@prefix mdl: <http://data.loterre.fr/ark:/67375/MDL> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

mdl: a skos:ConceptScheme .
mdl:-CVCS9QHH-S
  skos:prefLabel "phase space"@en, "espace des phases"@fr ;
  skos:hiddenLabel "espaces des phases"@fr, "phase spaces"@en, "Espace phases"@fr, "Phase space"@en, "Espace phase"@fr ;
  skos:broader mdl:-G1W33DTD-K ;
  skos:definition "Dans la théorie des systèmes dynamiques, un espace des phases est un espace mathématique dans lequel tous les états possibles d'un système sont représentés ; chaque état possible correspondant à un point unique dans l'espace des phases. Pour les systèmes mécaniques, l'espace des phases se compose généralement de toutes les valeurs possibles des variables de position et d'impulsion. Pour une particule, l'espace des phases a 6 dimensions, les espaces des positions et des impulsions ayant chacun 3 dimensions. Le concept d'espace des phases a été développé à la fin du XIXe siècle par Ludwig Boltzmann, Henri Poincaré et Josiah Willard Gibbs. (Wikipedia, L'Encylopédie Libre, <a href=\"https://fr.wikipedia.org/wiki/Espace_des_phases\" target=\"_blank\">https://fr.wikipedia.org/wiki/Espace_des_phases</a>)"@fr, "Phase space is the mathematical space of all possibilities in a given situation. A motion is then described by a path, trajectory, or orbit in this space. This not the usual kind of path laid out on the ground, but a series of locations in phase space, describing motion or change over a period of time. The terms do, however, that recall the origins of qualitative dynamics in Henri Poincaré's study of planetary motion. The dimension of the phase space is the number of initial conditions needed to uniquely specify a path and is equal to the number of variables in the dynamical system. The temporal behavior of the system is viewed as the succession of states in the system's state space. In the case of a simple pendulum, for example, the instantaneous configuration is given by just two numbers – the position of the pendulum bob and its velocity – which completely describe the system's state. For more complex systems, such as a chain of n pendulums coupled together, the state of the system is much larger. It requires, in this case, 2n numbers to specify the state of the entire system. This collection of all possible configurations is the phase space.  (Encyclopedia of Science, by David Darling, <a href=\"https://www.daviddarling.info/encyclopedia/P/phase_space.html\" target=\"_blank\">https://www.daviddarling.info/encyclopedia/P/phase_space.html</a>)"@en ;
  a skos:Concept ;
  skos:exactMatch <https://www.daviddarling.info/encyclopedia/P/phase_space.html>, <https://fr.wikipedia.org/wiki/Espace_des_phases> ;
  skos:inScheme mdl: .

mdl:-G1W33DTD-K
  skos:prefLabel "dynamical system"@en, "système dynamique"@fr ;
  a skos:Concept ;
  skos:narrower mdl:-CVCS9QHH-S .