Nonlinear and nonlocal dynamics of spatially extended systems: Stationary states, bifurcations and stability (Q1102489)
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scientific article; zbMATH DE number 4050255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear and nonlocal dynamics of spatially extended systems: Stationary states, bifurcations and stability |
scientific article; zbMATH DE number 4050255 |
Statements
Nonlinear and nonlocal dynamics of spatially extended systems: Stationary states, bifurcations and stability (English)
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1988
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The author investigates spatially extended systems with nonlocal dynamics in the neighbourhood of a stationary and uniform state. Using a multiple- scale perturbation theory, he establishes an amplitude equation and shows that the uniform state can bifurcate supercritically into a stationary state of a spatial amplitude-modulated fast oscillation. A numerical example in a particular case is also given.
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stability
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nonlocal dynamics
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stationary and uniform state
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multiple- scale perturbation theory
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numerical example
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