Dynamical systems of characteristic 0

Ronald Allen Knight

Vol. 41 (1972), No. 2, 447–457

DOI: 10.2140/pjm.1972.41.447

Abstract

The purpose of this paper is to characterize planar dynamical systems satisfying certain stability criterion. These flows are called dynamical systems of characteristic 0. Basically the set S of critical points of such a flow is shown to be in one of three categories: S = ∅;S consists of at most two Poincaré centers; or S = R².

Mathematical Subject Classification 2000

Primary: 54H20

Secondary: 34C35

Milestones

Received: 10 November 1970

Revised: 26 October 1971

Published: 1 May 1972