URI http://ori.unit-c.fr/uid/unit-ori-wf-1-7137 Source Of Complexity (An Introduction to Complex Systems in Environment) fre We saw in the previous lesson some complex systems that can be found in environment. We also highlighted that there is non single definition of complexity. Through this lesson we will focus on the sources of complexity in a given system, what are the issues that can arise for the best model a complex system such as: at what scale should we describe the behaviors of the system's components?. What are the scales involved in the evolution of the system?. We can list some characteristics of complex systems: Too many components, too many constraints, too many parameters for consideration to accomplish a particular task. Not enough information about essential elements or components of a system or about their interfaces. Not enough information about how elements or components will behave under known or unknown conditions that may lead to unintended consequences Among the sources of complexity we will focus on the non-linearity of complex systems and differential equations which describe them. We will show that some methods of analysis based on scale invariance can be considered as good candidates for the characterization of complex systems. Second module of the course set "An Introduction to Complex Systems in Environment" complex systems in environment environmental engineering complex systems non-linearity variability Navier-Stokes equations equation of motion equation of state ingénierie de l’environnement système complexe LOMv1.0 collection LOMv1.0 4 LOMv1.0 texte LOMv1.0 image LOMv1.0 ressource interactive LOMv1.0 author BEGIN:VCARD VERSION:3.0 N:MEZEMATE;Yacine;;; FN:Yacine MEZEMATE EMAIL;TYPE=INTERNET: ORG:Ecole des Ponts ParisTech END:VCARD 2017-04-14 LOMv1.0 author BEGIN:VCARD VERSION:3.0 N:SCHERTZER;Daniel;;; FN:Daniel SCHERTZER EMAIL;TYPE=INTERNET: ORG:Ecole des Ponts ParisTech END:VCARD 2017-04-14 LOMv1.0 publisher BEGIN:VCARD VERSION:3.0 N:Ecole des Ponts ParisTech;;;; FN:Ecole des Ponts ParisTech EMAIL;TYPE=INTERNET: ORG:ENPC END:VCARD 2017-04-14 LOMv1.0 publisher BEGIN:VCARD VERSION:3.0 N:UNIT;;;; FN:UNIT EMAIL;TYPE=INTERNET: ORG:UNIT END:VCARD 2017-04-14 URI http://ori.unit-c.fr/uid/unit-ori-wf-1-7138 LOMv1.0 LOMFRv1.0 SupLOMFRv1.0 text/html https://hmco.enpc.fr/UNIT_ComplexSystems/~gen/2_SourceOfComplexity/2_SourceOfComplexity_web.publi/web/co/2_SourceOfComplexity_web.html LOMv1.0 lecture LOMv1.0 exercise LOMv1.0 medium LOMv1.0 teacher LOMv1.0 learner LOMv1.0 manager LOMv1.0 higher education SupLOMFRv1.0 bac+3 fre LOMv1.0 no LOMv1.0 yes 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). LOMv1.0 ispartof URI https://hmco.enpc.fr/complex-systems/ An Introduction to Complex Systems in Environment LOMv1.0 discipline Classification UNIT 104 Traitements de problèmes d'environnement Classification UNIT 103 Problèmes d'environnement LOMv1.0 discipline CDD 22e éd. 628.1 Techniques sanitaires et urbaines : approvisionnement en eau CDD 22e éd. 628.5 Contrôle de la pollution et techniques d'hygiène industrielle : sites pollués, sols, air CDD 22e éd. 363.7 Déchets, pollutions, polluants, bruit LOMv1.0 security level Projet OCW France tag-ocw Catalogue OCWC home-example unit-cofinance