5 papers
A nonconservative kinetic framework with logistic growth for modeling the coexistence in a multi-species ecological system
Marco Menale, Carmelo Filippo Munafò, Francesco Oliveri
Kinetic theory frameworks are widely used for modeling stochastic interacting systems, where the evolution primarily depends on binary interactions. Recently, in this framework the…
Symbolic computation of optimal systems of subalgebras of three- and four-dimensional real Lie algebras
Luca Amata, Francesco Oliveri, Emanuele Sgroi
The complete optimal systems of subalgebras of all nonisomorphic three- and four-dimensional real Lie algebras are analyzed by the program \symbolie running in the computer algebra…
Hierarchy of coupled Burgers-like equations induced by conditional symmetries
M. Gorgone, F. Oliveri, E. Sgroi
It is known that -conditional symmetries of the classical Burgers' equation express in terms of three functions satisfying a coupled system of Burgers-like equations. The search…
An operatorial view of competition and cooperation in a network of economic agents
G. Giunta, M. Gorgone, F. Oliveri
A network of agents interacting both with competitive and/or cooperative mechanisms is modeled by using fermionic ladder operators. The time evolution of the network is assumed to…
Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators
Giorgio Gubbiotti, Francesco Oliveri, Emanuele Sgroi +1
We study from an algebraic and geometric viewpoint Hamiltonian operators which are sum of a non-degenerate first-order homogeneous operator and a Poisson tensor. In flat coordinate…