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Mode analysis of physiological oscillators intercoupled via pure time delays (1982)

Linkens, D. A. ; Kitney, R. I.

Springer

Bulletin of mathematical biology 44 (1982), S. 57-74

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ISSN: 1522-9602

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Abstract 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02459419

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