Four limit cycles in three-dimensional Lotka-Volterra competitive systems with classes 28, 30 and 31 in Zeemans classification via automatic search
Dynamical Systems
2023-03-16 v4 Classical Analysis and ODEs
Abstract
Four limit cycles are constructed for classes 28, 30 and 31 in Zeeman's classification, together with the results in [5 ] for class 27, [20] for class 29 and [22] for class 26 which indicate that for each class among classes 26-31, there exist at least four limit cycles. This gives a partial answer to a problem proposed in [22] as well as in [7].
Keywords
Cite
@article{arxiv.2301.06809,
title = {Four limit cycles in three-dimensional Lotka-Volterra competitive systems with classes 28, 30 and 31 in Zeemans classification via automatic search},
author = {Mingzhi Hu and Zhengyi Lu and Yong Luo},
journal= {arXiv preprint arXiv:2301.06809},
year = {2023}
}
Comments
18 pages, 2 figure