Short communications

Asymptotically slow motions of autonomous systems

V. V. Ivanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: Using the concept of an asymptotically slow functions we give a full description of the intrinsic properties of asymptotically stable motions of smooth autonomous systems.

Keywords: asymptotically slow functions, Poisson free motions, attracted motions, Lyapunov stability, asymptotically stable motions.

UDC: 517.93

MSC: 34C, 34D

Received September 3, 2010, published September 8, 2010