title: Mesocopic comparison of complex networks based on periodic orbits.
abstract: Complex noiseless dynamical systems can be represented in a compressed manner by unstable periodic orbits. It is unknown, however, how to use this technique to obtain a suitable notion of similarity among them, how to extend such an approach to more general complex networks, and how to apply such a method in the important case of noisy systems. Our approach provides a solution to these questions. For a proof-of-concept, we consider Drosophila's precopulatory courtship, where our method reveals the existence of a complex grammar (similar to those found in complex physical systems and in language), leading to the conclusion that the observed grammar is very unlikely the product of chance.
authors: Institute of Neuroinformatics, University of Zürich and ETH Zürich, Winterthurerstr. 190, 8057 Zürich, Switzerland. ruedi@ini.phys.ethz.ch
authors: R
authors: R
authors: Stoop
authors: J
authors: J
authors: Joller
mesh_terms: D000818:Animals; D003380:Courtship; D004331:Drosophila melanogaster / Q000502:physiology*; D005260:Female; D008297:Male; D008954:Models, Biological; D010507:Periodicity