Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:C4L-D

Session:

Number:491

Selective Averaging with Application to Phase Reduction

Gerd S. Schmidt,  Jeff Moehlis,  Frank Allgöwer,  

pp.491-494

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.491

PDF download (315.7KB)

For a class of vector fields, we show that one can selectively average terms which are of the same order in a small parameter, giving an extension of standard averaging results. Such selective averaging is illustrated for the phase reduction of a system of oscillators with both coupling and external input, for which the coupling can be averaged to give a term which only depends on phase differences, while the external input term is not averaged.

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