On the Patterns and waves in reaction-diffusion equations
博士 === 國立彰化師範大學 === 數學系所 === 99 === This thesis deals with patterns and waves in FitzHugh-Nagumo type reaction-diffusion systems . We use variational approach to investigate Turing patterns and various types of standing waves . In the study of standing waves joining with two equilibria ,we obtain he...
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2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/20842421073664418059 |
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ndltd-TW-099NCUE54790052016-04-11T04:22:19Z http://ndltd.ncl.edu.tw/handle/20842421073664418059 On the Patterns and waves in reaction-diffusion equations 反應擴散方程平衡態和波的探討 Kung, Shih-Yin 龔詩尹 博士 國立彰化師範大學 數學系所 99 This thesis deals with patterns and waves in FitzHugh-Nagumo type reaction-diffusion systems . We use variational approach to investigate Turing patterns and various types of standing waves . In the study of standing waves joining with two equilibria ,we obtain heteroclinic orbits of certain Hamiltonian systems .We further consider heteroclinic orbits of elliptic partial differential equations on infinite cylinders . Of particular interest is standing wave joining with Turing patterns . Chen, Chao-Nien 陳兆年 2011 學位論文 ; thesis 49 en_US |
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博士 === 國立彰化師範大學 === 數學系所 === 99 === This thesis deals with patterns and waves in FitzHugh-Nagumo type reaction-diffusion systems . We use variational approach to investigate Turing patterns and various types of standing waves . In the study of standing waves joining with two equilibria ,we obtain heteroclinic orbits of certain Hamiltonian systems .We further consider heteroclinic orbits of elliptic partial differential equations on infinite cylinders . Of particular interest is standing wave joining with Turing patterns .
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| author2 |
Chen, Chao-Nien |
| author_facet |
Chen, Chao-Nien Kung, Shih-Yin 龔詩尹 |
| author |
Kung, Shih-Yin 龔詩尹 |
| spellingShingle |
Kung, Shih-Yin 龔詩尹 On the Patterns and waves in reaction-diffusion equations |
| author_sort |
Kung, Shih-Yin |
| title |
On the Patterns and waves in reaction-diffusion equations |
| title_short |
On the Patterns and waves in reaction-diffusion equations |
| title_full |
On the Patterns and waves in reaction-diffusion equations |
| title_fullStr |
On the Patterns and waves in reaction-diffusion equations |
| title_full_unstemmed |
On the Patterns and waves in reaction-diffusion equations |
| title_sort |
on the patterns and waves in reaction-diffusion equations |
| publishDate |
2011 |
| url |
http://ndltd.ncl.edu.tw/handle/20842421073664418059 |
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