ON THE GLOBAL STRUCTURE OF A CLASS OF DYNAMIC SYSTEMS

摘要

For a class of dynamic systems defined in the positive cone of R{sup}n we prove the blow up of all solutions starting strictly above the unit point. Explicit conditions are obtained for blowing up in finite or infinite time, respectively. In 3 dimensions visualizations are presented for the numerically approximated interface separating the domains of attraction of 0 and ∞, respectively.