International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 1, Pages 185-196
doi:10.1155/S0161171295000238
Vector fields generating more than one flow
Slawomir Dorosiewicz1
and Kazimierz Napiórkowski2
1Institute of Econometry, Central School of Planning and Statistics, AI. Niepodległości 162, Warsaw 02-519, Poland
2Department of Mathematical Methods in Physics, Warsaw University, Hoźa 74, Warsaw 00-682, Poland
Abstract
Vector fields generating more than one flow on a manifold are constructed. For one-dimensional case a complete description of the set of flows is given. For dimensions larger than one a method of constructing vector fields with dense or open branched sets sets is given. Density of vector fields with nonempty sets of branched points is studied.