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Turing instabilities on Cartesian product networks
Malbor Asllani, Daniel M. Busiello, Timoteo Carletti +2
The problem of Turing instabilities for a reaction-diffusion system defined on a complex Cartesian product networks is considered. To this end we operate in the linear regime and e…
Turing instabilities from a limit cycle
Joseph D. Challenger, Raffaella Burioni, Duccio Fanelli
The Turing instability is a paradigmatic route to patterns formation in reaction-diffusion systems. Following a diffusion-driven instability, homogeneous fixed points can become un…
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…
Intrinsic noise and two-dimensional maps: Quasicycles, quasiperiodicity, and chaos
César Parra-Rojas, Joseph D. Challenger, Duccio Fanelli +1
We develop a formalism to describe the discrete-time dynamics of systems containing an arbitrary number of interacting species. The individual-based model, which forms our starting…
Turing patterns in multiplex networks
Malbor Asllani, Daniel M. Busiello, Timoteo Carletti +2
The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as…
Diffusion of tagged particles in a crowded medium
Marta Galanti, Duccio Fanelli, Amos Maritan +1
The influence of crowding on the diffusion of tagged particles in a dense medium is investigated in the framework of a mean-field model, derived in the continuum limit from a micro…