Mode analysis of physiological oscillators intercoupled via pure time delays

Research paper by D. A. Linkens, R. I. Kitney

Indexed on: 01 Jan '82Published on: 01 Jan '82Published in: Bulletin of Mathematical Biology


The study of bi-directionally coupled oscillators is relevant in biological modelling of such systems as gastro-intestinal electrical activity, cardiac pacemarkers, cardiovascular and respiratory interactions and circadian rhythms. Interconnecting pathways in biological systems often exhibit pure time-delay characteristics. In this paper the multiple-mode limit-cycle behaviour of such systems is analysed using the method of harmonic blance. It is shown that the coupling time delay radically affects the number, frequency and amplitudes of entrained limit-cycles.