Title :
Analysis of weakly coupled neuronal oscillators and its applications to leech swimming
Author :
Chen, Zhiyong ; Iwasaki, Tetsuya
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Callaghan, NSW, Australia
Abstract :
This paper introduces a mathematical tool for analyzing neuronal oscillator circuits based on multivariable harmonic balance (MHB). The tool is applied to a model of the central pattern generator (CPG) for leech swimming, which comprises a chain of weakly coupled segmental oscillators. The results demonstrate the effectiveness of the MHB method and provide analytical explanations for some CPG properties.
Keywords :
biology; multivariable systems; neural net architecture; oscillators; CPG property; MHB method; central pattern generator application; leech swimming; multivariable harmonic balance; segmental oscillators; weakly coupled neuronal oscillators circuit; Approximation methods; Couplings; Eigenvalues and eigenfunctions; Equations; Harmonic analysis; Mathematical model; Oscillators; Central pattern generator; Coupled oscillators; Harmonic balance; Neuronal networks;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5554460