Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation (Q1376725)
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scientific article; zbMATH DE number 1107124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation |
scientific article; zbMATH DE number 1107124 |
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Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation (English)
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25 May 1999
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The authors consider the generalized Swift-Hohenberg equation \(u_t=\alpha u+\beta u^2 - u^3 - (1+\Delta)^2u\) and find a number of stationary localized solutions by using the theory of homoclinic orbits to a saddle-focus equilibrium and some results of symmetric differential operators along with computer simulations.
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theory of homoclinic orbits
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saddle-focus equilibrium
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symmetric differential operators
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computer simulations
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