Accession Number : ADA308294

Title :   Mathematical Models of Non-Linear Mechanical and Electrical Systems and Their Qualitative Behavior.

Descriptive Note : Final rept. Dec 91-Aug 95,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Levi, Mark

PDF Url : ADA308294

Report Date : 20 FEB 1996

Pagination or Media Count : 7

Abstract : Under this grant my students and I conducted research in the following areas. (1) Nonlinear dynamics of coupled and forced oscillators modelling electric circuits; (2) geometric phases in mechanics; (3) two industrial problems, one in fluid dynamics and the other in granular flow; (4) new geometrical results on parametric resonance; (5) Stability and instability of nonlinear Hamiltonian systems, with some applications to geometric optics, using KAM theory. (6) Other research started under this grant is still in progress for 1995.

Descriptors :   *MATHEMATICAL MODELS, PARAMETRIC ANALYSIS, MATRICES(MATHEMATICS), VORTICES, COMPUTATIONAL FLUID DYNAMICS, NONLINEAR SYSTEMS, SYSTEMS ANALYSIS, NONLINEAR ANALYSIS, RESEARCH MANAGEMENT, APPLIED MATHEMATICS, OSCILLATION, CIRCUIT ANALYSIS, HAMILTONIAN FUNCTIONS.

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE