Dynamical Systems (An Introduction to Complex Systems in Environment)

Auteur(s) : Yacine MEZEMATE, Daniel SCHERTZER    2017-04-14,  2017-04-14  Éditeur(s) : Ecole des Ponts ParisTech   ENPC, UNIT   UNIT;     Description : When we describe the evolution of a system we use several variables, i.e. a set of magnitudes, functions of space and time, the values of which define everything we know about the system completely and unambiguously. Then, the evolution of the systems is given by the evolution of the set of variables, according to some specific laws. A dynamic system is defined by a set of variables and a set of differential equations. During this lesson, we will focus on a mathematical description of dynamical systems using ODEs, we will discuss the stability in time of such systems and their evolution to the chaos. Third module of the course set "An Introduction to Complex Systems in Environment" Mots-clés libres : complex systems in environment, environmental engineering, dynamical systems, non-linear dynamical system, chaos, Saddle-Node Bifurcation, Pitchfork Bifurcation, Hopf Bifurcation, ingénierie de l’environnement, système complexe Accès à la ressource : https://hmco.enpc.fr/UNIT_ComplexSystems/~gen/3_Dy... Conditions d'utilisation : Cet ensemble de supports pédagogiques est la propriété, à parts égales, d’UNIT et de l'École des Ponts ParisTech. Il est régi par la licence logicielle GPL, dans sa version française CeCILL (http://www.cecill.info/licences/Licence_CeCILL-V1_VF.pdf).

DONNEES PEDAGOGIQUES Type pédagogique : lecture, exercise Granularité : 4 Niveau : higher education, bac+3 Public cible : teacher, learner, manager Langue de l'apprenant : fre Niveau d'interactivité du document : medium DONNEES TECHNIQUES Format : text/html

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