Matrix perturbation analysis for weakly coupled oscillators

Title: Matrix perturbation analysis for weakly coupled oscillators
Creator: Chen, Zhiyong; Iwasaki, Tetsuya
Relation: Systems and Control Letters Vol. 58, Issue 2, p. 148-154
Publisher Link: http://dx.doi.org/10.1016/j.sysconle.2008.10.002
Publisher: Elsevier
Resource Type: journal article
Date: 2009
Description: The central pattern generator for controlling animal locomotion is generally not a single oscillator but a group of interconnected oscillators. Although the whole group can be analyzed as a bulky single oscillator, it is difficult with such an approach to reveal the essential mechanism of phase coordination among oscillators. In this paper, a new approach based on the multivariable harmonic balance is used to analyze a group of identical oscillators that are weakly coupled to each other. Specifically, a lower dimensional matrix representing the coupling structure is abstracted from the overall neuronal connectivity matrix of large dimension, so that the coupling matrix captures the essential mechanism for phase coordination of the oscillators. Moreover, this framework provides an effective way to design the neuronal interconnections to achieve prescribed coordination among the oscillators.
Subject: harmonic balance; central pattern generator; coupled oscillators
Identifier: http://hdl.handle.net/1959.13/806521
Identifier: uon:7135
Identifier: ISSN:0167-6911
Language: eng
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