Hopf bifurcation in a stomatal oscillator


Hopf bifurcation in a stomatal oscillator

by Rand R. H., Upadhyaya S. K., Cooke J. R., Storti D. W. (1981)

in Journal of Mathematical Biology 12, 111. – doi:10.1007/BF00275199

CrossRef – 



Stomata are microscopic openings in leaves of green plants which permit gas exchange.

This paper presents a parameter study of a model of a stomatal oscillator first derived by Delwiche and Cooke in 1977.

We prove the existence of an unstable limit cycle by using the theory of the Hopf bifurcation. Other bifurcations exhibited by the model are also discussed.


Published by

Willem Van Cotthem

Honorary Professor of Botany, University of Ghent (Belgium). Scientific Consultant for Desertification and Sustainable Development.

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