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

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.