The University of Edinburgh -
Division of Informatics
Forrest Hill & 80 South Bridge

MSc Thesis #9724

Title:Periodic Orbits in Networks
Date:Sep 1997
Abstract:This thesis looks at the emergence of periodic cycles in the behaviour of various networks, both discrete and continuous. Initially we look at 1D cellular automata. Then we shall generalise to less ordered cellular automata such as random Boolean networks. In particular we shall investigate the length, number and stability of cycles, as well as their basins of attraction. Then the emergence of cycles in continuous recurrent networks will be studied and any parallels with discrete systems noted. In all cases we shall consider how tunable parameters can be found to allow the choice of systems with the required dynamical behaviour. Finally the possible applications and ocurrence of these phenomena will be commented on, including cell differentiation, proactive robot controllers and memorisation.

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