HOMOGENEOUS EIGENVALUE ANALYSIS FOR COMPLEX HOMOGENEOUS SYSTEMS

In this paper, we analyze the stability of complex homogeneous systems by homogeneous eigenvalues. First, we redefine the complex homogeneity. Second, we obtain some properties of complex homogeneous functions, complex homogeneous vector fields, and complex homogeneous systems. Finally, we analyze the stability of complex homogeneous systems by homogeneous eigenvalues.