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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…
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…
Ensemble Inequivalence in Systems with Wave-Particle Interaction
Tarcísio N. Teles, Duccio Fanelli, Stefano Ruffo
The classical wave-particle Hamiltonian is considered in its generalized version, where two modes are assumed to interact with the co-evolving charged particles. The equilibrium st…