期刊
STUDIES IN APPLIED MATHEMATICS
卷 109, 期 3, 页码 229-264出版社
WILEY-BLACKWELL
DOI: 10.1111/1467-9590.00223
关键词
-
Asymmetric spike patterns are constructed for the two-component Schnakenburg reaction-diffusion system in the singularly perturbed limit of a small diffusivity of one of the components. For a pattern with k spikes, the construction yields k(1) spikes that have a common small amplitude and k(2) = k - k(1) spikes that have a common large amplitude. A k-spike asymmetric equilibrium solution is obtained from an arbitrary ordering of the small and large spikes on the domain. Explicit conditions for the existence and linear stability of these asymmetric spike patterns are determined using a combination of asymptotic techniques and spectral properties associated with a certain nonlocal eigenvalue problem. These asymmetric solutions are found to bifurcate from symmetric spike patterns at certain critical values of the parameters. Two Interesting conclusions are that asymmetric patterns can exist for a reaction-diffusion system with spatially homogeneous coefficients under Neumann boundary conditions and that these solutions can be linearly stable on an O(1) time scale.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据