Contemori, Francesca Di Patti, Duccio Fanelli +1
Dynamical processes on networks are currently being considered in different domains of cross-disciplinary interest. Reaction-diffusion systems hosted on directed graphs are in part…
Optimal search strategies on complex networks
Francesca Di Patti, Duccio Fanelli, Francesco Piazza
Complex networks are ubiquitous in nature and play a role of paramount importance in many contexts. Internet and the cyberworld, which permeate our everyday life, are self-organize…
Stochastic Turing Patterns on a Network
Malbor Asslani, Francesca Di Patti, Duccio Fanelli
The process of stochastic Turing instability on a network is discussed for a specific case study, the stochastic Brusselator model. The system is shown to spontaneously differentia…
Multispecies reaction diffusion models and the Turing instability revisited
Duccio Fanelli, Claudia Cianci, Francesca Di Patti
The Turing instability paradigm is revisited in the context of a multispecies diffusion scheme derived from a self-consistent microscopic formulation. The analysis is developed wit…
Analytical study of non Gaussian fluctuations in a stochastic scheme of autocatalytic reactions
Claudia Cianci, Francesca Di Patti, Duccio Fanelli +1
A stochastic model of autocatalytic chemical reactions is studied both numerically and analytically. The van Kampen perturbative scheme is implemented, beyond the second order appr…
Non-Gaussian fluctuations in stochastic models with absorbing barriers
Claudia Cianci, Francesca Di Patti, Duccio Fanelli
The dynamics of a one-dimensional stochastic model is studied in presence of an absorbing boundary. The distribution of fluctuations is analytically characterized within the genera…
System size expansion for systems with an absorbing state
Francesca Di Patti, Sandro Azaele, Jayanth R. Banavar +1
The well known van Kampen system size expansion, while of rather general applicability, is shown to fail to reproduce some qualitative features of the time evolution for systems wi…
A spatial model of autocatalytic reactions
Pietro de Anna, Francesca Di Patti, Duccio Fanelli +2
Biological cells with all of their surface structure and complex interior stripped away are essentially vesicles - membranes composed of lipid bilayers which form closed sacs. Vesi…
Stochastic Turing patterns in the Brusselator model
Tommaso Biancalani, Duccio Fanelli, Francesca Di Patti
A stochastic version of the Brusselator model is proposed and studied via the system size expansion. The mean-field equations are derived and shown to yield to organized Turing pat…
Enhanced stochastic oscillations in autocatalytic reactions
Thierry Dauxois, Francesca Di Patti, Duccio Fanelli +1
We study a simplified scheme of coupled autocatalytic reactions, previously introduced by Togashi and Kaneko. The role of stochastic fluctuations is elucidated through the use…