Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:C3L-D

Session:

Number:763

Delay reduction in networks of coupled dynamical systems

Leonhard Lücken,  Jan Philipp Pade,  Serhiy Yanchuk,  

pp.763-766

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.763

PDF download (308.2KB)

We consider networks of coupled dynamical systems with delayed interactions and discuss the possibilities of delay reductions for arbitrary coupling topologies. Using appropriate timeshift transformations, the number of interaction delays can always be reduced to at most the dimension of the cycle space of the underlying graph. For instance, in a unidirectional ring we can reduce the number of different delays to one while the roundtrip delay time is preserved. More generally, the roundtrips along a set of fundamental cycles act as an important factor in determining the dynamical behavior.

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