Characterization of Complex Systems by Aperiodic Driving Forces

Abstract

The response of a complex system is usually very complicated if it is perturbed by a sinusiodal driving force. We show, however, that for every complex system there is a special aperiodic driving force which produces a simple response. This special driving force is related to a certain nonlinear differential equation. We propose to use the parameters of this differential equation to describe the complexity of the system.

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Document Details

Document Type
Technical Report
Publication Date
Jun 21, 1989
Accession Number
ADA245832

Entities

People

  • Alfred Huebler
  • Daniel Bensen
  • Michael Welge
  • Norman Packard

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Complex Systems
  • Differential Equations
  • Dynamics
  • Energy
  • Energy Transfer
  • Equations
  • New York
  • Nonlinear Differential Equations
  • Nonlinear Systems
  • Oscillation
  • Oscillators
  • Perturbations
  • Physics
  • Resonance
  • Step Functions

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Geotechnical Engineering.
  • Radio communications and signal processing.