On a theorem of François Robert
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912238365835264 |
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| author | Mossé, Brigitte Pignol, Sasha Remy, Elisabeth |
| author_facet | Mossé, Brigitte Pignol, Sasha Remy, Elisabeth |
| contents | A well-known theorem by François Robert expresses the degenerated character of a synchronous Boolean finite dynamical system, in the case where the associated regulatory graph does not contain any circuit: all states of the system go towards a single fixed point. We present a large family of updating modes of Boolean models with the same particularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13750 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a theorem of François Robert Mossé, Brigitte Pignol, Sasha Remy, Elisabeth Dynamical Systems Combinatorics 37-05 A well-known theorem by François Robert expresses the degenerated character of a synchronous Boolean finite dynamical system, in the case where the associated regulatory graph does not contain any circuit: all states of the system go towards a single fixed point. We present a large family of updating modes of Boolean models with the same particularity. |
| title | On a theorem of François Robert |
| topic | Dynamical Systems Combinatorics 37-05 |
| url | https://arxiv.org/abs/2502.13750 |