Theoretical Investigations of Chaotic Dynamics.

Abstract

Problems arising in the area of nonlinear vibrations were studied. Essentially equations such as that for a periodically forced, damped pendulum are capable of exhibiting behavior which was unsuspected even 10 years ago and the principal investigator was in the forefront to the effort to explain these mysteries. It was he who coined the term 'chaos' and the students and publications here identified are confined to that topic. Dr. Yorke reports on work to determine the factual dimension of attracting sets for differential equations together with some vigorous results on the dependence of such sets on equation parameters.

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Document Details

Document Type
Technical Report
Publication Date
Jan 25, 1987
Accession Number
ADA186404

Entities

People

  • James A. Yorke

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Classification
  • Differential Equations
  • Equations
  • Mathematics
  • Physical Sciences
  • Scientific Research
  • Security
  • Students
  • Two Dimensional
  • Universities

Readers

  • Control Systems Engineering.
  • Research Science/Academic Research
  • Theoretical Analysis.