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arXiv · 2512.08338

Heteroclinic networks in an ensemble of generalized Lotka-Volterra elements

Alexander Korotkov·Ekaterina Syundyukova·Elena Gubina·Grigory Osipov
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Abstract

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.

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Alexander Korotkov, Ekaterina Syundyukova, Elena Gubina, Grigory Osipov. 2025-12-09. Heteroclinic networks in an ensemble of generalized Lotka-Volterra elements. https://arxiv.org/abs/2512.08338

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