1980 | OriginalPaper | Chapter
Attracting Cycles and Isochrons
Author : Arthur T. Winfree
Published in: The Geometry of Biological Time
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In Section A of this chapter we associate a phase with each state of a limit cycle oscillator during dynamics in the absence of any perturbing influence. In Section B a stimulus smoothly alters the trajectories so that phase changes in peculiar ways, even discontinuously. This analysis is intended to apply to smooth dynamics. Accordingly, in Section C references are compiled to models which violate this precondition and thus do not fall within the purview of this chapter.