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- Paulo J. Costa Branco, J. A. Dente, Rui Vilela Mendes
- IEEE Trans. Industrial Electronics
- 2003

The immune system is a cognitive system of complexity comparable to the brain and its computational algorithms suggest new solutions to engineering problems or new ways of looking at these problems. Using immunological principles, a two(or three-) module algorithm is developed which is capable of launching a specific response to an anomalous situation for… (More)

Using the symplectic tomography map, both for the probability distributions in classical phase space and for the Wigner functions of its quantum counterpart, we discuss a notion of Lyapunov exponent for quantum dynamics. Because the marginal distributions, obtained by the tomography map, are always well defined probabilities, the correspondence between… (More)

- Carlos Aguirre, João F. Martins, Rui Vilela Mendes
- I. J. Bifurcation and Chaos
- 2006

A four-node network consisting of a negative circuit controlling a positive one is studied. It models some of the features of the p53 gene network. Using piecewise linear dynamics with thresholds, the allowed dynamical classes are fully characterized and coded. The biologically relevant situations are identified and conclusions drawn concerning the… (More)

- Rui Vilela Mendes
- Advances in Complex Systems
- 2004

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 of Homo Oeconomicus. This led to the notion of strong reciprocity (or altruistic punishment) to capture the human trait leading an individual to punish norm violators at a cost to… (More)

Clustering and correlation effects are frequently observed in chaotic systems in situations where, because of the positivity of the Lyapunov exponents, no dimension reduction is to be expected. In this paper, using a globally coupled network of Bernoulli units, one finds a general mechanism by which strong correlations and slow structures are obtained at… (More)

- Rui Vilela Mendes, R. Limaand, Tanya Araújo
- 2001

The statistical properties of a stochastic process may be described (1)by the expectation values of the observables, (2)by the probability distribution functions or (3)by probability measures on path space. Here an analysis of level (3) is carried out for market fluctuation processes. Gibbs measures and chains with complete connections are considered. Some… (More)

In this paper we introduce and briefly discuss some of the basic results of large-deviation theory. We propose that large-deviation analysis be used as a tool complementary to the usual intermittency analysis because, as we show, systems exhibiting similar factorial moment behaviour may be quite different from the point of view of large-deviation… (More)

- Rui Vilela Mendes
- I. J. Bifurcation and Chaos
- 2005

Networks have been studied mainly by statistical methods which emphasize their topological structure. Here, one collects some mathematical tools and results which might be useful to study both the dynamics of agents living on the network and the networks themselves as evolving dynamical systems. They include decomposition of differential dynamics, ergodic… (More)

Stochastic solutions are obtained for the Maxwell-Vlasov equation in the approximation where magnetic field fluctuations are neglected and the electrostatic potential is used to compute the electric field. This is a reasonable approximation for plasmas in a strong external magnetic field. Both Fourier and configuration space solutions are constructed. PACS:… (More)

- Tanya Araújo, Rui Vilela Mendes
- Advances in Complex Systems
- 2009

A model is developed to study the effectiveness of innovation and its impact on structure creation on agent-based societies. The abstract model that is developed is easily adapted to any particular field. In an interacting environment, the agents receive something from the environment (the other agents) in exchange for their effort and pay the environment a… (More)