Final Scientific Report on Grant AFOSR-80-0175.

Abstract

During the period of this grant the investigators addressed nonlinear resonance and interactions involving systems of nonlinear ordinary differential equations with slowly varying coefficients. More specifically, they investigated passage through resonance, sustained resonance as in roll resonance, particle accelerators or free electron lasers, global adiabatic invariants and weakly nonlinear wave interactions. Approaches used included matching asymptotic expansions, multiple scale expansions, higher order averaging, the Melnikov method and near identity canonical transformations to obtain global adiabatic invariants. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1983
Accession Number
ADA135117

Entities

People

  • J. Kevorkian

Organizations

  • University of Washington

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Asymptotic Series
  • Computational Science
  • Differential Equations
  • Electron Beams
  • Electron Energy
  • Electrons
  • Equations
  • Fluid Mechanics
  • Free Electron Lasers
  • Free Electrons
  • Frequency
  • Identities
  • Mathematics
  • Particle Accelerators
  • Security

Readers

  • Control Systems Engineering.
  • Plasma Physics / Magnetohydrodynamics
  • Technical Research and Report Writing.

Technology Areas

  • Directed Energy
  • Microelectronics