PageHeader : Funkcialaj Ekvacioj, 13 (1970), 67-95 Title : Planar Dynamical Systems Title : without Critical Points1) AuthorInfo : By Roger C. McCANN2) AuthorInfo : (Case Western Reserve University) section : Introduction. section : Definitions and Notation. section : SECTION I Basic Properties of a Dynamical System on $S^{2}$ Containing a Unique Critical Point. section : SECTION II Maximal Dynamical Subsystems. section : SECTION III The Set M and Index j. section : SECTION IV The Relations || and J. section : SECTION V Isomorphisms Between Sets of Separatrices section : SECTION VI Isomorphisms of Closures of the Separatrix Sets section : References