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On a discrete generalized kinetic approach for modelling persuaders influence in opinion formation processes
(Elsevier, 2008)This paper deals with the definition of a general framework, inspired by the discrete generalized kinetic theory, suitable for the description of the evolution of opinions within a population in the presence of some external ... 
From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences
(World Scientific Publishing, 2004)This paper deals with some methodological aspects related to the discretization of a class of integrodifferential equations modelling the evolution of the probability distribution over the microscopic state of a large ... 
Conservation laws and asymptotic behavior of a model of social dynamics
(Elsevier, 2008)A conservative social dynamics model is developed within a discrete kinetic framework for active particles, which has been proposed in [M.L. Bertotti, L. Delitala, From discrete kinetic and stochastic game theory to modelling ... 
On the qualitative analysis of the solutions of a mathematical model of social dynamics
(Elsevier, 2006)This work deals with a family of dynamical systems which were introduced in [M.L. Bertotti, M. Delitala, From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences, Math. Models Methods ... 
Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow
(Elsevier, 2003)This paper deals with the solution of a boundary value problem related to a steady nonuniform description of a class of traffic flow models. The models are obtained by the closure of the mass conservation equation with a ... 
On the influence of the kinetic energy on the stability of equilibria of natural Lagrangian systems
(Springer Verlag (Germany), 2000)Natural Lagrangian systems (T,Π) on R 2 described by the equation are considered, where is a positive definite quadratic form in and Π(q) has a critical point at 0. It is constructively proved that there exist a C ∞ potential ... 
From the kinetic theory of active particles to the modelling of social behaviors and politics
(Springer Verlag (Germany), 2007)This paper deals with the modeling of complex social systems by methods of the mathematical kinetic theory for active particles. Specifically, a recent model by the last two authors is analyzed from the social sciences ... 
On the existence of limit cycles in opinion formation processes under time periodic influence of persuaders
(World Scientific Publishing, 2008)This paper concerns a model of opinion formation in a population of interacting individuals under the influence of external leaders or persuaders, which act in a time periodic fashion. The model is formulated within a ... 
Chaotic trajectories for natural systems on a torus
(American Institute of Mathematical Sciences (AIMS), 2003)We consider a natural Lagrangian system on a torus and give sufficient conditions for the existence of chaotic trajectories for energy values slightly below the maximum of the potential energy. It turns out that chaotic ...