Zhang, Xinan; Zhao, Yuling; Maeng, Xiaoming The global geometric properties of a class of homogeneous vector fields of degree two in \(R^3\). (Chinese) Zbl 0949.34022 Chin. Ann. Math., Ser. A 20, No. 4, 519-526 (1999). The authors give some studies on quadratic homogeneous systems in \(\mathbb{R}^3\). The global behavior of this kind of systems are closely related to planar quadratic systems. Some new results are obtained by using the method of qualitative analysis. Reviewer: Han Maoan (Shanghai) MSC: 34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) for ordinary differential equations 37E35 Flows on surfaces 34C37 Homoclinic and heteroclinic solutions to ordinary differential equations Keywords:tangent vector field; invariant cone; quadratic homogeneous systems PDFBibTeX XMLCite \textit{X. Zhang} et al., Chin. Ann. Math., Ser. A 20, No. 4, 519--526 (1999; Zbl 0949.34022)