Bifurcation of spatially inhomogeneous auto-oscillations from a non-local homogeneous cycle in systems with small diffusion (Q1280075)
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scientific article; zbMATH DE number 1259433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation of spatially inhomogeneous auto-oscillations from a non-local homogeneous cycle in systems with small diffusion |
scientific article; zbMATH DE number 1259433 |
Statements
Bifurcation of spatially inhomogeneous auto-oscillations from a non-local homogeneous cycle in systems with small diffusion (English)
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15 March 1999
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The paper deals with the qualitative analysis of steady-state solutions for a nonlinear parabolic system with small diffusion. The authors apply the method of quasi-normal forms for constructing auto-oscillations, and they obtain the existence of a structurally stable equilibrium cycle. There are also studied the dynamics of the quasi-normal form, as well as the stability and bifurcation properties of travelling waves.
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nonlinear heat equation
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structurally stable equilibrium cycle
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Neumann condition
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stability
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quasi-normal form
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travelling waves
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