Unbounded trajectories of dynamical systems

✍ Scribed by F.G Gascon; A Pelayo; D Peralta-Salas

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 378 KB
• Volume: 17
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(04)90060-2

✦ Synopsis

It is shown that when a divergence-free vector field without zeros X is defined on a two-dimensional, noncompact manifold, which is not a cylinder, then X must possess an unbounded orbit.