Pattern formation with control theory
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- 英文论文题名：Pattern formation with control theory
- 论文作者：Jianwei Shen
- 英文论文作者：Jianwei Shen ; Institute of Applied Mathematics ; Xuchang University
- 年：2016
- 作者机构：Institute of Applied Mathematics, Xuchang University;
- 英文论文关键词：Turing instability ; Immunity system ; Control theory ; pattern formation
- 会议召开时间：2016-05-06
- 会议录名称：第十届动力学与控制学术会议摘要集
- 语种：英文
- 分类号：TP13
- 学会代码：AGLU
- 会议名称：第十届动力学与控制学术会议
- 会议地点：中国四川成都
- 主办单位：中国力学学会动力学与控制专业委员会
- 学会名称：中国力学学会
- 页数：1
- 文件大小：740k
- 原文格式：D
- 会议级别：全国
摘要
Pattern dynamics behavior of reaction-diffusion equation play an important role in biology chemistry and morphology etc, but it is often investigated by controlling parameter in the model.In fact,there are always a lot of variables fixed in a complex system.In this paper, we investigate pattern dynamics of a immunity system with control theory by using the method of matrix analysis and obtain a optimal condition under which the system loses stability, Turing pattern occurs. The method above presented is a novel approach to the investigation of specific reaction diffusion systems based on the model developed in this paper, especially to investigate the type of pattern formation with modern control theory. And the simulation used in this paper validate our theoretical results.
Pattern dynamics behavior of reaction-diffusion equation play an important role in biology chemistry and morphology etc, but it is often investigated by controlling parameter in the model.In fact,there are always a lot of variables fixed in a complex system.In this paper, we investigate pattern dynamics of a immunity system with control theory by using the method of matrix analysis and obtain a optimal condition under which the system loses stability, Turing pattern occurs. The method above presented is a novel approach to the investigation of specific reaction diffusion systems based on the model developed in this paper, especially to investigate the type of pattern formation with modern control theory. And the simulation used in this paper validate our theoretical results.
Pattern dynamics behavior of reaction-diffusion equation play an important role in biology chemistry and morphology etc, but it is often investigated by controlling parameter in the model.In fact,there are always a lot of variables fixed in a complex system.In this paper, we investigate pattern dynamics of a immunity system with control theory by using the method of matrix analysis and obtain a optimal condition under which the system loses stability, Turing pattern occurs. The method above presented is a novel approach to the investigation of specific reaction diffusion systems based on the model developed in this paper, especially to investigate the type of pattern formation with modern control theory. And the simulation used in this paper validate our theoretical results.
引文