Investigation of complex centers and focuses of two-dimensional autonomous holoporphic differential systems

Abstract

Necessary and sufficient conditions of the singular point monodromy for the two-dimensional autonomous holoporphic system with zero linear part, having the ascissa axis as the special exceptional direction, have been obtained in the paper. The new algorithm of the center and focus discrimination for the two-dimensional autonomous holomorphic system, possesing the property of the vectorial angle monotonicity on trajectories has been pointed out. Results may find their field of application in qualitative theory of two-dimensional autonomous holomorphic differential systemsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio