Complex homogeneous eigenvalues for complexhomogeneous systems

摘要

In this paper, we define a complex homogeneous system. Then, we show the relationshipbetween a real homogeneous system and a complex homogeneous system, and we show thetransformation from a real homogeneous system to a complex homogeneous system such that thesolution of the real system is a solution for the complex system. Finally, we show the stability ofcomplex homogeneous systems using complex homogeneous eigenvalues.