Analysis of limit-cycle conditions in intercoupled relay oscillators with reference to gastrointestinal modelling |
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Authors: | D P Atherton D A Linkens |
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Institution: | (1) School of Engineering and Applied Sciences, University of Sussex, Brighton, UK;(2) Department of Control Engineering, University of Sheffield, Sheffield, UK |
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Abstract: | This paper presents an exact analysis of a mutually coupled relay oscillator based on a method orignated by Tsypkin. Limit-cycle
frequencies and phases can be determined exactly using this method, unlike other approximate methods based on describing functions
and harmonic balance techniques. A new method of exact determination of limit-cycle stability is also shown to give excellent
agreement with simulation studies. Different types of intercoupling are shown to give different stability conditions, and
these are discussed in relation to gastrointestinal (GI) smooth muscle modelling. GI tract electrical activity has previously
been modelled using bidirectionally coupled nonlinear oscillators, and the results of the present analysis of relay oscillators
is compared with other studies using van der Pol dynamics. |
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Keywords: | |
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