Accession Number : AD0709126

Title :   NON-STANDARD ANALYSIS OF DYNAMICAL SYSTEMS I: LIMIT MOTIONS, STABILITY,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s) : Hurd,A. E.

Report Date : 1969

Pagination or Media Count : 55

Abstract : The methods of Non-standard Analysis are applied to the study of the qualitative theory of dynamical systems. The non-standard notions connected with limiting behavior of motions (limit sets, etc.) are developed, and then applied to the study of stability theory, including stability of sets, attracting properties, first prolongations and stability of motions. (Author)

Descriptors :   (*MATHEMATICAL LOGIC, DYNAMICS), MOTION, TOPOLOGY, SET THEORY, STABILITY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE