Mathematical Investigation of Populations of Coupled Synthesized Relaxation Oscillators Representing Biological Rhythms

1 January 1981

journal article
research article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Biomedical Engineering

Vol. BME-28 (1) , 10-15
https://doi.org/10.1109/tbme.1981.324839

Abstract

Mathematical investigation of populations of coupled synthesized relaxation oscillators (SRO's) is presented whereby firstly, the generic equation of the population is described; secondly, synchronization conditions are derived: and thirdly, entrainment of an SRO by a rectangular stimulus is investigated and a theoretical strength-duration curve is derived. An illustrative example is given wherein two bidirectionally coupled SRO's are simulated on a minicomputer to verify the theoretical synchronization conditions.

Keywords

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