Isochrons and phaseless sets
- 1 September 1975
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of Mathematical Biology
- Vol. 1 (3), 259-273
- https://doi.org/10.1007/bf01273747
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- Algebraic TopologyPublished by Springer Science and Business Media LLC ,1981
- Patterns of phase compromise in biological cyclesJournal of Mathematical Biology, 1974
- A classification of elementary cyclesTopology, 1970
- Differentiable dynamical systemsBulletin of the American Mathematical Society, 1967
- Structural stability on two-dimensional manifoldsTopology, 1962
- Foundations of Modern Analysis. By J. Dieudonné. Pp. 361. $8.50. 1960. (Academic Press, New York)The Mathematical Gazette, 1962