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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0709126

Entities

People

  • A. E. Hurd

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algebraic Topology
  • Geometry
  • Mathematics
  • Standards

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Systems Analysis and Design