Global bifurcations of a periodically forced nonlinear oscillator |
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Authors: | James P Keener Leon Glass |
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Institution: | (1) Department of Mathematics, University of Utah, 84112 Salt Lake City, UT, USA;(2) Department of Physiology, McGill University, 3655 Drummond Street, H3G 1Y6 Montreal, Quebec |
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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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Keywords: | limit cycle phase-locking chaos |
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