MATHEMATICAL MODELS FOR NONLINEAR MODE INTERACTIONS IN BOUNDED PLASMAS.

Abstract

Mathematical models are derived which reproduce a number of physical phenomena that have been observed in experiments on instabilities in continuously operating (cw) plasma devices. Of particular concern is the description of self-excited, steady-state oscillation in systems that can oscillate in more than one mode simultaneously. Although many of the experimental results are derived from work with a thermal plasma device (Q-machine), the general approach should be useful for other situations in which quasi-stationary oscillations are observed experimentally. The central point of the entire analysis is the description of the temporal behavior of the normal mode or eigenfunction by the Van der Pol equation.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0654198

Entities

People

  • Herbert Lashinsky

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Eigenvectors
  • Equations
  • Instability
  • Mathematical Models
  • Mathematics
  • Models
  • Oscillation
  • Plasmonic Devices
  • Stationary
  • Steady State

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Plasma Physics / Magnetohydrodynamics