Hopf bifurcation in a stomatal oscillator |
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Authors: | R H Rand S K Upadhyaya J R Cooke D W Storti |
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Institution: | (1) Departments of Theoretical and Applied Mechanics and Agricultural Engineering, Cornell University, 14853 Ithaca, NY, USA |
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Abstract: | 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. |
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Keywords: | Bifurcation Stomata Oscillation Nonlinear dynamics |
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