Accession Number : ADA268782


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


Corporate Author : ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT NEUILLY-SUR-SEINE (FRANCE)


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a268782.pdf


Report Date : Jun 1993


Pagination or Media Count : 121


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.


Descriptors :   *DYNAMICS , *CHAOS , *NONLINEAR SYSTEMS , NATO , STABILITY , FRENCH LANGUAGE , BIFURCATION(MATHEMATICS)


Subject Categories : Operations Research


Distribution Statement : APPROVED FOR PUBLIC RELEASE