Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 7: Poster I

DY 7.15: Poster

Montag, 11. März 2013, 17:30–19:30, Poster C

Evolutionary optimisation of dynamical networks — •Steffen Karalus — Institut für Theoretische Physik, Universität zu Köln, Germany

A large class of empirical networks structurally evolve in the course of time adapting their topology to better fit the functional requirements. This functionality in most cases is associated with dynamical processes based on the network in the sense that the topology defines the local interaction pattern between the individual dynamical units. Thus, in the evolutionary process mutations act on the network topology whereas selection acts on a ‘fitness’ provided by dynamical properties. In many empirical situations the speed of the evolutionary dynamics is much slower than the process dynamics so that the two time scales can be considered as well separated. Exploiting these ideas it has been shown that network structures can be successfully evolved such that non-trivial dynamical behaviour emerges [1].

I will present further developments for improving the efficiency of the evolutionary dynamics as well as for providing deeper insight into the mechanisms of network evolution and the relation between network structure and dynamics in general. By this, not only more complicated dynamical problems and larger system sizes will become tractable but also a better understanding of the complexity of network evolution and how different evolutionary strategies perform can be achieved.

[1] S. Karalus and M. Porto, EPL 99, 38002 (2012).