Heteroclinic networks in an ensemble of generalized Lotka-Volterra elements
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911309548748800 |
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| author | Korotkov, Alexander Syundyukova, Ekaterina Gubina, Elena Osipov, Grigory |
| author_facet | Korotkov, Alexander Syundyukova, Ekaterina Gubina, Elena Osipov, Grigory |
| contents | In this article the generalized Lotka-Volterra model of ensemble of four excitory or inhibitory coupled elements are studied. It is shown that in the phase space of the model there exist heteroclinic network: a connected union of two or more heteroclinic cycles. A partition of the plane of coupling parameters into sets of existence of various heteroclinic networks is constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08338 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Heteroclinic networks in an ensemble of generalized Lotka-Volterra elements Korotkov, Alexander Syundyukova, Ekaterina Gubina, Elena Osipov, Grigory Pattern Formation and Solitons In this article the generalized Lotka-Volterra model of ensemble of four excitory or inhibitory coupled elements are studied. It is shown that in the phase space of the model there exist heteroclinic network: a connected union of two or more heteroclinic cycles. A partition of the plane of coupling parameters into sets of existence of various heteroclinic networks is constructed. |
| title | Heteroclinic networks in an ensemble of generalized Lotka-Volterra elements |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2512.08338 |