On Cycles in Models of Functioning of Circular Gene Networks
We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existen...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-05, Vol.246 (6), p.779-787 |
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| container_end_page | 787 |
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| container_issue | 6 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 246 |
| creator | Golubyatnikov, V. P. Kirillova, N. E. |
| description | We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existence of at least two cycles in the phase portrait. |
| doi_str_mv | 10.1007/s10958-020-04780-7 |
| format | Article |
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| ispartof | Journal of mathematical sciences (New York, N.Y.), 2020-05, Vol.246 (6), p.779-787 |
| issn | 1072-3374 1573-8795 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Analysis Computer simulation Dynamical systems Genes Mathematics Mathematics and Statistics |
| title | On Cycles in Models of Functioning of Circular Gene Networks |
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