A polynomial system of degree four with an invariant triangle containing at least four small amplitude limit cycles. (English) Zbl 07911232
Summary: In this work, the existence of a polynomial system of degree four with an invariant triangle containing at least four small-amplitude limit cycles is proved. This result improves the result obtained in Z. Liu et al. [Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 69, 7 p. (2010; Zbl 1292.34033)].
MSC:
| 92D25 | Population dynamics (general) |
| 58F14 | Bifurcation theory and singularities (MSC1991) |
| 58F21 | Limit cycles, singular points, etc. (MSC1991) |
