Abstract
The effects of periodic pulsatile stimulation on a simple mathematical model of biological oscillations, called the radial isochron clock (RIC), are investigated as a function of stimulus frequency and amplitude. This system can be reduced to a two parameter, one-dimensional circle map. Numerical and topological methods are used to give a very detailed picture of the observed bifurcations over the complete range of parameters. The bifurcations are generic for a class of models which generalize the RIC.
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Keener, J.P., Glass, L. Global bifurcations of a periodically forced nonlinear oscillator. J. Math. Biology 21, 175–190 (1984). https://doi.org/10.1007/BF00277669
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DOI: https://doi.org/10.1007/BF00277669