Whiskered Tori for Integrable Pde's: Chaotic Behavior in Near Integrable Pde's

Abstract

This is the final report for a project studying the perturbed sine- Gordon partial differential equations and the nonlinear Schrodinger partial differential equations. We studied low-dimensional chaos in these dissipative partial differential equations, in order to understand the onset of chaos, the underlying geometry of the partial differential equations, and how the chaos is low-dimensional. Final report, Chaos, Homoclinic orbits, Near Integrable Partial Differential Equations.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1994
Accession Number
ADA278390

Entities

People

  • David W. Mclaughlin
  • Edward A. Overman Ii

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Deep Water
  • Differential Equations
  • Equations
  • Four Dimensional
  • Geometry
  • Mathematical Models
  • Mathematics
  • Models
  • Nonlinear Dynamics
  • Partial Differential Equations
  • Perturbation Theory
  • Perturbations
  • Systems Biology
  • United States
  • Water Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space
  • Space - Orbital Debris