On the validity of Zeeman's classification for three dimensional competitive differential equations with linearly determined nullclines

DOI10.1016/j.jde.2017.08.022zbMath1381.34068OpenAlexW2750573223WikidataQ62125442 ScholiaQ62125442MaRDI QIDQ2407143

Lei Niu, Ji-Fa Jiang

Publication date: 28 September 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.08.022

zbMATH Keywords

Hopf bifurcationperiodic orbitheteroclinic cyclecompetitive systemcarrying simplexstable nullcline classification

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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