Improved Techniques for Modeling and Controlling Nonlinear Systems with Few Degrees of Freedom

Abstract

New nonlinear signal processing and modeling techniques were examined. The key issues which formed the focus of the project: were (1) The design of coupling terms for synchronizing the model with driving signals from the system of interest. This is the first analytical result of its kind, and gives sufficient conditions for guaranteeing that the model will synchronize. (2) The development of symbolic time series methods for estimation of correlation timescales of complex signals and the detection of weak periodicites. (3) A theory of anomalous scaling behavior in nonnomal systems which are subcritical (i.e. linearly stable but unstable to finite amplitude perturbations). Both noise free and noise driven cases were treated.

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Document Details

Document Type
Technical Report
Publication Date
Mar 27, 1998
Accession Number
ADA340951

Entities

People

  • E. R. Tracy
  • Reggie Brown

Organizations

  • College of William & Mary

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Chemical Reactions
  • Couplings
  • Detection
  • Detectors
  • Differential Equations
  • Equations
  • Information Retrieval
  • Internal Combustion Engines
  • New York
  • Nonlinear Systems
  • Observers
  • Partial Differential Equations
  • Perturbations
  • Physics
  • Scaling Laws
  • Shear Flow
  • Statistics

Readers

  • Acoustical Oceanography.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers