The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation
We present a three-dimensional differential equation, which robustly displays a degenerate Andronov–Hopf bifurcation of infinite codimension, leading to a center, i.e., an invariant two-dimensional surface that is filled with periodic orbits surrounding an equilibrium. The system arises from a three...
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| Format: | Journal article |
| Language: | English |
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Elsevier
2023
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| _version_ | 1797110604912132096 |
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| author | Banaji, M Boros, B Hofbauer, J |
| author_facet | Banaji, M Boros, B Hofbauer, J |
| author_sort | Banaji, M |
| collection | OXFORD |
| description | We present a three-dimensional differential equation, which robustly displays a degenerate Andronov–Hopf bifurcation of infinite codimension, leading to a center, i.e., an invariant two-dimensional surface that is filled with periodic orbits surrounding an equilibrium. The system arises from a three-species bimolecular chemical reaction network consisting of four reactions. In fact, it is, up to a natural equivalence, the only such mass-action system that admits a center via an Andronov–Hopf bifurcation. |
| first_indexed | 2024-03-07T07:57:10Z |
| format | Journal article |
| id | oxford-uuid:34b22104-f8ef-4f31-8b7b-e8891252e228 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:57:10Z |
| publishDate | 2023 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:34b22104-f8ef-4f31-8b7b-e8891252e2282023-09-04T14:26:41ZThe smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:34b22104-f8ef-4f31-8b7b-e8891252e228EnglishSymplectic ElementsElsevier2023Banaji, MBoros, BHofbauer, JWe present a three-dimensional differential equation, which robustly displays a degenerate Andronov–Hopf bifurcation of infinite codimension, leading to a center, i.e., an invariant two-dimensional surface that is filled with periodic orbits surrounding an equilibrium. The system arises from a three-species bimolecular chemical reaction network consisting of four reactions. In fact, it is, up to a natural equivalence, the only such mass-action system that admits a center via an Andronov–Hopf bifurcation. |
| spellingShingle | Banaji, M Boros, B Hofbauer, J The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation |
| title | The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation |
| title_full | The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation |
| title_fullStr | The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation |
| title_full_unstemmed | The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation |
| title_short | The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation |
| title_sort | smallest bimolecular mass action system with a vertical andronov hopf bifurcation |
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