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order to avoid the complications arising from the possible spatially oscillatory behavior of the solutions, we worked here in a parameter range where the diffusion coefficient of the activator [Formula Presented] is lower than some critical value [Formula Presented] c13 c24 c26, beyond which the solutions became spatially oscillatory
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In order to avoid the complications arising from the possible spatially oscillatory behavior of the solutions, we worked here in a parameter range where the diffusion coefficient of the activator (Du) is lower than some critical value (Duosc) 132426, beyond which the solutions became spatially oscillatory.
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It is clear that even though we conserve the notation [Formula Presented] [Formula Presented] these parameters correspond now to the square of a diffusion length and not to diffusion constants
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It is clear that even though we conserve the notation Du and Dv, these parameters correspond now to the square of a diffusion length and not to diffusion constants.
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85036428747
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However, there is a parameter range where we can find (in addition to the trivial solution) four nonhomogeneous stationary solutions (two stable and two unstable) c13 c28, but we will not consider such a case here
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However, there is a parameter range where we can find (in addition to the trivial solution) four nonhomogeneous stationary solutions (two stable and two unstable) 1328, but we will not consider such a case here.
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