On connecting orbits of semilinear parabolic equations on \(S^1\) (Q1769048)
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scientific article; zbMATH DE number 2146808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On connecting orbits of semilinear parabolic equations on \(S^1\) |
scientific article; zbMATH DE number 2146808 |
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On connecting orbits of semilinear parabolic equations on \(S^1\) (English)
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16 March 2005
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The author gives a lower bound for the number of mutually distinct rotating waves and steady states of a scalar reaction-diffusion equation with periodic boundary conditions. If the Morse index of every wave is odd or zero, then it is determined which pairs of wave are connected heteroclinically as a function of certain order relations among waves and their Morse indices.
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heteroclinic orbit
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zero number
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periodic boundary conditions
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Morse index
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