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Simulations of pattern dynamics for reaction-diffusion systems via SIMULINK

机译:通过SIMULINK模拟反应扩散系统的模式动力学

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摘要

BackgroundInvestigation of the nonlinear pattern dynamics of a reaction-diffusion system almost always requires numerical solution of the system’s set of defining differential equations. Traditionally, this would be done by selecting an appropriate differential equation solver from a library of such solvers, then writing computer codes (in a programming language such as C or Matlab) to access the selected solver and display the integrated results as a function of space and time. This “code-based” approach is flexible and powerful, but requires a certain level of programming sophistication. A modern alternative is to use a graphical programming interface such as Simulink to construct a data-flow diagram by assembling and linking appropriate code blocks drawn from a library. The result is a visual representation of the inter-relationships between the state variables whose output can be made completely equivalent to the code-based solution.
机译:背景研究反应扩散系统的非线性模式动力学几乎总是需要系统定义微分方程组的数值解。传统上,这是通过从此类求解器的库中选择合适的微分方程求解器,然后编写计算机代码(以诸如C或Matlab等编程语言)来访问选定的求解器并根据空间显示积分结果来完成的和时间。这种“基于代码”的方法既灵活又强大,但是需要一定程度的编程技巧。现代的替代方法是使用图形化编程界面(例如Simulink),通过组装和链接从库中提取的适当代码块来构建数据流程图。结果是状态变量之间相互关系的直观表示,其状态输出可以完全等同于基于代码的解决方案。

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