Chaotic Solutions of Nonlinear Wave-Wave Interacting Systems in Plasmas.

Abstract

We study the chaotic behavior and phase locking in wave-wave interacting systems with linear damping or growth terms. For a two or three-wave interaction, the system equations are reducible to a real three-dimensional equation on a certain set, sigma, in the state space. For a three-wave interaction, the phases of the waves are locked on sigma. We consider only systems of positive-energy waves whose reduced equations may have chaotic behavior for almost all initial conditions.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA094628

Entities

People

  • Koshiro Masui

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • California
  • Differential Equations
  • Eigenvalues
  • Electrical Solitons
  • Engineering
  • Equations
  • Frequency
  • Mathematical Models
  • Mixing
  • Oscillation
  • Oscillators
  • Parametric Instability
  • Plastic Explosives
  • Probability
  • Real Numbers
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space