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

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.

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Document Details

Document Type
Technical Report
Publication Date
Feb 20, 1996
Accession Number
ADA308294

Entities

People

  • Mark Levi

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Computational Science
  • Differential Equations
  • Dynamics
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Frequency
  • Geometry
  • Mathematical Models
  • Mechanics
  • Nonlinear Dynamics
  • Oscillators
  • Relaxation Oscillators
  • Resonance

Readers

  • Control Systems Engineering.
  • Technical Research and Report Writing.
  • Wave Propagation and Nonlinear Chaotic Dynamics.