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Multiple local and global bifurcations and their role in quorum sensing dynamics
| dc.contributor.author | Harris, M. | |
| dc.contributor.author | Rivera–Estay, V. | |
| dc.contributor.author | Aguirre, P. | |
| dc.contributor.author | Breña–Medina, V. F. | |
| dc.date.accessioned | 2025-06-12T14:27:50Z | |
| dc.date.available | 2025-06-12T14:27:50Z | |
| dc.date.issued | 2025 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/6149 | |
| dc.description.abstract | Quorum sensing governs bacterial communication, playing a crucial role in regulating population behaviour. We propose a mathematical model that uncovers chaotic dynamics within quorum sensing networks, highlighting challenges to predictability. The model explores interactions between autoinducers and two bacterial subtypes, revealing oscillatory dynamics in both a constant autoinducer submodel and the full three-component model. In the latter case, we find that the complicated dynamics can be explained by the presence of homoclinic Shilnikov bifurcations. We employ a combination of normal-form analysis and numerical continuation methods to analyse the system. | es_CL |
| dc.language.iso | en | es_CL |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| dc.source | ANZIAM Journal, 67, e17 | es_CL |
| dc.subject | Homoclinic bifurcation | es_CL |
| dc.subject | Normal forms | es_CL |
| dc.subject | Chaotic dynamics | es_CL |
| dc.subject | Quorum sensing | es_CL |
| dc.title | Multiple local and global bifurcations and their role in quorum sensing dynamics | es_CL |
| dc.type | Article | es_CL |
| dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
| dc.ucm.indexacion | Scopus | es_CL |
| dc.ucm.indexacion | Isi | es_CL |
| dc.ucm.uri | cambridge.org/core/journals/anziam-journal/article/abs/multiple-local-and-global-bifurcations-and-their-role-in-quorum-sensing-dynamics/1D5B24FC53BCADFF218ACB0108E07796 | es_CL |
| dc.ucm.doi | doi.org/10.1017/S1446181125000100 | es_CL |
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