| dbo:abstract |
Die Begriffe der rekurrenten Punkte und rekurrenten Orbits werden in der mathematischen Theorie der (maßerhaltenden oder sogar stetigen) dynamischen Systeme verwendet. Anschaulich bedeutet die Rekurrenz eines Punktes unter einem Fluss (oder allgemeiner einer Gruppenwirkung), dass dieser Punkt unendlich oft in die Nähe seiner Ausgangsposition zurückkehrt. (de) In mathematics, a recurrent point for a function f is a point that is in its own limit set by f. Any neighborhood containing the recurrent point will also contain (a countable number of) iterates of it as well. (en) Na teoria dos sistemas dinâmicos, diz-se que um ponto é recorrente quando ele pertence ao seu conjunto ômega-limite. O estudo de um certo sistema dinâmico quase sempre reduz-se à descrição do comportamento das órbitas dos seus pontos recorrentes. (pt) |
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dbr:Proper_subset dbr:Nonwandering_point dbr:Dynamical_system dbr:Limit_set dbr:Compactness dbr:Mathematics dbr:George_David_Birkhoff dbr:Countable dbr:Hausdorff_space dbc:Limit_sets dbr:Homeomorphism dbr:Neighborhood dbr:Invariant_set |
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6034 (xsd:integer) |
| dbp:title |
Recurrent point (en) |
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dbt:Reflist dbt:PlanetMath_attribution dbt:Topology-stub |
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dbc:Limit_sets |
| gold:hypernym |
dbr:Point |
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dbo:Place yago:WikicatLimitSets yago:Abstraction100002137 yago:Collection107951464 yago:Group100031264 yago:Set107996689 |
| rdfs:comment |
Die Begriffe der rekurrenten Punkte und rekurrenten Orbits werden in der mathematischen Theorie der (maßerhaltenden oder sogar stetigen) dynamischen Systeme verwendet. Anschaulich bedeutet die Rekurrenz eines Punktes unter einem Fluss (oder allgemeiner einer Gruppenwirkung), dass dieser Punkt unendlich oft in die Nähe seiner Ausgangsposition zurückkehrt. (de) In mathematics, a recurrent point for a function f is a point that is in its own limit set by f. Any neighborhood containing the recurrent point will also contain (a countable number of) iterates of it as well. (en) Na teoria dos sistemas dinâmicos, diz-se que um ponto é recorrente quando ele pertence ao seu conjunto ômega-limite. O estudo de um certo sistema dinâmico quase sempre reduz-se à descrição do comportamento das órbitas dos seus pontos recorrentes. (pt) |
| rdfs:label |
Rekurrenter Punkt (de) Recurrent point (en) Ponto recorrente (pt) |
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freebase:Recurrent point yago-res:Recurrent point wikidata:Recurrent point dbpedia-de:Recurrent point dbpedia-pt:Recurrent point https://global.dbpedia.org/id/4tcRx |
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wikipedia-en:Recurrent_point?oldid=745786557&ns=0 |
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wikipedia-en:Recurrent_point |
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dbr:Recurrent_set |
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dbr:Limit_set dbr:List_of_mathematical_properties_of_points dbr:George_David_Birkhoff dbr:Poincaré_recurrence_theorem dbr:Recurrent_set |
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wikipedia-en:Recurrent_point |