1k citations · 4k across the 118 of their papers we have counts for
7 papers · 1 filter
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…
WKB versus generalized van Kampen system-size expansion: the stochastic logistic equation
Claudia Cianci, Duccio Fanelli, Alan J. McKane
Stochastic fluctuations are central to the understanding of extinction dynamics. In the context of population models they allow for the description of the transition from the vicin…
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…
Generalized maximum entropy approach to quasi-stationary states in long range systems
Gabriele Martelloni, Gianluca Martelloni, Pierre de Buyl +1
Systems with long-range interactions display a short-time relaxation towards Quasi Stationary States (QSS) whose lifetime increases with the system size. In the paradigmatic Hamilt…
Delay induced Turing-like waves for one species reaction-diffusion model on a network
Julien Petit, Timoteo Carletti, Mabor Asslani +1
A one species time-delay reaction-diffusion system defined on a complex networks is studied. Travelling waves are predicted to occur as follows a symmetry breaking instability of a…
Emergence of a collective crystal in a classical system with long-range interactions
Alessio Turchi, Duccio Fanelli, Xavier Leoncini
A one-dimensional long-range model of classical rotators with an extended degree of complexity, as compared to paradigmatic long-range systems, is introduced and studied. Working a…