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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| Format: | Others |
| Language: | en_US |
| Published: |
2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/20842421073664418059 |
| Summary: | 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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