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Fractional Order Dynamical Phenomena in a GA

E.J. Solteiro Pires1, J.A. Tenreiro Machado2, and P.B. de Moura Oliveira1

1Universidade de Trás-os-Montes e Alto Douro,
Dep. de Engenharia Electrotécnica,
Quinta de Prados,
5000-911 Vila Real, Portugal,
{epires,oliveira}@utad.pt,
http://www.utad.pt/~epires

2Instituto Superior de Engenharia do Porto,
Dep. de Engenharia Electrotécnica,
Rua Dr. António Bernadino de Almeida,
4200-072 Porto, Portugal
jtm@dee.isep.ipp.pt,
http://www.dee.isep.ipp.pt/~jtm

Abstract. This work addresses the fractional-order dynamics during the evolution of a GA, which generates a robot manipulator trajectory. In order to investigate the phenomena involved in the GA population evolution, the crossover is exposed to excitation perturbations and the corresponding fitness variations are evaluated. The input/output signals are studied revealing a fractional-order dynamic evolution, characteristic of a long-term system memory.

LNCS 2723, p. 510 f.

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