Accession Number : ADA186404

Title :   Theoretical Investigations of Chaotic Dynamics.

Descriptive Note : Final rept. 15 Jun 81-29 Nov 86,

Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY

Personal Author(s) : Yorke, James A

PDF Url : ADA186404

Report Date : 25 Jan 1987

Pagination or Media Count : 4

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.

Descriptors :   *ENTROPY, *MATHEMATICAL ANALYSIS, DAMPING, DIFFERENTIAL EQUATIONS, DYNAMICS, NONLINEAR SYSTEMS, VIBRATION, THEORY, LYAPUNOV FUNCTIONS, PENDULUMS

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE