Asymptotic methods in the stability analysis of parametrized homogeneous flows

✍ Scribed by L. Moreau; D. Aeyels

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 150 KB
• Volume: 36
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/s0005-1098(00)00031-5

✦ Synopsis

We consider a collection of #ows C on 1L labeled by a parameter 50. It is assumed that trajectories of C converge * uniformly on compact time intervals * to trajectories of as 0. Extra conditions are determined under which, if has an asymptotically stable equilibrium point, then C has an asymptotically stable equilibrium point. Examples illustrating the theory are included.