Journal of Mathematical Biology

, Volume 1, Issue 3, pp 259–273 | Cite as

Isochrons and phaseless sets

  • J. Guckenheimer


Winfree has developed mathematical models for his phase resetting experiments on biological clocks. These models lead him to ask a number of mathematical questions concerning dynamical systems. This paper deals with these mathematical questions. In Winfree's terminology we show the existence of isochrons and establish some of their properties.


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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • J. Guckenheimer
    • 1
  1. 1.Division of Natural SciencesUniversity of CaliforniaSanta CruzUSA

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