Embedding asymptotically stable dynamical systems into radial flows in l₂

Roger McCann

Vol. 90 (1980), No. 2, 425–429

DOI: 10.2140/pjm.1980.90.425

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