Chaos in Classical Nonlinear Fields

Abstract

Chaotic behavior is studied in a high-dimensional periodic lattice version of the classical Hamiltonian phi-four field theory. Both single and double well potentials were considered. Examined is the existence of a global stochasticity threshold that varied with energy and initial conditions. The model was discretized using an algorithm due to Hirota that guarantees stability and energy conservation. Chaotic behavior was diagnosed using the Lyapunov exponent, with additional information from space-time profiles, Fourier power spectra, and phase space plots. Long time scales made it difficult to distinguish between asymptotically chaotic and integrable behavior.

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Document Details

Document Type
Technical Report
Publication Date
May 21, 1990
Accession Number
ADA229434

Entities

People

  • Dawn C. Meredith
  • Harvey K. Shepard

Organizations

  • University of New Hampshire

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Algorithms
  • Differential Equations
  • Elementary Particles
  • Energy Conservation
  • Equations
  • Equations Of Motion
  • High Energy
  • New Hampshire
  • Partial Differential Equations
  • Particle Physics
  • Physics
  • Power Spectra
  • Solitons
  • Subatomic Particles
  • Trajectories

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space