Title
Analysis And Synthesis Of Weakly Coupled Oscillators By Multivariable Harmonic Balance Approach
Abstract
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 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 coordinations among the oscillators.
Year
DOI
Venue
2006
10.1109/CDC.2006.377235
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14
Keywords
DocType
ISSN
central pattern generator,neural nets,harmonic balance,oscillations
Conference
0743-1546
Citations 
PageRank 
References 
1
0.38
5
Authors
2
Name
Order
Citations
PageRank
Zhiyong Chen116419.68
Tetsuya Iwasaki2832157.75