Pattern formation in an activator-inhibitor system

碩士 === 國立彰化師範大學 === 數學系所 === 98 === In this thesis, we study stationary solutions of a lattice dynamical system under homogeneous Neumann boundary condition. We are interested in pattern formation in such an activator-inhibitor system. A variational approach is used to obtain the existence of hetero...

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Main Author: 楊麗貞
Other Authors: 曾旭堯
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/48236562215505796193
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spelling ndltd-TW-098NCUE54790132015-11-04T04:01:38Z http://ndltd.ncl.edu.tw/handle/48236562215505796193 Pattern formation in an activator-inhibitor system 激發與抑制系統中非均勻分佈之平衡態 楊麗貞 碩士 國立彰化師範大學 數學系所 98 In this thesis, we study stationary solutions of a lattice dynamical system under homogeneous Neumann boundary condition. We are interested in pattern formation in such an activator-inhibitor system. A variational approach is used to obtain the existence of heterogeneous distributed stationary solutions. We derive an analogue of Riemann-Lebesgue Lemma to prove existence result. 曾旭堯 2010 學位論文 ; thesis 16 en_US
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language en_US
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sources NDLTD
description 碩士 === 國立彰化師範大學 === 數學系所 === 98 === In this thesis, we study stationary solutions of a lattice dynamical system under homogeneous Neumann boundary condition. We are interested in pattern formation in such an activator-inhibitor system. A variational approach is used to obtain the existence of heterogeneous distributed stationary solutions. We derive an analogue of Riemann-Lebesgue Lemma to prove existence result.
author2 曾旭堯
author_facet 曾旭堯
楊麗貞
author 楊麗貞
spellingShingle 楊麗貞
Pattern formation in an activator-inhibitor system
author_sort 楊麗貞
title Pattern formation in an activator-inhibitor system
title_short Pattern formation in an activator-inhibitor system
title_full Pattern formation in an activator-inhibitor system
title_fullStr Pattern formation in an activator-inhibitor system
title_full_unstemmed Pattern formation in an activator-inhibitor system
title_sort pattern formation in an activator-inhibitor system
publishDate 2010
url http://ndltd.ncl.edu.tw/handle/48236562215505796193
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