Mode analysis of physiological oscillators intercoupled via pure time delays

DOI10.1007/BF02459419zbMath0468.92002OpenAlexW4239795313WikidataQ52729918 ScholiaQ52729918MaRDI QIDQ1156710

D. A. Linkens, R. I. Kitney

Publication date: 1982

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459419

zbMATH Keywords

method of harmonic balancetime delaysbiological oscillationsbi-directionally coupled oscillatorsmultiple-mode limit- cycle behaviour

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Control/observation systems governed by ordinary differential equations (93C15) General biology and biomathematics (92B05) Physiological, cellular and medical topics (92Cxx)

Related Items (2)

Mode analysis of a tubular structure of coupled non-linear oscillators for digestive-tract modelling ⋮ Analysis of limit-cycle conditions in intercoupled relay oscillators with reference to gastrointestinal modelling

Cites Work

• Synchronization of non-linear biochemical oscillators coupled by diffusion
• The stability of entrainment conditions for RLC coupled Van der Pol oscillators used as a model for intestinal electrical rhythms
• Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology

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