Convergence to periodic solutions in autonomous reaction-diffusion systems in one space dimension (Q5943228)
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scientific article; zbMATH DE number 1642565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence to periodic solutions in autonomous reaction-diffusion systems in one space dimension |
scientific article; zbMATH DE number 1642565 |
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Convergence to periodic solutions in autonomous reaction-diffusion systems in one space dimension (English)
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25 September 2002
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For systems of two reaction-diffusion equations that have a certain special structure, the author establishes the Poincaré-Bendixson property of solutions. Namely, he shows that all solutions converge either to zero or to a periodic solution. He also discusses stability properties of periodic solutions.
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systems of two reaction-diffusion equations
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Poincaré-Bendixson
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