Vol. 90, No. 2, 1980

Recent Issues
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Vol. 317: 1  2
Vol. 316: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Embedding asymptotically stable dynamical systems into radial flows in l2

Roger McCann

Vol. 90 (1980), No. 2, 425–429
Abstract

A dynamical system Π on a separable metric space, which has a globally asymptotically stable critical point p, can be embedded into a radial flow ρ on l2 if and only if p is uniformaly asymptotically stable. Moreover, if Π can be embedded into ρ, then there is a locally compact subset Y of l2 such that Π can be embedded into ρ restricted to Y .

Mathematical Subject Classification 2000
Primary: 54H20
Milestones
Received: 1 June 1979
Published: 1 October 1980
Authors
Roger McCann