Stability of oscillations in the spatially extended May-Leonard model
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929731348201472 |
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| author | Sorin, Idan Nepomnyashchy, Alexander Volpert, Vladimir |
| author_facet | Sorin, Idan Nepomnyashchy, Alexander Volpert, Vladimir |
| contents | The May-Leonard model for three competing species, symmetric with respect to
cyclic permutation of the variables and extended by diffusive terms, is considered.
Exact time-periodic solutions of the system have been found, and their stability
with respect to spatially periodic disturbances is studied. The stability of solu tions with respect to longwave spatial modulations is revealed. A period doubling
instability breaking the spatial uniformity is found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18048 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of oscillations in the spatially extended May-Leonard model Sorin, Idan Nepomnyashchy, Alexander Volpert, Vladimir Mathematical Physics 37N25 35K57 37C75 The May-Leonard model for three competing species, symmetric with respect to cyclic permutation of the variables and extended by diffusive terms, is considered. Exact time-periodic solutions of the system have been found, and their stability with respect to spatially periodic disturbances is studied. The stability of solu tions with respect to longwave spatial modulations is revealed. A period doubling instability breaking the spatial uniformity is found. |
| title | Stability of oscillations in the spatially extended May-Leonard model |
| topic | Mathematical Physics 37N25 35K57 37C75 |
| url | https://arxiv.org/abs/2502.18048 |