On the direction of pitchfork bifurcation
We present an algorithm for computing the direction of pitchfork bifurcation for two-point boundary value problems. The formula is rather involved, but its computational evaluation is quite feasible. As an application, we obtain a multiplicity result.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/15/h2/abstr.html |
| _version_ | 1811307840152797184 |
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| author | Xiaojie Hou Philip Korman Yi Li |
| author_facet | Xiaojie Hou Philip Korman Yi Li |
| author_sort | Xiaojie Hou |
| collection | DOAJ |
| description | We present an algorithm for computing the direction of pitchfork bifurcation for two-point boundary value problems. The formula is rather involved, but its computational evaluation is quite feasible. As an application, we obtain a multiplicity result. |
| first_indexed | 2024-04-13T09:12:32Z |
| format | Article |
| id | doaj.art-be84b3f77c794dd7ae63d2c810a05916 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T09:12:32Z |
| publishDate | 2007-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-be84b3f77c794dd7ae63d2c810a059162022-12-22T02:52:51ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-02-01Conference15153158On the direction of pitchfork bifurcationXiaojie HouPhilip KormanYi LiWe present an algorithm for computing the direction of pitchfork bifurcation for two-point boundary value problems. The formula is rather involved, but its computational evaluation is quite feasible. As an application, we obtain a multiplicity result.http://ejde.math.txstate.edu/conf-proc/15/h2/abstr.htmlPitchfork bifurcationmultiplicity of solutions. |
| spellingShingle | Xiaojie Hou Philip Korman Yi Li On the direction of pitchfork bifurcation Electronic Journal of Differential Equations Pitchfork bifurcation multiplicity of solutions. |
| title | On the direction of pitchfork bifurcation |
| title_full | On the direction of pitchfork bifurcation |
| title_fullStr | On the direction of pitchfork bifurcation |
| title_full_unstemmed | On the direction of pitchfork bifurcation |
| title_short | On the direction of pitchfork bifurcation |
| title_sort | on the direction of pitchfork bifurcation |
| topic | Pitchfork bifurcation multiplicity of solutions. |
| url | http://ejde.math.txstate.edu/conf-proc/15/h2/abstr.html |
| work_keys_str_mv | AT xiaojiehou onthedirectionofpitchforkbifurcation AT philipkorman onthedirectionofpitchforkbifurcation AT yili onthedirectionofpitchforkbifurcation |