The method of harmonic balance applied to coupled asymmetrical van der pol oscillators for intestinal modelling

✍ Scribed by D.A. Linkens

• Publisher: Springer
• Year: 1979
• Tongue: English
• Weight: 725 KB
• Volume: 41
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(79)80009-9

✦ Synopsis

The spontaneous electrical rhythms recorded from the gastro-intestinal tract of h~amans and animals have been successfully modelled by an array of interconnected van der Pol oscillators. To account for asymmetry in the recorded waveforms (with particular reference to the human small intestine) an additional term in the van der Pol dynamics has been included. It is shown that the method of harmonic balance can be used to give analytical results for this asymmetrical condition. The non-linear algebraic equations are solved by hill-climbing to give values of d.c., fundamental and second harmonic amplitudes together with the entrained frequency. The results correlate well with actual measurements made on an analogue simulation by three different methods for waveshape factors of 0,1 and 1.0.