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Hopf bifurcation with the spatial average of an activator in a radially symmetric free boundary problem - MaRDI portal

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Hopf bifurcation with the spatial average of an activator in a radially symmetric free boundary problem (Q613823)

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scientific article; zbMATH DE number 5829232
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English
Hopf bifurcation with the spatial average of an activator in a radially symmetric free boundary problem
scientific article; zbMATH DE number 5829232

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    Hopf bifurcation with the spatial average of an activator in a radially symmetric free boundary problem (English)
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    23 December 2010
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    Summary: An interface problem derived from a bistable reaction-diffusion system with the spatial average of an activator is studied on an \(n\)-dimensional ball. We analyze the existence of the radially symmetric solutions and the occurrence of Hopf bifurcation as a parameter varies in two and three-dimensional spaces.
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    interface problem
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    radially symmetric solutions
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