Non Linear Dynamics and Chaos (La Dynamique Non-Lineaie et le Chaos)

Abstract

In the last decade many efforts have been oriented towards the understanding of the unexpected behavior of systems-linear or non-linear. These could be large (weather systems, biological life) or small (automatic pilot). A new branch of dynamics is now considered; it is called 'Chaos'. Some general theories have emerged and reconsideration of concepts of non-linear control to determine the stability of such systems is now intensively studied in the scientific community. It is planned that the following topic will be covered: (1) Linear (including time varying coefficients equations) vs non-linear systems. Types of non-linearity: curved characteristics, jumps, bifurcation; (2) Non-linear dynamics; sensibility to initial conditions and/or uncertainties on the system parameters. Robustness; (3) Neuronal-type machines; (4) Chaos-Random process behavior; (5) Reversibility and irreversibility; Newtonian mechanics and thermodynamics; (6) Fractals; and (7) Applications: Fluid mechanics, meteorology, aircraft behavior, and mechanical systems.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA268782

Entities

Organizations

  • AGARD

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Cyber
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aircrafts
  • Boundary Layer
  • Closed Loop Systems
  • Computational Fluid Dynamics
  • Computational Science
  • Control Systems
  • Convection
  • Differential Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Frequency Domain
  • Linear Differential Equations
  • Linear Systems
  • Mathematical Filters
  • Nonlinear Dynamics
  • Physics Laboratories
  • Two Dimensional

Readers

  • Control Systems Engineering.
  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.