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Mathematics Division, Northeast Missouri State University, Kirksville, 63501, U.S.A.

ABSTRACT

Using fundamental dynamic equations we completely characterize on Hausdorff phase spaces the class of nonwandering flows; the classes and several subclasses of flows of characteristics 0+, 0-, and 0% several subclasses of the flows of characteristic 0; the classes and several subclasses of positively, negatively. and bilaterally Poisson stable flows; the class of flows with compact orbits; the class of critical flows; several classes of flows without periodic points; and several classes of flows with positively (negatively, bilaterally) Poisson stable points, positively (negatively. bilaterally) divergent points. positively (negatively, bilaterally) weak attracting points, and positively (negatively, bilaterally) minimal orbit closures.