Bifurcation studies in reaction-diffusion. II (Q1064457)
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scientific article; zbMATH DE number 3918880
| Language | Label | Description | Also known as |
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| English | Bifurcation studies in reaction-diffusion. II |
scientific article; zbMATH DE number 3918880 |
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Bifurcation studies in reaction-diffusion. II (English)
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1984
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[For part I, see ibid. 11, 27-37 (1984; Zbl 0555.65073]. The paper studies the bifurcation of the solution \(u=a\) of the reaction- diffusion problem \[ u_ t=u_{xx}+u(l-u)(u-a),\quad 0<a<,\quad u(- L,t)=u(L,t)=a, \] where the length L is the bifurcation parameter and a is fixed. The first few terms of the power series expansion of the bifurcating branch are found analytically and a numerical spectral method is used to investigate experimentally the stability of the solutions.
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bifurcation
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reaction-diffusion problem
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spectral method
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stability
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