Flows equivalences

Gabriel Soler López

Abstract

Given a differential equation on an open set O of an n-manifold we can associate to it a pseudo-flow, that is, a flow whose trajectories may not be defined in the entire real line. In this paper we prove that this pseudo-flow is always equivalent to a flow with its trajectories defined in all R. This result extends a similar result of Vinograd stated in the n-dimensional Euclidean space.


Keywords

Flow; Pseudo-flow; Equivalence diffeomorphism

Subject classification

37E35; 37C15;58C25

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1. Accumulation points of nonrecurrent orbits of surface flows
Vı́ctor Jiménez López, Gabriel Soler López
Topology and its Applications  vol: 137  issue: 1-3  first page: 187  year: 2004  
doi: 10.1016/S0166-8641(03)00208-6



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt