Mode Analysis of a Tubular Structure of Coupled Non-Linear Oscillators for Small-Intestinal Modelling
Alian, S.E.D. and Linkens, D.A.
(1982)
Mode Analysis of a Tubular Structure of Coupled Non-Linear Oscillators for Small-Intestinal Modelling.
Research Report.
ACSE Report 186
.
Department of Control Engineering, University of Sheffield, Mappin Street, Sheffield
Abstract
A commonly accepted mathematical model for the slow-wave electrical activity of the gastro-intestinal tract of humans and animals comprises a set of interconnected non-linear oscillators. Using a van der Pol oscillator with third-power conductance characteristics as the unit oscillator a number of structures have been analysed using a matrix Krylov-Bogolioubov method linearisation. Thus mode analysis of one dimensional chains and two-dimensional arrays have been reported. In this paper, the method is extended to consider a tubular structure which is relevant to modelling small intestinal rhythms. It is shown that this structure is capable of producing stable single modes, nonresonant double modes and degenerate modes. General expressions are obtained for an mxn structure and examples given of two special conditions of 3x4 (i.e. odd numbers of oscillators in a ring) and 4x3 cases. The analytical results obtained for these two cases have been verified experimentally using an electronic implementation of coupled van der Pol oscillators.
Metadata
Authors/Creators:
Alian, S.E.D.
Linkens, D.A.
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)