 
Summary: Math. Z. 196,453462(1987) Mathematische
Zeitschrift
9 SpringerVerlag 1987
D +Stable Dynamical Systems on 2Manifolds
Konstantin Athanassopoulos
MathematicalInstitute,UniversityofAthens,57SolonosStr.,10679Athens,Greece
1. Introduction
The concept of a dynamical system of characteristic 0 + is due to T. Ura. In
[1] S. Ahmad classified these dynamical systems on N 2 and in [12] R. Knight
characterized them on p z in terms of their fixed point set. Because of the defini
tion (see 2.2), it seems that the term D+stable is better than "characteristic
0 § and we shall use it in the sequel.
In this paper we are concerned with the study of the global qualitative
behavior of D+stable dynamical systems, in connection with the topological
structure of the underlying phase spaces. More precisely, we answer the following
problems:
I. Find all the 2manifolds which can support (nontrivial) D § dynam
ical systems.
II. Describe the phase portraits of the D § dynamical systems on these
manifolds.
