Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Issue on Recent Progress in Nonlinear Theory and Its Applications
Selective averaging with application to phase reduction and neural control
Gerd S. SchmidtDan WilsonFrank AllgöwerJeff Moehlis
著者情報
ジャーナル フリー

2014 年 5 巻 4 号 p. 424-435

詳細
抄録
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. For a coupled two-neuron system, we use selectively averaged equations to find the optimal input which takes the in-phase state to the anti-phase state.
著者関連情報
© 2014 The Institute of Electronics, Information and Communication Engineers
前の記事 次の記事
feedback
Top