Stability and instability in the Gray-Scott model: The case of equal diffusivities

APPLIED MATHEMATICS LETTERS（1999）

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摘要

We prove that a family of explicit stationary homoclinic orbits of the Gray-Scott system of cubic autocatalysis is unstable, and that an explicit heteroclinic orbit of this system is asymptotically, and exponentially stable. (C) 1999 Elsevier Science Ltd. All rights reserved.

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关键词

homoclinic orbits,heteroclinic orbits,stability,reaction-diffusion equations,Gray-Scott model

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