Topological Methods in Nonlinear Analysis

Notes on circadian rhythm

Claudio Saccon and Robert E.L. Turner

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Abstract

We discuss a class of models arising in the study of circadian rhythm and the properties of the matrix equations providing the bifurcation points for a wide parameter class. In particular, we prove that the five dimensional system studied in the cited work of Gonze, Halloy, and Goldbeter can have only a simple Hopf bifurcation.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 41, Number 2 (2013), 387-400.

Dates
First available in Project Euclid: 21 April 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1461245484

Mathematical Reviews number (MathSciNet)
MR3114314

Zentralblatt MATH identifier
1291.34084

Citation

Saccon, Claudio; Turner, Robert E.L. Notes on circadian rhythm. Topol. Methods Nonlinear Anal. 41 (2013), no. 2, 387--400. https://projecteuclid.org/euclid.tmna/1461245484


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References

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