Vol. 90, No. 2, 1980

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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