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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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6 papers · 1 filter

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…

hep-th2000★ 1 cited

Gauge strata and particle generations

R. Vilela Mendes

Phenomenological evidence suggests the existence of non-trivial background fields in the QCD vacuum. On the other hand SU(3) gauge theory possessses three different classes of both…

cs.CL2000★ 3 cited

Language identification of controlled systems: Modelling, control and anomaly detection

J. F. Martins, J. A. Dente, A. J. Pires +1

Formal language techniques have been used in the past to study autonomous dynamical systems. However, for controlled systems, new features are needed to distinguish between informa…

nlin.CD2000★ 23 cited

From synchronization to multistability in two coupled quadratic maps

Rui Carvalho, Bastien Fernandez, R. Vilela Mendes

The phenomenology of a system of two coupled quadratic maps is studied both analytically and numerically. Conditions for synchronization are given and the bifurcations of periodic…

quant-ph2000★ 86 cited

Lyapunov exponent in quantum mechanics. A phase-space approach

V. I. Man'ko, R. Vilela Mendes

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…