9 citations · 11 across the 6 of their papers we have counts for
16 papers
Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times
R. Vilela Mendes
A deterministic version of the Bak-Sneppen model is studied. The role of the Lyapunov spectrum in the onset of scale-free behavior is established and avalanches are interpreted as…
Dynamics and coding of a biologically-motivated network
Carlos Aguirre, Joao Martins, R. Vilela Mendes
A four-node network consisting of a negative loop controlling a positive one is studied. It models some of the features of the p53 gene network. Using piecewise linear dynamics wit…
Network dependence of strong reciprocity
R. Vilela Mendes
Experimental evidence suggests that human decisions involve a mixture of self-interest and internalized social norms which cannot be accounted for by the Nash equilibrium behavior…
Tools for network dynamics
R. Vilela Mendes
Networks have been studied mainly using statistical methods. Here I collect some dynamical systems tools which are useful to study both the dynamics on networks and their evolution…
Quantum games and social norms. The quantum ultimatum game
R. Vilela Mendes
The noncooperative Nash equilibrium solution of classical games corresponds to a rational expectations attitude on the part of the players. However, in many cases, games played by…
Quantum collision states for positive charges in an octahedral cage
R. Vilela Mendes
One-electron energy levels are studied for a configuration of two positive charges inside an octahedral cage, the vertices of the cage being occupied by atoms with a partially fill…