The ampsys tool of pde2path

The ampsys tool of pde2path
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pde2path的ampsys工具

DOI:
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发表时间:
2019
期刊:
影响因子:
--
通讯作者:
Daniel Wetzel
Daniel Wetzel
中科院分区:
--
文献类型:
--
作者:
H. Uecker;Daniel Wetzel

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图灵分叉的振幅系统的系数的计算是一个简单的,但有时复杂的任务,特别是对于2D或3D波矢量晶格。Matlab工具ampsys自动化这样的计算两类问题,即Swift-Hohenberg型和推广的标量方程,和具有任意数量的组件的反应扩散系统。该工具被设计为需要最少的用户输入,并且在许多情况下还可以处理符号计算。在简要回顾了振幅系统的设置之后,我们通过各种波矢量晶格上的一些1D,2D和3D示例来解释该工具。
The computation of coefficients of amplitude systems for Turing bifurcations is a straightforward but sometimes elaborate task, in particular for 2D or 3D wave vector lattices. The Matlab tool ampsys automates such computations for two classes of problems, namely scalar equations of Swift-Hohenberg type and generalizations, and reaction-diffusion systems with an arbitrary number of components. The tool is designed to require minimal user input, and for a number of cases can also deal with symbolic computations. After a brief review of the setup of amplitude systems we explain the tool by a number of 1D, 2D and 3D examples over various wave vector lattices.
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DOI: 10.1016/j.physd.2020.132383
发表时间: 2019
期刊: Physica D: Nonlinear Phenomena
影响因子: --
作者:
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通讯作者: D. Wetzel
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期刊: Physical review. E
影响因子: --
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