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19932022
most citedLyapunov exponent in quantum mechanics. A phase-space approach

86 citations · 497 across the 75 of their papers we have counts for

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9 papers · 1 filter

nlin.AO2022★ 1 cited

Long-range connections, real-world networks and rates of diffusion

Tanya Araújo, R. Vilela Mendes

Long range connections play an essential role in dynamical processes on networks, on the processing of information in biological networks, on the structure of social and economical…

nlin.AO2020★ 2 cited

Long-range connections and mixed diffusion in fractional networks

R. Vilela Mendes, Tanya Araújo

Networks with long-range connections obeying a distance-dependent power law of sufficiently small exponent display superdiffusion, Lévy flights and robustness properties very diffe…

nlin.AO2018★ 1 cited

Fractional networks, the new structure

R. Vilela Mendes

Real world networks have, for a long time, been modelled by scale-free networks, which have many sparsely connected nodes and a few highly connected ones (the hubs). However, both…

nlin.AO2017

Characterizing correlations and synchronization in collective dynamics

Carlos Aguirre, R. Vilela Mendes

Synchronization, that occurs both for non-chaotic and chaotic systems, is a striking phenomenon with many practical implications in natural phenomena. However, even before synchron…

nlin.AO2004

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…

nlin.AO2003

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…

nlin.AO2001

Using Immunology Principles for Anomaly Detection in Electrical Systems

P. J. Costa Branco, J. A. Dente, R. Vilela Mendes

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…

nlin.AO2000

Structure-generating mechanisms in agent-based models

R. Vilela Mendes

The emergence of dynamical structures in multi-agent systems is analysed. Three different mechanisms are identified, namely: (1) sensitive-dependence and convex coupling, (2) sensi…

nlin.AO2000★ 8 cited

Function and form in networks of interacting agents

Tanya Araujo, R. Vilela Mendes

The main problem we address in this paper is whether function determines form when a society of agents organizes itself for some purpose or whether the organizing method is more im…