The number of stationary solutions for a one-dimensional Budyko-type climate model (Q5930643)

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scientific article; zbMATH DE number 1590104
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The number of stationary solutions for a one-dimensional Budyko-type climate model
scientific article; zbMATH DE number 1590104

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    The number of stationary solutions for a one-dimensional Budyko-type climate model (English)
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    23 April 2001
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    The author considers a multivalued semilinear ODE, arising from a Budyko-type energy balance climate model. After reducing -- under convenient hypotheses -- the physical problem to a bifurcation problem, he proves a global bifurcation theorem on the above model, mainly relying on Rabinowitz's bifurcation theorem. This result is then interpreted in the frame of climatology.
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    differential inclusion
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    Rabinowitz bifurcation
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    energy balance climate models
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