Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Poincaré_map> ?p ?o }
Showing triples 1 to 72 of
72
with 100 triples per page.
- Poincaré_map abstract "In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace, called the Poincaré section, transversal to the flow of the system. More precisely, one considers a periodic orbit with initial conditions within a section of the space, which leaves that section afterwards, and observes the point at which this orbit first returns to the section. One then creates a map to send the first point to the second, hence the name first recurrence map. The transversality of the Poincaré section means that periodic orbits starting on the subspace flow through it and not parallel to it.A Poincaré map can be interpreted as a discrete dynamical system with a state space that is one dimension smaller than the original continuous dynamical system. Because it preserves many properties of periodic and quasiperiodic orbits of the original system and has a lower-dimensional state space it is often used for analyzing the original system. In practice this is not always possible as there is no general method to construct a Poincaré map.A Poincaré map differs from a recurrence plot in that space, not time, determines when to plot a point. For instance, the locus of the moon when the earth is at perihelion is a recurrence plot; the locus of the moon when it passes through the plane perpendicular to the Earth's orbit and passing through the sun and the earth at perihelion is a Poincaré map. It was used by Michel Hénon to study the motion of stars in a galaxy, because the path of a star projected onto a plane looks like a tangled mess, while the Poincaré map shows the structure more clearly.".
- Poincaré_map thumbnail Forced_Duffing_equation_Poincaré_section.png?width=300.
- Poincaré_map wikiPageExternalLink book-ode.
- Poincaré_map wikiPageExternalLink PoincareMapintro.html.
- Poincaré_map wikiPageID "876732".
- Poincaré_map wikiPageLength "4946".
- Poincaré_map wikiPageOutDegree "37".
- Poincaré_map wikiPageRevisionID "644727076".
- Poincaré_map wikiPageWikiLink American_Mathematical_Society.
- Poincaré_map wikiPageWikiLink Category:Dynamical_systems.
- Poincaré_map wikiPageWikiLink Diffeomorphism.
- Poincaré_map wikiPageWikiLink Dynamical_system.
- Poincaré_map wikiPageWikiLink Dynamical_system_(definition).
- Poincaré_map wikiPageWikiLink Flow_(mathematics).
- Poincaré_map wikiPageWikiLink Function_(mathematics).
- Poincaré_map wikiPageWikiLink Galaxy.
- Poincaré_map wikiPageWikiLink Henri_Poincaré.
- Poincaré_map wikiPageWikiLink Hénon_map.
- Poincaré_map wikiPageWikiLink Lyapunov_stability.
- Poincaré_map wikiPageWikiLink Mathematics.
- Poincaré_map wikiPageWikiLink Michel_Hénon.
- Poincaré_map wikiPageWikiLink Mironenko_reflecting_function.
- Poincaré_map wikiPageWikiLink Neighbourhood_(mathematics).
- Poincaré_map wikiPageWikiLink Orbit_(dynamics).
- Poincaré_map wikiPageWikiLink Perihelion_and_aphelion.
- Poincaré_map wikiPageWikiLink Periodic_point.
- Poincaré_map wikiPageWikiLink Phase_space.
- Poincaré_map wikiPageWikiLink Poincaré_recurrence_theorem.
- Poincaré_map wikiPageWikiLink Providence,_Rhode_Island.
- Poincaré_map wikiPageWikiLink Real_number.
- Poincaré_map wikiPageWikiLink Recurrence_plot.
- Poincaré_map wikiPageWikiLink Stability_theory.
- Poincaré_map wikiPageWikiLink State_space.
- Poincaré_map wikiPageWikiLink Stroboscopic_map.
- Poincaré_map wikiPageWikiLink Transversality_(mathematics).
- Poincaré_map wikiPageWikiLink File:Forced_Duffing_equation_Poincaré_section.png.
- Poincaré_map wikiPageWikiLink File:Poincare_map.svg.
- Poincaré_map wikiPageWikiLinkText "Poincaré cross-section".
- Poincaré_map wikiPageWikiLinkText "Poincaré map".
- Poincaré_map wikiPageWikiLinkText "Poincaré return map".
- Poincaré_map wikiPageWikiLinkText "Poincaré return maps".
- Poincaré_map wikiPageWikiLinkText "Poincaré section".
- Poincaré_map wikiPageWikiLinkText "Poincaré sections".
- Poincaré_map wikiPageWikiLinkText "Poincaré surface of section".
- Poincaré_map wikiPageWikiLinkText "Poincaré's surface of section".
- Poincaré_map wikiPageWikiLinkText "stroboscopic map".
- Poincaré_map wikiPageUsesTemplate Template:Cite_book.
- Poincaré_map subject Category:Dynamical_systems.
- Poincaré_map hypernym Intersection.
- Poincaré_map type RoadJunction.
- Poincaré_map type Diacritic.
- Poincaré_map type Field.
- Poincaré_map type Mechanic.
- Poincaré_map type Physic.
- Poincaré_map type Redirect.
- Poincaré_map comment "In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace, called the Poincaré section, transversal to the flow of the system.".
- Poincaré_map label "Poincaré map".
- Poincaré_map sameAs Q339199.
- Poincaré_map sameAs Poincaré-Abbildung.
- Poincaré_map sameAs Aplicación_de_Poincaré.
- Poincaré_map sameAs Application_de_Poincaré.
- Poincaré_map sameAs Poincaré-féle_követőfüggvény.
- Poincaré_map sameAs Mappa_di_Poincaré.
- Poincaré_map sameAs ポアンカレ写像.
- Poincaré_map sameAs Poincaré-afbeelding.
- Poincaré_map sameAs m.03kx4_.
- Poincaré_map sameAs Отображение_Пуанкаре.
- Poincaré_map sameAs Q339199.
- Poincaré_map sameAs 庞加莱映射.
- Poincaré_map wasDerivedFrom Poincaré_map?oldid=644727076.
- Poincaré_map depiction Forced_Duffing_equation_Poincaré_section.png.
- Poincaré_map isPrimaryTopicOf Poincaré_map.